TSTP Solution File: SWC415+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC415+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:40:23 EDT 2023
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC415+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n016.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 11:49:44 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f15,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f17,axiom,(
% 0.12/0.36 ssList(nil) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f24,axiom,(
% 0.12/0.36 (! [U] :( ssList(U)=> ( nil != U=> ssList(tl(U)) ) ) )),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f96,conjecture,(
% 0.12/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& W != Y& tl(X) = Y& neq(nil,X) ))| (? [Z] :( ssList(Z)& tl(V) = Z& U = Z& neq(nil,V) ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f97,negated_conjecture,(
% 0.12/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& W != Y& tl(X) = Y& neq(nil,X) ))| (? [Z] :( ssList(Z)& tl(V) = Z& U = Z& neq(nil,V) ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.36 fof(f217,plain,(
% 0.12/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.12/0.36 fof(f218,plain,(
% 0.12/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f217])).
% 0.12/0.36 fof(f219,plain,(
% 0.12/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.36 fof(f220,plain,(
% 0.12/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.12/0.36 fof(f223,plain,(
% 0.12/0.36 ssList(nil)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.36 fof(f240,plain,(
% 0.12/0.36 ![U]: (~ssList(U)|(nil=U|ssList(tl(U))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.12/0.36 fof(f241,plain,(
% 0.12/0.36 ![X0]: (~ssList(X0)|nil=X0|ssList(tl(X0)))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f240])).
% 0.12/0.36 fof(f415,plain,(
% 0.12/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: (((~ssList(Y)|W=Y)|~tl(X)=Y)|~neq(nil,X))))&(![Z]: (((~ssList(Z)|~tl(V)=Z)|~U=Z)|~neq(nil,V))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.12/0.36 fof(f416,plain,(
% 0.12/0.36 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: (((~ssList(Y)|W=Y)|~tl(X)=Y)|~neq(nil,X))))&(![Z]: (((~ssList(Z)|~tl(V)=Z)|~U=Z)|~neq(nil,V)))))),
% 0.12/0.36 introduced(predicate_definition,[f415])).
% 0.12/0.36 fof(f417,plain,(
% 0.12/0.36 ?[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)))))))))))),
% 0.12/0.36 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.12/0.36 fof(f418,plain,(
% 0.12/0.36 (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))))))))),
% 0.12/0.36 inference(skolemization,[status(esa)],[f417])).
% 0.12/0.36 fof(f420,plain,(
% 0.12/0.36 ssList(sk0_48)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.36 fof(f423,plain,(
% 0.12/0.36 sk0_48=sk0_50),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.36 fof(f424,plain,(
% 0.12/0.36 sk0_47=sk0_49),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.36 fof(f425,plain,(
% 0.12/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.36 fof(f426,plain,(
% 0.12/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.12/0.36 fof(f427,plain,(
% 0.12/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (((~ssList(Y)|W=Y)|~tl(X)=Y)|~neq(nil,X))))&(![Z]: (((~ssList(Z)|~tl(V)=Z)|~U=Z)|~neq(nil,V)))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.12/0.36 fof(f428,plain,(
% 0.12/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&((![Y]: ((~ssList(Y)|W=Y)|~tl(X)=Y))|~neq(nil,X)))&((![Z]: ((~ssList(Z)|~tl(V)=Z)|~U=Z))|~neq(nil,V))))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f427])).
% 0.12/0.36 fof(f429,plain,(
% 0.12/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.12/0.36 fof(f430,plain,(
% 0.12/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|X1=X4|~tl(X0)=X4|~neq(nil,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.12/0.36 fof(f431,plain,(
% 0.12/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|~tl(X2)=X4|~X3=X4|~neq(nil,X2))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.12/0.36 fof(f432,plain,(
% 0.12/0.36 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f433,plain,(
% 0.12/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f432])).
% 0.12/0.36 fof(f435,plain,(
% 0.12/0.36 spl0_1 <=> neq(sk0_48,nil)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f436,plain,(
% 0.12/0.36 neq(sk0_48,nil)|~spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f435])).
% 0.12/0.36 fof(f438,plain,(
% 0.12/0.36 spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f425,f432,f435])).
% 0.12/0.36 fof(f439,plain,(
% 0.12/0.36 spl0_2 <=> neq(sk0_50,nil)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f441,plain,(
% 0.12/0.36 ~neq(sk0_50,nil)|spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f439])).
% 0.12/0.36 fof(f442,plain,(
% 0.12/0.36 spl0_0|~spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f426,f432,f439])).
% 0.12/0.36 fof(f458,plain,(
% 0.12/0.36 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.12/0.36 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.12/0.36 fof(f459,plain,(
% 0.12/0.36 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.12/0.36 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 0.12/0.36 fof(f473,plain,(
% 0.12/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~ssList(tl(X0))|X1=tl(X0)|~neq(nil,X0))),
% 0.12/0.36 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.12/0.36 fof(f474,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2,tl(X2))|~ssList(tl(X2))|~neq(nil,X2))),
% 0.12/0.36 inference(destructive_equality_resolution,[status(esa)],[f431])).
% 0.12/0.36 fof(f481,plain,(
% 0.12/0.36 ~neq(sk0_48,nil)|spl0_2),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f423,f441])).
% 0.12/0.36 fof(f482,plain,(
% 0.12/0.36 spl0_3 <=> ssList(sk0_48)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f484,plain,(
% 0.12/0.36 ~ssList(sk0_48)|spl0_3),
% 0.12/0.36 inference(component_clause,[status(thm)],[f482])).
% 0.12/0.36 fof(f485,plain,(
% 0.12/0.36 spl0_4 <=> ssList(nil)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f487,plain,(
% 0.12/0.36 ~ssList(nil)|spl0_4),
% 0.12/0.36 inference(component_clause,[status(thm)],[f485])).
% 0.12/0.36 fof(f488,plain,(
% 0.12/0.36 spl0_5 <=> sk0_48=nil),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f489,plain,(
% 0.12/0.36 sk0_48=nil|~spl0_5),
% 0.12/0.36 inference(component_clause,[status(thm)],[f488])).
% 0.12/0.36 fof(f491,plain,(
% 0.12/0.36 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_2),
% 0.12/0.36 inference(resolution,[status(thm)],[f481,f220])).
% 0.12/0.36 fof(f492,plain,(
% 0.12/0.36 ~spl0_3|~spl0_4|spl0_5|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f491,f482,f485,f488,f439])).
% 0.12/0.36 fof(f501,plain,(
% 0.12/0.36 $false|spl0_4),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f487,f223])).
% 0.12/0.36 fof(f502,plain,(
% 0.12/0.36 spl0_4),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f501])).
% 0.12/0.36 fof(f503,plain,(
% 0.12/0.36 $false|spl0_3),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f484,f420])).
% 0.12/0.36 fof(f504,plain,(
% 0.12/0.36 spl0_3),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f503])).
% 0.12/0.36 fof(f505,plain,(
% 0.12/0.36 nil=sk0_50|~spl0_5),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f489,f423])).
% 0.12/0.36 fof(f507,plain,(
% 0.12/0.36 pd0_0(nil,sk0_49,sk0_48,sk0_47)|~spl0_5|~spl0_0),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f505,f433])).
% 0.12/0.36 fof(f508,plain,(
% 0.12/0.36 pd0_0(nil,sk0_47,sk0_48,sk0_47)|~spl0_5|~spl0_0),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f424,f507])).
% 0.12/0.36 fof(f509,plain,(
% 0.12/0.36 pd0_0(nil,sk0_47,nil,sk0_47)|~spl0_5|~spl0_0),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f489,f508])).
% 0.12/0.36 fof(f510,plain,(
% 0.12/0.36 neq(nil,nil)|~spl0_5|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f509,f429])).
% 0.12/0.36 fof(f511,plain,(
% 0.12/0.36 ~ssList(nil)|~spl0_5|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f510,f459])).
% 0.12/0.36 fof(f512,plain,(
% 0.12/0.36 ~spl0_4|~spl0_5|~spl0_0),
% 0.12/0.36 inference(split_clause,[status(thm)],[f511,f485,f488,f432])).
% 0.12/0.36 fof(f514,plain,(
% 0.12/0.36 neq(nil,nil)|~spl0_5|~spl0_1),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f489,f436])).
% 0.12/0.36 fof(f519,plain,(
% 0.12/0.36 ~ssList(nil)|~spl0_5|~spl0_1),
% 0.12/0.36 inference(resolution,[status(thm)],[f514,f459])).
% 0.12/0.36 fof(f520,plain,(
% 0.12/0.36 ~spl0_4|~spl0_5|~spl0_1),
% 0.28/0.58 inference(split_clause,[status(thm)],[f519,f485,f488,f435])).
% 0.28/0.58 fof(f522,plain,(
% 0.28/0.58 pd0_0(sk0_50,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.28/0.58 inference(forward_demodulation,[status(thm)],[f424,f433])).
% 0.28/0.58 fof(f524,plain,(
% 0.28/0.58 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.28/0.58 inference(backward_demodulation,[status(thm)],[f423,f522])).
% 0.28/0.58 fof(f526,plain,(
% 0.28/0.58 spl0_8 <=> ssList(tl(sk0_48))),
% 0.28/0.58 introduced(split_symbol_definition)).
% 0.28/0.58 fof(f528,plain,(
% 0.28/0.58 ~ssList(tl(sk0_48))|spl0_8),
% 0.28/0.58 inference(component_clause,[status(thm)],[f526])).
% 0.28/0.58 fof(f529,plain,(
% 0.28/0.58 spl0_9 <=> sk0_47=tl(sk0_48)),
% 0.28/0.58 introduced(split_symbol_definition)).
% 0.28/0.58 fof(f530,plain,(
% 0.28/0.58 sk0_47=tl(sk0_48)|~spl0_9),
% 0.28/0.58 inference(component_clause,[status(thm)],[f529])).
% 0.28/0.58 fof(f532,plain,(
% 0.28/0.58 spl0_10 <=> neq(nil,sk0_48)),
% 0.28/0.58 introduced(split_symbol_definition)).
% 0.28/0.58 fof(f534,plain,(
% 0.28/0.58 ~neq(nil,sk0_48)|spl0_10),
% 0.28/0.58 inference(component_clause,[status(thm)],[f532])).
% 0.28/0.58 fof(f535,plain,(
% 0.28/0.58 ~ssList(tl(sk0_48))|sk0_47=tl(sk0_48)|~neq(nil,sk0_48)|~spl0_0),
% 0.28/0.58 inference(resolution,[status(thm)],[f473,f524])).
% 0.28/0.58 fof(f536,plain,(
% 0.28/0.58 ~spl0_8|spl0_9|~spl0_10|~spl0_0),
% 0.28/0.58 inference(split_clause,[status(thm)],[f535,f526,f529,f532,f432])).
% 0.28/0.58 fof(f537,plain,(
% 0.28/0.58 ~ssList(nil)|~ssList(sk0_48)|nil=sk0_48|spl0_10),
% 0.28/0.58 inference(resolution,[status(thm)],[f534,f220])).
% 0.28/0.58 fof(f538,plain,(
% 0.28/0.58 ~spl0_4|~spl0_3|spl0_5|spl0_10),
% 0.28/0.58 inference(split_clause,[status(thm)],[f537,f485,f482,f488,f532])).
% 0.28/0.58 fof(f541,plain,(
% 0.28/0.58 ~ssList(sk0_48)|nil=sk0_48|spl0_8),
% 0.28/0.58 inference(resolution,[status(thm)],[f528,f241])).
% 0.28/0.58 fof(f542,plain,(
% 0.28/0.58 ~spl0_3|spl0_5|spl0_8),
% 0.28/0.58 inference(split_clause,[status(thm)],[f541,f482,f488,f526])).
% 0.28/0.58 fof(f550,plain,(
% 0.28/0.58 spl0_12 <=> ~pd0_0(X0,X1,sk0_48,sk0_47)),
% 0.28/0.58 introduced(split_symbol_definition)).
% 0.28/0.58 fof(f551,plain,(
% 0.28/0.58 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_12)),
% 0.28/0.58 inference(component_clause,[status(thm)],[f550])).
% 0.28/0.58 fof(f553,plain,(
% 0.28/0.58 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~ssList(tl(sk0_48))|~neq(nil,sk0_48)|~spl0_9)),
% 0.28/0.58 inference(paramodulation,[status(thm)],[f530,f474])).
% 0.28/0.58 fof(f554,plain,(
% 0.28/0.58 spl0_12|~spl0_8|~spl0_10|~spl0_9),
% 0.28/0.58 inference(split_clause,[status(thm)],[f553,f550,f526,f532,f529])).
% 0.28/0.58 fof(f566,plain,(
% 0.28/0.58 $false|~spl0_12|~spl0_0),
% 0.28/0.58 inference(backward_subsumption_resolution,[status(thm)],[f524,f551])).
% 0.28/0.58 fof(f567,plain,(
% 0.28/0.58 ~spl0_12|~spl0_0),
% 0.28/0.58 inference(contradiction_clause,[status(thm)],[f566])).
% 0.28/0.58 fof(f568,plain,(
% 0.28/0.58 $false),
% 0.28/0.58 inference(sat_refutation,[status(thm)],[f438,f442,f492,f502,f504,f512,f520,f536,f538,f542,f554,f567])).
% 0.28/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.58 % Elapsed time: 0.024450 seconds
% 0.28/0.58 % CPU time: 0.054801 seconds
% 0.28/0.58 % Memory used: 18.184 MB
%------------------------------------------------------------------------------