TSTP Solution File: SWC059+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC059+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Tue Apr 30 20:44:21 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 Apr 30 00:26:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f15,axiom,(
% 0.13/0.35 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f17,axiom,(
% 0.13/0.35 ssList(nil) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f55,axiom,(
% 0.13/0.35 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f96,conjecture,(
% 0.13/0.35 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) ) ) ) )) )) )) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f97,negated_conjecture,(
% 0.13/0.35 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) ) ) ) )) )) )) ))),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.35 fof(f217,plain,(
% 0.13/0.35 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.13/0.35 fof(f218,plain,(
% 0.13/0.35 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f217])).
% 0.13/0.35 fof(f219,plain,(
% 0.13/0.35 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f218])).
% 0.13/0.35 fof(f223,plain,(
% 0.13/0.35 ssList(nil)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.35 fof(f318,plain,(
% 0.13/0.35 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.13/0.35 fof(f319,plain,(
% 0.13/0.35 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f318])).
% 0.13/0.35 fof(f415,plain,(
% 0.13/0.35 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=W|~nil=X))&(~neq(X,nil)|(neq(W,nil)&segmentP(X,W))))&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))))))))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.35 fof(f416,plain,(
% 0.13/0.35 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.13/0.35 introduced(predicate_definition,[f415])).
% 0.13/0.35 fof(f417,plain,(
% 0.13/0.35 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=W|~nil=X))&(~neq(X,nil)|(neq(W,nil)&segmentP(X,W))))&(pd0_0(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y)))))))))))))),
% 0.13/0.35 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.13/0.35 fof(f418,plain,(
% 0.13/0.35 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(nil=sk0_49|~nil=sk0_50))&(~neq(sk0_50,nil)|(neq(sk0_49,nil)&segmentP(sk0_50,sk0_49))))&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))))))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f417])).
% 0.13/0.35 fof(f419,plain,(
% 0.13/0.35 ssList(sk0_47)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f423,plain,(
% 0.13/0.35 sk0_48=sk0_50),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f424,plain,(
% 0.13/0.35 sk0_47=sk0_49),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f425,plain,(
% 0.13/0.35 nil=sk0_49|~nil=sk0_50),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f426,plain,(
% 0.13/0.35 ~neq(sk0_50,nil)|neq(sk0_49,nil)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f427,plain,(
% 0.13/0.35 ~neq(sk0_50,nil)|segmentP(sk0_50,sk0_49)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f428,plain,(
% 0.13/0.35 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f429,plain,(
% 0.13/0.35 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f418])).
% 0.13/0.35 fof(f430,plain,(
% 0.13/0.35 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.13/0.35 fof(f431,plain,(
% 0.13/0.35 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f430])).
% 0.13/0.35 fof(f432,plain,(
% 0.13/0.35 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f430])).
% 0.13/0.35 fof(f433,plain,(
% 0.13/0.35 spl0_0 <=> nil=sk0_49),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f434,plain,(
% 0.13/0.35 nil=sk0_49|~spl0_0),
% 0.13/0.35 inference(component_clause,[status(thm)],[f433])).
% 0.13/0.35 fof(f436,plain,(
% 0.13/0.35 spl0_1 <=> nil=sk0_50),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f438,plain,(
% 0.13/0.35 ~nil=sk0_50|spl0_1),
% 0.13/0.35 inference(component_clause,[status(thm)],[f436])).
% 0.13/0.35 fof(f439,plain,(
% 0.13/0.35 spl0_0|~spl0_1),
% 0.13/0.35 inference(split_clause,[status(thm)],[f425,f433,f436])).
% 0.13/0.35 fof(f440,plain,(
% 0.13/0.35 spl0_2 <=> neq(sk0_50,nil)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f442,plain,(
% 0.13/0.35 ~neq(sk0_50,nil)|spl0_2),
% 0.13/0.35 inference(component_clause,[status(thm)],[f440])).
% 0.13/0.35 fof(f443,plain,(
% 0.13/0.35 spl0_3 <=> neq(sk0_49,nil)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f444,plain,(
% 0.13/0.35 neq(sk0_49,nil)|~spl0_3),
% 0.13/0.35 inference(component_clause,[status(thm)],[f443])).
% 0.13/0.35 fof(f446,plain,(
% 0.13/0.35 ~spl0_2|spl0_3),
% 0.13/0.35 inference(split_clause,[status(thm)],[f426,f440,f443])).
% 0.13/0.35 fof(f447,plain,(
% 0.13/0.35 spl0_4 <=> segmentP(sk0_50,sk0_49)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f448,plain,(
% 0.13/0.35 segmentP(sk0_50,sk0_49)|~spl0_4),
% 0.13/0.35 inference(component_clause,[status(thm)],[f447])).
% 0.13/0.35 fof(f450,plain,(
% 0.13/0.35 ~spl0_2|spl0_4),
% 0.13/0.35 inference(split_clause,[status(thm)],[f427,f440,f447])).
% 0.13/0.35 fof(f451,plain,(
% 0.13/0.35 spl0_5 <=> pd0_0(sk0_48,sk0_47)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f452,plain,(
% 0.13/0.35 pd0_0(sk0_48,sk0_47)|~spl0_5),
% 0.13/0.35 inference(component_clause,[status(thm)],[f451])).
% 0.13/0.35 fof(f454,plain,(
% 0.13/0.35 spl0_6 <=> neq(sk0_48,nil)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f455,plain,(
% 0.13/0.35 neq(sk0_48,nil)|~spl0_6),
% 0.13/0.35 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.35 fof(f457,plain,(
% 0.13/0.35 spl0_5|spl0_6),
% 0.13/0.35 inference(split_clause,[status(thm)],[f428,f451,f454])).
% 0.13/0.35 fof(f458,plain,(
% 0.13/0.35 spl0_7 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f459,plain,(
% 0.13/0.35 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_7)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f458])).
% 0.13/0.35 fof(f461,plain,(
% 0.13/0.35 spl0_5|spl0_7),
% 0.13/0.35 inference(split_clause,[status(thm)],[f429,f451,f458])).
% 0.13/0.35 fof(f477,plain,(
% 0.13/0.35 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.13/0.35 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.13/0.35 fof(f478,plain,(
% 0.13/0.35 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.13/0.35 inference(duplicate_literals_removal,[status(esa)],[f477])).
% 0.13/0.35 fof(f492,plain,(
% 0.13/0.35 ![X0]: (~pd0_0(X0,nil))),
% 0.13/0.35 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.13/0.35 fof(f505,plain,(
% 0.13/0.35 ~nil=sk0_48|spl0_1),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f423,f438])).
% 0.13/0.35 fof(f506,plain,(
% 0.13/0.35 ~neq(sk0_48,nil)|spl0_2),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f423,f442])).
% 0.13/0.35 fof(f507,plain,(
% 0.13/0.35 nil=sk0_48|~spl0_5),
% 0.13/0.35 inference(resolution,[status(thm)],[f452,f431])).
% 0.13/0.35 fof(f508,plain,(
% 0.13/0.35 $false|spl0_1|~spl0_5),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f507,f505])).
% 0.13/0.35 fof(f509,plain,(
% 0.13/0.35 spl0_1|~spl0_5),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f508])).
% 0.13/0.35 fof(f510,plain,(
% 0.13/0.35 $false|spl0_2|~spl0_6),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f455,f506])).
% 0.13/0.35 fof(f511,plain,(
% 0.13/0.35 spl0_2|~spl0_6),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f510])).
% 0.13/0.35 fof(f512,plain,(
% 0.13/0.35 nil=sk0_47|~spl0_0),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f424,f434])).
% 0.13/0.35 fof(f513,plain,(
% 0.13/0.35 neq(sk0_47,nil)|~spl0_3),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f424,f444])).
% 0.13/0.35 fof(f514,plain,(
% 0.13/0.35 segmentP(sk0_48,sk0_49)|~spl0_4),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f423,f448])).
% 0.13/0.35 fof(f515,plain,(
% 0.13/0.35 segmentP(sk0_48,sk0_47)|~spl0_4),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f424,f514])).
% 0.13/0.35 fof(f528,plain,(
% 0.13/0.35 neq(nil,nil)|~spl0_0|~spl0_3),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f512,f513])).
% 0.13/0.35 fof(f529,plain,(
% 0.13/0.35 ~ssList(nil)|~spl0_0|~spl0_3),
% 0.13/0.35 inference(resolution,[status(thm)],[f528,f478])).
% 0.13/0.35 fof(f530,plain,(
% 0.13/0.36 $false|~spl0_0|~spl0_3),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f529,f223])).
% 0.13/0.36 fof(f531,plain,(
% 0.13/0.36 ~spl0_0|~spl0_3),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f530])).
% 0.13/0.36 fof(f532,plain,(
% 0.13/0.36 spl0_8 <=> ssList(sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f534,plain,(
% 0.13/0.36 ~ssList(sk0_47)|spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f532])).
% 0.13/0.36 fof(f535,plain,(
% 0.13/0.36 spl0_9 <=> neq(sk0_47,nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f537,plain,(
% 0.13/0.36 ~neq(sk0_47,nil)|spl0_9),
% 0.13/0.36 inference(component_clause,[status(thm)],[f535])).
% 0.13/0.36 fof(f538,plain,(
% 0.13/0.36 spl0_10 <=> segmentP(sk0_47,sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f540,plain,(
% 0.13/0.36 ~segmentP(sk0_47,sk0_47)|spl0_10),
% 0.13/0.36 inference(component_clause,[status(thm)],[f538])).
% 0.13/0.36 fof(f541,plain,(
% 0.13/0.36 ~ssList(sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_47,sk0_47)|~spl0_7|~spl0_4),
% 0.13/0.36 inference(resolution,[status(thm)],[f459,f515])).
% 0.13/0.36 fof(f542,plain,(
% 0.13/0.36 ~spl0_8|~spl0_9|~spl0_10|~spl0_7|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f541,f532,f535,f538,f458,f447])).
% 0.13/0.36 fof(f544,plain,(
% 0.13/0.36 pd0_0(nil,sk0_47)|~spl0_5),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f507,f452])).
% 0.13/0.36 fof(f545,plain,(
% 0.13/0.36 pd0_0(nil,nil)|~spl0_0|~spl0_5),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f512,f544])).
% 0.13/0.36 fof(f546,plain,(
% 0.13/0.36 $false|~spl0_0|~spl0_5),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f545,f492])).
% 0.13/0.36 fof(f547,plain,(
% 0.13/0.36 ~spl0_0|~spl0_5),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f546])).
% 0.13/0.36 fof(f554,plain,(
% 0.13/0.36 segmentP(sk0_47,sk0_47)),
% 0.13/0.36 inference(resolution,[status(thm)],[f419,f319])).
% 0.13/0.36 fof(f555,plain,(
% 0.13/0.36 $false|spl0_10),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f554,f540])).
% 0.13/0.36 fof(f556,plain,(
% 0.13/0.36 spl0_10),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f555])).
% 0.13/0.36 fof(f557,plain,(
% 0.13/0.36 $false|spl0_8),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f534,f419])).
% 0.13/0.36 fof(f558,plain,(
% 0.13/0.36 spl0_8),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f557])).
% 0.13/0.36 fof(f559,plain,(
% 0.13/0.36 $false|~spl0_3|spl0_9),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f537,f513])).
% 0.13/0.36 fof(f560,plain,(
% 0.13/0.36 ~spl0_3|spl0_9),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f559])).
% 0.13/0.36 fof(f561,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f439,f446,f450,f457,f461,f509,f511,f531,f542,f547,f556,f558,f560])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.026432 seconds
% 0.13/0.37 % CPU time: 0.040631 seconds
% 0.13/0.37 % Total memory used: 14.615 MB
% 0.13/0.37 % Net memory used: 14.585 MB
%------------------------------------------------------------------------------