TSTP Solution File: SWC013+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:38:52 EDT 2023
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n017.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:50:55 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f15,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f16,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f17,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f22,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f96,conjecture,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& W != Y& (? [Z] :( ssItem(Z)& cons(Z,nil) = Y& hd(X) = Z& neq(nil,X) ) )))| (? [X1] :( ssList(X1)& U = X1& (? [X2] :( ssItem(X2)& cons(X2,nil) = X1& hd(V) = X2& neq(nil,V) ) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f97,negated_conjecture,(
% 0.15/0.33 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& W != Y& (? [Z] :( ssItem(Z)& cons(Z,nil) = Y& hd(X) = Z& neq(nil,X) ) )))| (? [X1] :( ssList(X1)& U = X1& (? [X2] :( ssItem(X2)& cons(X2,nil) = X1& hd(V) = X2& neq(nil,V) ) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.33 fof(f217,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.33 fof(f218,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.33 fof(f219,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f220,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f221,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.15/0.33 fof(f222,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f221])).
% 0.15/0.33 fof(f223,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.33 fof(f236,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.15/0.33 fof(f237,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f236])).
% 0.15/0.33 fof(f415,plain,(
% 0.15/0.33 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: ((~ssList(Y)|W=Y)|(![Z]: (((~ssItem(Z)|~cons(Z,nil)=Y)|~hd(X)=Z)|~neq(nil,X))))))&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (((~ssItem(X2)|~cons(X2,nil)=X1)|~hd(V)=X2)|~neq(nil,V))))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.33 fof(f416,plain,(
% 0.15/0.33 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: ((~ssList(Y)|W=Y)|(![Z]: (((~ssItem(Z)|~cons(Z,nil)=Y)|~hd(X)=Z)|~neq(nil,X))))))&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (((~ssItem(X2)|~cons(X2,nil)=X1)|~hd(V)=X2)|~neq(nil,V)))))))),
% 0.15/0.33 introduced(predicate_definition,[f415])).
% 0.15/0.33 fof(f417,plain,(
% 0.15/0.33 ?[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)))))))))))),
% 0.15/0.33 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/0.33 fof(f418,plain,(
% 0.15/0.33 (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))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f417])).
% 0.15/0.33 fof(f419,plain,(
% 0.15/0.33 ssList(sk0_47)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f420,plain,(
% 0.15/0.33 ssList(sk0_48)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f423,plain,(
% 0.15/0.33 sk0_48=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f424,plain,(
% 0.15/0.33 sk0_47=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f425,plain,(
% 0.15/0.33 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f426,plain,(
% 0.15/0.33 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.15/0.33 fof(f427,plain,(
% 0.15/0.33 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|W=Y)|(![Z]: (((~ssItem(Z)|~cons(Z,nil)=Y)|~hd(X)=Z)|~neq(nil,X))))))&(![X1]: ((~ssList(X1)|~U=X1)|(![X2]: (((~ssItem(X2)|~cons(X2,nil)=X1)|~hd(V)=X2)|~neq(nil,V)))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f428,plain,(
% 0.15/0.33 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|W=Y)|((![Z]: ((~ssItem(Z)|~cons(Z,nil)=Y)|~hd(X)=Z))|~neq(nil,X)))))&(![X1]: ((~ssList(X1)|~U=X1)|((![X2]: ((~ssItem(X2)|~cons(X2,nil)=X1)|~hd(V)=X2))|~neq(nil,V))))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f427])).
% 0.15/0.33 fof(f429,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f428])).
% 0.15/0.33 fof(f430,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|X1=X4|~ssItem(X5)|~cons(X5,nil)=X4|~hd(X0)=X5|~neq(nil,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f428])).
% 0.15/0.33 fof(f431,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|~X3=X4|~ssItem(X5)|~cons(X5,nil)=X4|~hd(X2)=X5|~neq(nil,X2))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f428])).
% 0.15/0.33 fof(f432,plain,(
% 0.15/0.33 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f433,plain,(
% 0.15/0.33 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f432])).
% 0.15/0.33 fof(f435,plain,(
% 0.15/0.33 spl0_1 <=> neq(sk0_48,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f436,plain,(
% 0.15/0.33 neq(sk0_48,nil)|~spl0_1),
% 0.15/0.33 inference(component_clause,[status(thm)],[f435])).
% 0.15/0.33 fof(f438,plain,(
% 0.15/0.33 spl0_0|spl0_1),
% 0.15/0.33 inference(split_clause,[status(thm)],[f425,f432,f435])).
% 0.15/0.33 fof(f439,plain,(
% 0.15/0.33 spl0_2 <=> neq(sk0_50,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f441,plain,(
% 0.15/0.33 ~neq(sk0_50,nil)|spl0_2),
% 0.15/0.33 inference(component_clause,[status(thm)],[f439])).
% 0.15/0.33 fof(f442,plain,(
% 0.15/0.33 spl0_0|~spl0_2),
% 0.15/0.33 inference(split_clause,[status(thm)],[f426,f432,f439])).
% 0.15/0.33 fof(f458,plain,(
% 0.15/0.33 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.15/0.33 fof(f459,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 0.15/0.33 fof(f473,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~ssList(cons(hd(X0),nil))|X1=cons(hd(X0),nil)|~ssItem(hd(X0))|~neq(nil,X0))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.15/0.33 fof(f474,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~pd0_0(X0,X1,X2,cons(hd(X2),nil))|~ssList(cons(hd(X2),nil))|~ssItem(hd(X2))|~neq(nil,X2))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f431])).
% 0.15/0.33 fof(f511,plain,(
% 0.15/0.33 ~neq(sk0_48,nil)|spl0_2),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f423,f441])).
% 0.15/0.33 fof(f512,plain,(
% 0.15/0.33 spl0_7 <=> ssList(sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f514,plain,(
% 0.15/0.33 ~ssList(sk0_48)|spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f512])).
% 0.15/0.33 fof(f515,plain,(
% 0.15/0.33 spl0_8 <=> ssList(nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f517,plain,(
% 0.15/0.33 ~ssList(nil)|spl0_8),
% 0.15/0.33 inference(component_clause,[status(thm)],[f515])).
% 0.15/0.33 fof(f518,plain,(
% 0.15/0.33 spl0_9 <=> sk0_48=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f519,plain,(
% 0.15/0.33 sk0_48=nil|~spl0_9),
% 0.15/0.33 inference(component_clause,[status(thm)],[f518])).
% 0.15/0.33 fof(f521,plain,(
% 0.15/0.33 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_2),
% 0.15/0.33 inference(resolution,[status(thm)],[f511,f220])).
% 0.15/0.33 fof(f522,plain,(
% 0.15/0.33 ~spl0_7|~spl0_8|spl0_9|spl0_2),
% 0.15/0.33 inference(split_clause,[status(thm)],[f521,f512,f515,f518,f439])).
% 0.15/0.33 fof(f523,plain,(
% 0.15/0.33 $false|spl0_8),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f517,f223])).
% 0.15/0.33 fof(f524,plain,(
% 0.15/0.33 spl0_8),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f523])).
% 0.15/0.33 fof(f525,plain,(
% 0.15/0.33 $false|spl0_7),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f514,f420])).
% 0.15/0.33 fof(f526,plain,(
% 0.15/0.33 spl0_7),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f525])).
% 0.15/0.33 fof(f527,plain,(
% 0.15/0.33 nil=sk0_50|~spl0_9),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f519,f423])).
% 0.15/0.33 fof(f529,plain,(
% 0.15/0.33 pd0_0(nil,sk0_49,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f527,f433])).
% 0.15/0.33 fof(f530,plain,(
% 0.15/0.33 pd0_0(nil,sk0_47,sk0_48,sk0_47)|~spl0_9|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f424,f529])).
% 0.15/0.33 fof(f531,plain,(
% 0.15/0.33 pd0_0(nil,sk0_47,nil,sk0_47)|~spl0_9|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f519,f530])).
% 0.15/0.33 fof(f532,plain,(
% 0.15/0.33 neq(nil,nil)|~spl0_9|~spl0_0),
% 0.15/0.33 inference(resolution,[status(thm)],[f531,f429])).
% 0.15/0.33 fof(f533,plain,(
% 0.15/0.33 ~ssList(nil)|~spl0_9|~spl0_0),
% 0.15/0.33 inference(resolution,[status(thm)],[f532,f459])).
% 0.15/0.33 fof(f534,plain,(
% 0.15/0.33 ~spl0_8|~spl0_9|~spl0_0),
% 0.15/0.33 inference(split_clause,[status(thm)],[f533,f515,f518,f432])).
% 0.15/0.33 fof(f535,plain,(
% 0.15/0.33 neq(nil,nil)|~spl0_9|~spl0_1),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f519,f436])).
% 0.15/0.33 fof(f540,plain,(
% 0.15/0.33 ~ssList(nil)|~spl0_9|~spl0_1),
% 0.15/0.33 inference(resolution,[status(thm)],[f535,f459])).
% 0.15/0.33 fof(f541,plain,(
% 0.15/0.33 ~spl0_8|~spl0_9|~spl0_1),
% 0.15/0.33 inference(split_clause,[status(thm)],[f540,f515,f518,f435])).
% 0.15/0.33 fof(f542,plain,(
% 0.15/0.33 pd0_0(sk0_50,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f424,f433])).
% 0.15/0.33 fof(f544,plain,(
% 0.15/0.33 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f423,f542])).
% 0.15/0.33 fof(f546,plain,(
% 0.15/0.33 spl0_10 <=> ~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssItem(hd(X0))|~neq(nil,X0)|~ssItem(hd(X0))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f547,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssItem(hd(X0))|~neq(nil,X0)|~ssItem(hd(X0))|~spl0_10)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f546])).
% 0.15/0.33 fof(f549,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssItem(hd(X0))|~neq(nil,X0)|~ssList(nil)|~ssItem(hd(X0)))),
% 0.15/0.33 inference(resolution,[status(thm)],[f473,f222])).
% 0.15/0.33 fof(f550,plain,(
% 0.15/0.33 spl0_10|~spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f549,f546,f515])).
% 0.15/0.33 fof(f551,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssItem(hd(X0))|~neq(nil,X0)|~spl0_10)),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f547])).
% 0.15/0.33 fof(f552,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~neq(nil,X0)|~ssList(X0)|nil=X0|~spl0_10)),
% 0.15/0.33 inference(resolution,[status(thm)],[f551,f237])).
% 0.15/0.33 fof(f553,plain,(
% 0.15/0.33 spl0_11 <=> ~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssList(X0)|nil=X0|~ssList(X0)|nil=X0),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f554,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssList(X0)|nil=X0|~ssList(X0)|nil=X0|~spl0_11)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f553])).
% 0.15/0.33 fof(f556,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssList(X0)|nil=X0|~ssList(nil)|~ssList(X0)|nil=X0|~spl0_10)),
% 0.15/0.33 inference(resolution,[status(thm)],[f552,f220])).
% 0.15/0.33 fof(f557,plain,(
% 0.15/0.33 spl0_11|~spl0_8|~spl0_10),
% 0.15/0.33 inference(split_clause,[status(thm)],[f556,f553,f515,f546])).
% 0.15/0.33 fof(f558,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|X1=cons(hd(X0),nil)|~ssList(X0)|nil=X0|~spl0_11)),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f554])).
% 0.15/0.33 fof(f559,plain,(
% 0.15/0.33 spl0_12 <=> sk0_47=cons(hd(sk0_48),nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f560,plain,(
% 0.15/0.33 sk0_47=cons(hd(sk0_48),nil)|~spl0_12),
% 0.15/0.33 inference(component_clause,[status(thm)],[f559])).
% 0.15/0.33 fof(f562,plain,(
% 0.15/0.33 sk0_47=cons(hd(sk0_48),nil)|~ssList(sk0_48)|nil=sk0_48|~spl0_11|~spl0_0),
% 0.15/0.33 inference(resolution,[status(thm)],[f558,f544])).
% 0.15/0.33 fof(f563,plain,(
% 0.15/0.33 spl0_12|~spl0_7|spl0_9|~spl0_11|~spl0_0),
% 0.15/0.33 inference(split_clause,[status(thm)],[f562,f559,f512,f518,f553,f432])).
% 0.15/0.33 fof(f564,plain,(
% 0.15/0.33 spl0_13 <=> ~pd0_0(X0,X1,sk0_48,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f565,plain,(
% 0.15/0.33 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_13)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f564])).
% 0.15/0.33 fof(f567,plain,(
% 0.15/0.33 spl0_14 <=> ssList(cons(hd(sk0_48),nil))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f569,plain,(
% 0.15/0.33 ~ssList(cons(hd(sk0_48),nil))|spl0_14),
% 0.15/0.33 inference(component_clause,[status(thm)],[f567])).
% 0.15/0.33 fof(f570,plain,(
% 0.15/0.33 spl0_15 <=> ssItem(hd(sk0_48))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f572,plain,(
% 0.15/0.33 ~ssItem(hd(sk0_48))|spl0_15),
% 0.15/0.33 inference(component_clause,[status(thm)],[f570])).
% 0.15/0.33 fof(f573,plain,(
% 0.15/0.33 spl0_16 <=> neq(nil,sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f575,plain,(
% 0.15/0.33 ~neq(nil,sk0_48)|spl0_16),
% 0.15/0.33 inference(component_clause,[status(thm)],[f573])).
% 0.15/0.33 fof(f576,plain,(
% 0.15/0.33 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~ssList(cons(hd(sk0_48),nil))|~ssItem(hd(sk0_48))|~neq(nil,sk0_48)|~spl0_12)),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f560,f474])).
% 0.15/0.33 fof(f577,plain,(
% 0.15/0.33 spl0_13|~spl0_14|~spl0_15|~spl0_16|~spl0_12),
% 0.15/0.33 inference(split_clause,[status(thm)],[f576,f564,f567,f570,f573,f559])).
% 0.15/0.33 fof(f583,plain,(
% 0.15/0.33 ~ssList(sk0_48)|nil=sk0_48|spl0_15),
% 0.15/0.33 inference(resolution,[status(thm)],[f572,f237])).
% 0.15/0.33 fof(f584,plain,(
% 0.15/0.33 ~spl0_7|spl0_9|spl0_15),
% 0.15/0.33 inference(split_clause,[status(thm)],[f583,f512,f518,f570])).
% 0.15/0.33 fof(f585,plain,(
% 0.15/0.33 ~ssList(nil)|~ssList(sk0_48)|nil=sk0_48|spl0_16),
% 0.15/0.33 inference(resolution,[status(thm)],[f575,f220])).
% 0.15/0.33 fof(f586,plain,(
% 0.15/0.33 ~spl0_8|~spl0_7|spl0_9|spl0_16),
% 0.15/0.33 inference(split_clause,[status(thm)],[f585,f515,f512,f518,f573])).
% 0.15/0.33 fof(f587,plain,(
% 0.15/0.33 ~ssList(sk0_47)|~spl0_12|spl0_14),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f560,f569])).
% 0.15/0.33 fof(f588,plain,(
% 0.15/0.33 $false|~spl0_12|spl0_14),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f587,f419])).
% 0.15/0.33 fof(f589,plain,(
% 0.15/0.33 ~spl0_12|spl0_14),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f588])).
% 0.15/0.33 fof(f603,plain,(
% 0.15/0.33 $false|~spl0_13|~spl0_0),
% 0.15/0.33 inference(backward_subsumption_resolution,[status(thm)],[f544,f565])).
% 0.15/0.33 fof(f604,plain,(
% 0.15/0.33 ~spl0_13|~spl0_0),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f603])).
% 0.15/0.33 fof(f605,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f438,f442,f522,f524,f526,f534,f541,f550,f557,f563,f577,f584,f586,f589,f604])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.021282 seconds
% 0.15/0.55 % CPU time: 0.021068 seconds
% 0.15/0.55 % Memory used: 4.136 MB
%------------------------------------------------------------------------------