TSTP Solution File: SWC387+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC387+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:40:17 EDT 2023
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC387+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:46:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f15,axiom,(
% 0.14/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f17,axiom,(
% 0.14/0.36 ssList(nil) ),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f19,axiom,(
% 0.14/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f96,conjecture,(
% 0.14/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& cons(Y,nil) = U& memberP(V,Y) ))| ( nil != W& nil = X )| ( nil = V& nil = U )| ( (! [Z] :( ssItem(Z)=> ( cons(Z,nil) != W| ~ memberP(X,Z) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f97,negated_conjecture,(
% 0.14/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& cons(Y,nil) = U& memberP(V,Y) ))| ( nil != W& nil = X )| ( nil = V& nil = U )| ( (! [Z] :( ssItem(Z)=> ( cons(Z,nil) != W| ~ memberP(X,Z) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.14/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.36 fof(f217,plain,(
% 0.14/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.36 fof(f218,plain,(
% 0.14/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f217])).
% 0.14/0.36 fof(f220,plain,(
% 0.14/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.36 fof(f223,plain,(
% 0.14/0.36 ssList(nil)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.36 fof(f226,plain,(
% 0.14/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.36 fof(f227,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f226])).
% 0.14/0.36 fof(f415,plain,(
% 0.14/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&(![Y]: ((~ssItem(Y)|~cons(Y,nil)=U)|~memberP(V,Y))))&(nil=W|~nil=X))&(~nil=V|~nil=U))&((?[Z]: (ssItem(Z)&(cons(Z,nil)=W&memberP(X,Z))))|~neq(X,nil)))))))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.36 fof(f416,plain,(
% 0.14/0.36 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((((sk0_48=sk0_50&sk0_47=sk0_49)&(![Y]: ((~ssItem(Y)|~cons(Y,nil)=sk0_47)|~memberP(sk0_48,Y))))&(nil=sk0_49|~nil=sk0_50))&(~nil=sk0_48|~nil=sk0_47))&((ssItem(sk0_51)&(cons(sk0_51,nil)=sk0_49&memberP(sk0_50,sk0_51)))|~neq(sk0_50,nil)))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f415])).
% 0.14/0.36 fof(f418,plain,(
% 0.14/0.36 ssList(sk0_48)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f421,plain,(
% 0.14/0.36 sk0_48=sk0_50),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f422,plain,(
% 0.14/0.36 sk0_47=sk0_49),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f423,plain,(
% 0.14/0.36 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk0_47|~memberP(sk0_48,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f424,plain,(
% 0.14/0.36 nil=sk0_49|~nil=sk0_50),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f425,plain,(
% 0.14/0.36 ~nil=sk0_48|~nil=sk0_47),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f426,plain,(
% 0.14/0.36 ssItem(sk0_51)|~neq(sk0_50,nil)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f427,plain,(
% 0.14/0.36 cons(sk0_51,nil)=sk0_49|~neq(sk0_50,nil)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f428,plain,(
% 0.14/0.36 memberP(sk0_50,sk0_51)|~neq(sk0_50,nil)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f429,plain,(
% 0.14/0.36 spl0_0 <=> nil=sk0_49),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f430,plain,(
% 0.14/0.36 nil=sk0_49|~spl0_0),
% 0.14/0.36 inference(component_clause,[status(thm)],[f429])).
% 0.14/0.36 fof(f432,plain,(
% 0.14/0.36 spl0_1 <=> nil=sk0_50),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f434,plain,(
% 0.14/0.36 ~nil=sk0_50|spl0_1),
% 0.14/0.36 inference(component_clause,[status(thm)],[f432])).
% 0.14/0.36 fof(f435,plain,(
% 0.14/0.36 spl0_0|~spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f424,f429,f432])).
% 0.14/0.36 fof(f436,plain,(
% 0.14/0.36 spl0_2 <=> nil=sk0_48),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f437,plain,(
% 0.14/0.36 nil=sk0_48|~spl0_2),
% 0.14/0.36 inference(component_clause,[status(thm)],[f436])).
% 0.14/0.36 fof(f439,plain,(
% 0.14/0.36 spl0_3 <=> nil=sk0_47),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f441,plain,(
% 0.14/0.36 ~nil=sk0_47|spl0_3),
% 0.14/0.36 inference(component_clause,[status(thm)],[f439])).
% 0.14/0.36 fof(f442,plain,(
% 0.14/0.36 ~spl0_2|~spl0_3),
% 0.14/0.36 inference(split_clause,[status(thm)],[f425,f436,f439])).
% 0.14/0.36 fof(f443,plain,(
% 0.14/0.36 spl0_4 <=> ssItem(sk0_51)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f446,plain,(
% 0.14/0.36 spl0_5 <=> neq(sk0_50,nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f448,plain,(
% 0.14/0.36 ~neq(sk0_50,nil)|spl0_5),
% 0.14/0.36 inference(component_clause,[status(thm)],[f446])).
% 0.14/0.36 fof(f449,plain,(
% 0.14/0.36 spl0_4|~spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f426,f443,f446])).
% 0.14/0.36 fof(f450,plain,(
% 0.14/0.36 spl0_6 <=> cons(sk0_51,nil)=sk0_49),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f451,plain,(
% 0.14/0.36 cons(sk0_51,nil)=sk0_49|~spl0_6),
% 0.14/0.36 inference(component_clause,[status(thm)],[f450])).
% 0.14/0.36 fof(f453,plain,(
% 0.14/0.36 spl0_6|~spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f427,f450,f446])).
% 0.14/0.36 fof(f454,plain,(
% 0.14/0.36 spl0_7 <=> memberP(sk0_50,sk0_51)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f455,plain,(
% 0.14/0.36 memberP(sk0_50,sk0_51)|~spl0_7),
% 0.14/0.36 inference(component_clause,[status(thm)],[f454])).
% 0.14/0.36 fof(f457,plain,(
% 0.14/0.36 spl0_7|~spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f428,f454,f446])).
% 0.14/0.36 fof(f490,plain,(
% 0.14/0.36 spl0_8 <=> ~ssList(X0)|~ssList(X0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f491,plain,(
% 0.14/0.36 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_8)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f490])).
% 0.14/0.36 fof(f493,plain,(
% 0.14/0.36 spl0_9 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f496,plain,(
% 0.14/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.14/0.36 inference(equality_resolution,[status(esa)],[f227])).
% 0.14/0.36 fof(f497,plain,(
% 0.14/0.36 spl0_8|spl0_9),
% 0.14/0.36 inference(split_clause,[status(thm)],[f496,f490,f493])).
% 0.14/0.36 fof(f498,plain,(
% 0.14/0.36 ![X0]: (~ssList(X0)|~spl0_8)),
% 0.14/0.36 inference(duplicate_literals_removal,[status(esa)],[f491])).
% 0.14/0.36 fof(f499,plain,(
% 0.14/0.36 ~neq(sk0_48,nil)|spl0_5),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f421,f448])).
% 0.14/0.36 fof(f500,plain,(
% 0.14/0.36 spl0_10 <=> ssList(sk0_48)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f502,plain,(
% 0.14/0.36 ~ssList(sk0_48)|spl0_10),
% 0.14/0.36 inference(component_clause,[status(thm)],[f500])).
% 0.14/0.36 fof(f503,plain,(
% 0.14/0.36 spl0_11 <=> ssList(nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f505,plain,(
% 0.14/0.36 ~ssList(nil)|spl0_11),
% 0.14/0.36 inference(component_clause,[status(thm)],[f503])).
% 0.14/0.36 fof(f506,plain,(
% 0.14/0.36 ~ssList(sk0_48)|~ssList(nil)|sk0_48=nil|spl0_5),
% 0.14/0.36 inference(resolution,[status(thm)],[f499,f220])).
% 0.14/0.36 fof(f507,plain,(
% 0.14/0.36 ~spl0_10|~spl0_11|spl0_2|spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f506,f500,f503,f436,f446])).
% 0.14/0.36 fof(f516,plain,(
% 0.14/0.36 $false|spl0_11),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f505,f223])).
% 0.14/0.36 fof(f517,plain,(
% 0.14/0.36 spl0_11),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f516])).
% 0.14/0.36 fof(f518,plain,(
% 0.14/0.36 ~nil=sk0_48|spl0_1),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f421,f434])).
% 0.14/0.36 fof(f519,plain,(
% 0.14/0.36 $false|spl0_10),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f502,f418])).
% 0.14/0.36 fof(f520,plain,(
% 0.14/0.36 spl0_10),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f519])).
% 0.14/0.36 fof(f521,plain,(
% 0.14/0.36 cons(sk0_51,nil)=sk0_47|~spl0_6),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f422,f451])).
% 0.14/0.36 fof(f522,plain,(
% 0.14/0.36 memberP(sk0_48,sk0_51)|~spl0_7),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f421,f455])).
% 0.14/0.36 fof(f524,plain,(
% 0.14/0.36 $false|~spl0_8),
% 0.14/0.36 inference(backward_subsumption_resolution,[status(thm)],[f223,f498])).
% 0.14/0.36 fof(f525,plain,(
% 0.14/0.36 ~spl0_8),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f524])).
% 0.14/0.36 fof(f526,plain,(
% 0.14/0.36 spl0_14 <=> memberP(sk0_48,sk0_51)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f528,plain,(
% 0.14/0.36 ~memberP(sk0_48,sk0_51)|spl0_14),
% 0.32/0.59 inference(component_clause,[status(thm)],[f526])).
% 0.32/0.59 fof(f529,plain,(
% 0.32/0.59 ~ssItem(sk0_51)|~memberP(sk0_48,sk0_51)|~spl0_6),
% 0.32/0.59 inference(resolution,[status(thm)],[f423,f521])).
% 0.32/0.59 fof(f530,plain,(
% 0.32/0.59 ~spl0_4|~spl0_14|~spl0_6),
% 0.32/0.59 inference(split_clause,[status(thm)],[f529,f443,f526,f450])).
% 0.32/0.59 fof(f536,plain,(
% 0.32/0.59 $false|~spl0_7|spl0_14),
% 0.32/0.59 inference(forward_subsumption_resolution,[status(thm)],[f528,f522])).
% 0.32/0.59 fof(f537,plain,(
% 0.32/0.59 ~spl0_7|spl0_14),
% 0.32/0.59 inference(contradiction_clause,[status(thm)],[f536])).
% 0.32/0.59 fof(f538,plain,(
% 0.32/0.59 nil=sk0_47|~spl0_0),
% 0.32/0.59 inference(forward_demodulation,[status(thm)],[f422,f430])).
% 0.32/0.59 fof(f539,plain,(
% 0.32/0.59 $false|spl0_3|~spl0_0),
% 0.32/0.59 inference(forward_subsumption_resolution,[status(thm)],[f538,f441])).
% 0.32/0.59 fof(f540,plain,(
% 0.32/0.59 spl0_3|~spl0_0),
% 0.32/0.59 inference(contradiction_clause,[status(thm)],[f539])).
% 0.32/0.59 fof(f541,plain,(
% 0.32/0.59 $false|spl0_1|~spl0_2),
% 0.32/0.59 inference(forward_subsumption_resolution,[status(thm)],[f437,f518])).
% 0.32/0.59 fof(f542,plain,(
% 0.32/0.59 spl0_1|~spl0_2),
% 0.32/0.59 inference(contradiction_clause,[status(thm)],[f541])).
% 0.32/0.59 fof(f543,plain,(
% 0.32/0.59 $false),
% 0.32/0.59 inference(sat_refutation,[status(thm)],[f435,f442,f449,f453,f457,f497,f507,f517,f520,f525,f530,f537,f540,f542])).
% 0.32/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/0.59 % Elapsed time: 0.026867 seconds
% 0.32/0.59 % CPU time: 0.049310 seconds
% 0.32/0.59 % Memory used: 16.156 MB
%------------------------------------------------------------------------------