TSTP Solution File: SWC007+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC007+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:38:50 EDT 2023
% Result : Theorem 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC007+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:22:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.36 % Drodi V3.5.1
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.43 fof(f17,axiom,(
% 0.19/0.43 ssList(nil) ),
% 0.19/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f28,axiom,(
% 0.19/0.43 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.19/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f84,axiom,(
% 0.19/0.43 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.19/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f96,conjecture,(
% 0.19/0.43 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U ) )) )) )) ) )) )) )) )),
% 0.19/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.43 fof(f97,negated_conjecture,(
% 0.19/0.43 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U ) )) )) )) ) )) )) )) ))),
% 0.19/0.43 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/0.43 fof(f223,plain,(
% 0.19/0.43 ssList(nil)),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.43 fof(f248,plain,(
% 0.19/0.43 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.19/0.43 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.19/0.43 fof(f249,plain,(
% 0.19/0.43 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f248])).
% 0.19/0.43 fof(f388,plain,(
% 0.19/0.43 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.19/0.43 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.19/0.43 fof(f389,plain,(
% 0.19/0.43 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f388])).
% 0.19/0.43 fof(f415,plain,(
% 0.19/0.43 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((nil=W&V=X)&U=W)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U)))))))))))))))),
% 0.19/0.43 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.19/0.43 fof(f416,plain,(
% 0.19/0.43 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((nil=sk0_49&sk0_48=sk0_50)&sk0_47=sk0_49)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=sk0_48)|~app(Y,X1)=sk0_47)))))))))))),
% 0.19/0.43 inference(skolemization,[status(esa)],[f415])).
% 0.19/0.43 fof(f418,plain,(
% 0.19/0.43 ssList(sk0_48)),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f416])).
% 0.19/0.43 fof(f421,plain,(
% 0.19/0.43 nil=sk0_49),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f416])).
% 0.19/0.43 fof(f423,plain,(
% 0.19/0.43 sk0_47=sk0_49),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f416])).
% 0.19/0.43 fof(f424,plain,(
% 0.19/0.43 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk0_48|~app(X0,X2)=sk0_47)),
% 0.19/0.43 inference(cnf_transformation,[status(esa)],[f416])).
% 0.19/0.43 fof(f439,plain,(
% 0.19/0.43 sk0_47=nil),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.19/0.43 fof(f441,plain,(
% 0.19/0.43 app(nil,nil)=nil),
% 0.19/0.43 inference(resolution,[status(thm)],[f249,f223])).
% 0.19/0.43 fof(f442,plain,(
% 0.19/0.43 app(nil,sk0_48)=sk0_48),
% 0.19/0.43 inference(resolution,[status(thm)],[f249,f418])).
% 0.19/0.43 fof(f444,plain,(
% 0.19/0.43 app(sk0_48,nil)=sk0_48),
% 0.19/0.43 inference(resolution,[status(thm)],[f389,f418])).
% 0.19/0.43 fof(f452,plain,(
% 0.19/0.43 spl0_1 <=> ssList(nil)),
% 0.19/0.43 introduced(split_symbol_definition)).
% 0.19/0.43 fof(f454,plain,(
% 0.19/0.43 ~ssList(nil)|spl0_1),
% 0.19/0.43 inference(component_clause,[status(thm)],[f452])).
% 0.19/0.43 fof(f455,plain,(
% 0.19/0.43 spl0_2 <=> ssList(sk0_48)),
% 0.19/0.43 introduced(split_symbol_definition)).
% 0.19/0.43 fof(f457,plain,(
% 0.19/0.43 ~ssList(sk0_48)|spl0_2),
% 0.19/0.43 inference(component_clause,[status(thm)],[f455])).
% 0.19/0.43 fof(f484,plain,(
% 0.19/0.43 $false|spl0_1),
% 0.19/0.43 inference(forward_subsumption_resolution,[status(thm)],[f454,f223])).
% 0.19/0.43 fof(f485,plain,(
% 0.19/0.43 spl0_1),
% 0.19/0.43 inference(contradiction_clause,[status(thm)],[f484])).
% 0.19/0.43 fof(f486,plain,(
% 0.19/0.43 $false|spl0_2),
% 0.19/0.43 inference(forward_subsumption_resolution,[status(thm)],[f457,f418])).
% 0.19/0.43 fof(f487,plain,(
% 0.19/0.43 spl0_2),
% 0.19/0.43 inference(contradiction_clause,[status(thm)],[f486])).
% 0.19/0.43 fof(f525,plain,(
% 0.19/0.43 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk0_48|~app(X0,X2)=nil)),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f439,f424])).
% 0.19/0.43 fof(f531,plain,(
% 0.19/0.43 spl0_11 <=> ~ssList(X0)|~app(sk0_48,X0)=sk0_48|~app(nil,X0)=nil),
% 0.19/0.43 introduced(split_symbol_definition)).
% 0.19/0.43 fof(f532,plain,(
% 0.19/0.43 ![X0]: (~ssList(X0)|~app(sk0_48,X0)=sk0_48|~app(nil,X0)=nil|~spl0_11)),
% 0.19/0.43 inference(component_clause,[status(thm)],[f531])).
% 0.19/0.43 fof(f534,plain,(
% 0.19/0.43 ![X0]: (~ssList(nil)|~ssList(sk0_48)|~ssList(X0)|~app(sk0_48,X0)=sk0_48|~app(nil,X0)=nil)),
% 0.19/0.43 inference(paramodulation,[status(thm)],[f442,f525])).
% 0.19/0.43 fof(f535,plain,(
% 0.19/0.43 ~spl0_1|~spl0_2|spl0_11),
% 0.19/0.43 inference(split_clause,[status(thm)],[f534,f452,f455,f531])).
% 0.19/0.43 fof(f549,plain,(
% 0.19/0.43 spl0_14 <=> app(nil,nil)=nil),
% 0.19/0.43 introduced(split_symbol_definition)).
% 0.19/0.43 fof(f551,plain,(
% 0.19/0.43 ~app(nil,nil)=nil|spl0_14),
% 0.19/0.43 inference(component_clause,[status(thm)],[f549])).
% 0.19/0.43 fof(f552,plain,(
% 0.19/0.43 ~ssList(nil)|~app(nil,nil)=nil|~spl0_11),
% 0.19/0.43 inference(resolution,[status(thm)],[f532,f444])).
% 0.19/0.43 fof(f553,plain,(
% 0.19/0.43 ~spl0_1|~spl0_14|~spl0_11),
% 0.19/0.43 inference(split_clause,[status(thm)],[f552,f452,f549,f531])).
% 0.19/0.43 fof(f556,plain,(
% 0.19/0.43 ~nil=nil|spl0_14),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f441,f551])).
% 0.19/0.43 fof(f557,plain,(
% 0.19/0.43 $false|spl0_14),
% 0.19/0.43 inference(trivial_equality_resolution,[status(esa)],[f556])).
% 0.19/0.43 fof(f558,plain,(
% 0.19/0.43 spl0_14),
% 0.19/0.43 inference(contradiction_clause,[status(thm)],[f557])).
% 0.19/0.43 fof(f559,plain,(
% 0.19/0.43 $false),
% 0.19/0.43 inference(sat_refutation,[status(thm)],[f485,f487,f535,f553,f558])).
% 0.19/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.48 % Elapsed time: 0.135133 seconds
% 0.19/0.48 % CPU time: 0.200196 seconds
% 0.19/0.48 % Memory used: 22.876 MB
%------------------------------------------------------------------------------