TSTP Solution File: SWC085+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC085+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:44:28 EDT 2024
% Result : Theorem 2.99s 0.75s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC085+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 00:07:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.99/0.75 % Refutation found
% 2.99/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.99/0.75 % SZS output start CNFRefutation for theBenchmark
% 2.99/0.75 fof(f2,axiom,(
% 2.99/0.75 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f5,axiom,(
% 2.99/0.75 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f15,axiom,(
% 2.99/0.75 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f17,axiom,(
% 2.99/0.75 ssList(nil) ),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f28,axiom,(
% 2.99/0.75 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f45,axiom,(
% 2.99/0.75 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f55,axiom,(
% 2.99/0.75 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f56,axiom,(
% 2.99/0.75 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( segmentP(U,V)=> segmentP(app(app(W,U),X),V) ) ) )) )) )) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f96,conjecture,(
% 2.99/0.75 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 2.99/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.99/0.75 fof(f97,negated_conjecture,(
% 2.99/0.75 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 2.99/0.75 inference(negated_conjecture,[status(cth)],[f96])).
% 2.99/0.75 fof(f102,plain,(
% 2.99/0.75 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 2.99/0.75 inference(skolemization,[status(esa)],[f2])).
% 2.99/0.75 fof(f103,plain,(
% 2.99/0.75 ssItem(sk0_0)),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f102])).
% 2.99/0.75 fof(f104,plain,(
% 2.99/0.75 ssItem(sk0_1)),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f102])).
% 2.99/0.75 fof(f105,plain,(
% 2.99/0.75 ~sk0_0=sk0_1),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f102])).
% 2.99/0.75 fof(f119,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 2.99/0.75 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.99/0.75 fof(f120,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 2.99/0.75 inference(NNF_transformation,[status(esa)],[f119])).
% 2.99/0.75 fof(f121,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 2.99/0.75 inference(skolemization,[status(esa)],[f120])).
% 2.99/0.75 fof(f122,plain,(
% 2.99/0.75 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f121])).
% 2.99/0.75 fof(f123,plain,(
% 2.99/0.75 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f121])).
% 2.99/0.75 fof(f217,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 2.99/0.75 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.99/0.75 fof(f218,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 2.99/0.75 inference(NNF_transformation,[status(esa)],[f217])).
% 2.99/0.75 fof(f219,plain,(
% 2.99/0.75 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f218])).
% 2.99/0.75 fof(f223,plain,(
% 2.99/0.75 ssList(nil)),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f17])).
% 2.99/0.75 fof(f248,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|app(nil,U)=U)),
% 2.99/0.75 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 2.99/0.75 fof(f249,plain,(
% 2.99/0.75 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 2.99/0.75 inference(cnf_transformation,[status(esa)],[f248])).
% 2.99/0.75 fof(f294,plain,(
% 2.99/0.75 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 2.99/0.75 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 2.99/0.76 fof(f295,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f294])).
% 2.99/0.76 fof(f318,plain,(
% 2.99/0.76 ![U]: (~ssList(U)|segmentP(U,U))),
% 2.99/0.76 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 2.99/0.76 fof(f319,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f318])).
% 2.99/0.76 fof(f320,plain,(
% 2.99/0.76 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(~segmentP(U,V)|segmentP(app(app(W,U),X),V)))))))))),
% 2.99/0.76 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 2.99/0.76 fof(f321,plain,(
% 2.99/0.76 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X0,X1)|segmentP(app(app(X2,X0),X3),X1))),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f320])).
% 2.99/0.76 fof(f415,plain,(
% 2.99/0.76 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 2.99/0.76 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 2.99/0.76 fof(f416,plain,(
% 2.99/0.76 ![W,X]: (pd0_0(X,W)=>(nil=X&nil=W))),
% 2.99/0.76 introduced(predicate_definition,[f415])).
% 2.99/0.76 fof(f417,plain,(
% 2.99/0.76 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(pd0_0(X,W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 2.99/0.76 inference(formula_renaming,[status(thm)],[f415,f416])).
% 2.99/0.76 fof(f418,plain,(
% 2.99/0.76 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&neq(sk0_48,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))&(pd0_0(sk0_50,sk0_49)|(neq(sk0_49,nil)&frontsegP(sk0_50,sk0_49))))))))),
% 2.99/0.76 inference(skolemization,[status(esa)],[f417])).
% 2.99/0.76 fof(f419,plain,(
% 2.99/0.76 ssList(sk0_47)),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f420,plain,(
% 2.99/0.76 ssList(sk0_48)),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f423,plain,(
% 2.99/0.76 sk0_48=sk0_50),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f424,plain,(
% 2.99/0.76 sk0_47=sk0_49),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f425,plain,(
% 2.99/0.76 neq(sk0_48,nil)),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f426,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f427,plain,(
% 2.99/0.76 pd0_0(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f428,plain,(
% 2.99/0.76 pd0_0(sk0_50,sk0_49)|frontsegP(sk0_50,sk0_49)),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f418])).
% 2.99/0.76 fof(f429,plain,(
% 2.99/0.76 ![W,X]: (~pd0_0(X,W)|(nil=X&nil=W))),
% 2.99/0.76 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 2.99/0.76 fof(f430,plain,(
% 2.99/0.76 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 2.99/0.76 inference(cnf_transformation,[status(esa)],[f429])).
% 2.99/0.76 fof(f432,plain,(
% 2.99/0.76 spl0_0 <=> pd0_0(sk0_50,sk0_49)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f433,plain,(
% 2.99/0.76 pd0_0(sk0_50,sk0_49)|~spl0_0),
% 2.99/0.76 inference(component_clause,[status(thm)],[f432])).
% 2.99/0.76 fof(f435,plain,(
% 2.99/0.76 spl0_1 <=> neq(sk0_49,nil)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f436,plain,(
% 2.99/0.76 neq(sk0_49,nil)|~spl0_1),
% 2.99/0.76 inference(component_clause,[status(thm)],[f435])).
% 2.99/0.76 fof(f438,plain,(
% 2.99/0.76 spl0_0|spl0_1),
% 2.99/0.76 inference(split_clause,[status(thm)],[f427,f432,f435])).
% 2.99/0.76 fof(f439,plain,(
% 2.99/0.76 spl0_2 <=> frontsegP(sk0_50,sk0_49)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f440,plain,(
% 2.99/0.76 frontsegP(sk0_50,sk0_49)|~spl0_2),
% 2.99/0.76 inference(component_clause,[status(thm)],[f439])).
% 2.99/0.76 fof(f442,plain,(
% 2.99/0.76 spl0_0|spl0_2),
% 2.99/0.76 inference(split_clause,[status(thm)],[f428,f432,f439])).
% 2.99/0.76 fof(f458,plain,(
% 2.99/0.76 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 2.99/0.76 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 2.99/0.76 fof(f459,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 2.99/0.76 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 2.99/0.76 fof(f479,plain,(
% 2.99/0.76 pd0_0(sk0_48,sk0_49)|~spl0_0),
% 2.99/0.76 inference(forward_demodulation,[status(thm)],[f423,f433])).
% 2.99/0.76 fof(f480,plain,(
% 2.99/0.76 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 2.99/0.76 inference(forward_demodulation,[status(thm)],[f424,f479])).
% 2.99/0.76 fof(f482,plain,(
% 2.99/0.76 nil=sk0_48|~spl0_0),
% 2.99/0.76 inference(resolution,[status(thm)],[f480,f430])).
% 2.99/0.76 fof(f486,plain,(
% 2.99/0.76 neq(nil,nil)|~spl0_0),
% 2.99/0.76 inference(backward_demodulation,[status(thm)],[f482,f425])).
% 2.99/0.76 fof(f490,plain,(
% 2.99/0.76 ~ssList(nil)|~spl0_0),
% 2.99/0.76 inference(resolution,[status(thm)],[f486,f459])).
% 2.99/0.76 fof(f491,plain,(
% 2.99/0.76 $false|~spl0_0),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f490,f223])).
% 2.99/0.76 fof(f492,plain,(
% 2.99/0.76 ~spl0_0),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f491])).
% 2.99/0.76 fof(f494,plain,(
% 2.99/0.76 frontsegP(sk0_48,sk0_49)|~spl0_2),
% 2.99/0.76 inference(backward_demodulation,[status(thm)],[f423,f440])).
% 2.99/0.76 fof(f495,plain,(
% 2.99/0.76 frontsegP(sk0_48,sk0_47)|~spl0_2),
% 2.99/0.76 inference(backward_demodulation,[status(thm)],[f424,f494])).
% 2.99/0.76 fof(f497,plain,(
% 2.99/0.76 neq(sk0_47,nil)|~spl0_1),
% 2.99/0.76 inference(backward_demodulation,[status(thm)],[f424,f436])).
% 2.99/0.76 fof(f498,plain,(
% 2.99/0.76 spl0_3 <=> ssList(nil)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f500,plain,(
% 2.99/0.76 ~ssList(nil)|spl0_3),
% 2.99/0.76 inference(component_clause,[status(thm)],[f498])).
% 2.99/0.76 fof(f507,plain,(
% 2.99/0.76 spl0_6 <=> ssList(sk0_48)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f509,plain,(
% 2.99/0.76 ~ssList(sk0_48)|spl0_6),
% 2.99/0.76 inference(component_clause,[status(thm)],[f507])).
% 2.99/0.76 fof(f523,plain,(
% 2.99/0.76 spl0_10 <=> ssList(sk0_47)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f525,plain,(
% 2.99/0.76 ~ssList(sk0_47)|spl0_10),
% 2.99/0.76 inference(component_clause,[status(thm)],[f523])).
% 2.99/0.76 fof(f528,plain,(
% 2.99/0.76 spl0_11 <=> neq(sk0_47,nil)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f530,plain,(
% 2.99/0.76 ~neq(sk0_47,nil)|spl0_11),
% 2.99/0.76 inference(component_clause,[status(thm)],[f528])).
% 2.99/0.76 fof(f531,plain,(
% 2.99/0.76 spl0_12 <=> segmentP(sk0_48,sk0_47)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f534,plain,(
% 2.99/0.76 ~ssList(sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)|~ssList(sk0_47)),
% 2.99/0.76 inference(resolution,[status(thm)],[f426,f319])).
% 2.99/0.76 fof(f535,plain,(
% 2.99/0.76 ~spl0_10|~spl0_11|~spl0_12),
% 2.99/0.76 inference(split_clause,[status(thm)],[f534,f523,f528,f531])).
% 2.99/0.76 fof(f536,plain,(
% 2.99/0.76 $false|~spl0_1|spl0_11),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f530,f497])).
% 2.99/0.76 fof(f537,plain,(
% 2.99/0.76 ~spl0_1|spl0_11),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f536])).
% 2.99/0.76 fof(f543,plain,(
% 2.99/0.76 $false|spl0_10),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f525,f419])).
% 2.99/0.76 fof(f544,plain,(
% 2.99/0.76 spl0_10),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f543])).
% 2.99/0.76 fof(f545,plain,(
% 2.99/0.76 $false|spl0_3),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f500,f223])).
% 2.99/0.76 fof(f546,plain,(
% 2.99/0.76 spl0_3),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f545])).
% 2.99/0.76 fof(f560,plain,(
% 2.99/0.76 spl0_14 <=> ssItem(sk0_0)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f562,plain,(
% 2.99/0.76 ~ssItem(sk0_0)|spl0_14),
% 2.99/0.76 inference(component_clause,[status(thm)],[f560])).
% 2.99/0.76 fof(f573,plain,(
% 2.99/0.76 $false|spl0_14),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f562,f103])).
% 2.99/0.76 fof(f574,plain,(
% 2.99/0.76 spl0_14),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f573])).
% 2.99/0.76 fof(f575,plain,(
% 2.99/0.76 spl0_17 <=> ssItem(sk0_1)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f577,plain,(
% 2.99/0.76 ~ssItem(sk0_1)|spl0_17),
% 2.99/0.76 inference(component_clause,[status(thm)],[f575])).
% 2.99/0.76 fof(f588,plain,(
% 2.99/0.76 $false|spl0_17),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f577,f104])).
% 2.99/0.76 fof(f589,plain,(
% 2.99/0.76 spl0_17),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f588])).
% 2.99/0.76 fof(f657,plain,(
% 2.99/0.76 $false|spl0_6),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f509,f420])).
% 2.99/0.76 fof(f658,plain,(
% 2.99/0.76 spl0_6),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f657])).
% 2.99/0.76 fof(f743,plain,(
% 2.99/0.76 spl0_44 <=> sk0_0=sk0_1),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f744,plain,(
% 2.99/0.76 sk0_0=sk0_1|~spl0_44),
% 2.99/0.76 inference(component_clause,[status(thm)],[f743])).
% 2.99/0.76 fof(f758,plain,(
% 2.99/0.76 $false|~spl0_44),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f744,f105])).
% 2.99/0.76 fof(f759,plain,(
% 2.99/0.76 ~spl0_44),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f758])).
% 2.99/0.76 fof(f800,plain,(
% 2.99/0.76 app(nil,sk0_47)=sk0_47),
% 2.99/0.76 inference(resolution,[status(thm)],[f249,f419])).
% 2.99/0.76 fof(f810,plain,(
% 2.99/0.76 spl0_54 <=> ~ssList(X0)|~ssList(X1)|~segmentP(sk0_47,X0)|segmentP(app(sk0_47,X1),X0)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f811,plain,(
% 2.99/0.76 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(sk0_47,X0)|segmentP(app(sk0_47,X1),X0)|~spl0_54)),
% 2.99/0.76 inference(component_clause,[status(thm)],[f810])).
% 2.99/0.76 fof(f813,plain,(
% 2.99/0.76 ![X0,X1]: (~ssList(sk0_47)|~ssList(X0)|~ssList(nil)|~ssList(X1)|~segmentP(sk0_47,X0)|segmentP(app(sk0_47,X1),X0))),
% 2.99/0.76 inference(paramodulation,[status(thm)],[f800,f321])).
% 2.99/0.76 fof(f814,plain,(
% 2.99/0.76 ~spl0_10|spl0_54|~spl0_3),
% 2.99/0.76 inference(split_clause,[status(thm)],[f813,f523,f810,f498])).
% 2.99/0.76 fof(f1342,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|ssList(sk0_5(sk0_47,X0)))),
% 2.99/0.76 inference(resolution,[status(thm)],[f122,f419])).
% 2.99/0.76 fof(f1346,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|~frontsegP(X0,nil)|ssList(sk0_5(nil,X0)))),
% 2.99/0.76 inference(resolution,[status(thm)],[f122,f223])).
% 2.99/0.76 fof(f1347,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|ssList(sk0_5(nil,X0)))),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1346,f295])).
% 2.99/0.76 fof(f1348,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|app(sk0_47,sk0_5(sk0_47,X0))=X0)),
% 2.99/0.76 inference(resolution,[status(thm)],[f123,f419])).
% 2.99/0.76 fof(f1432,plain,(
% 2.99/0.76 spl0_130 <=> frontsegP(sk0_48,sk0_47)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f1434,plain,(
% 2.99/0.76 ~frontsegP(sk0_48,sk0_47)|spl0_130),
% 2.99/0.76 inference(component_clause,[status(thm)],[f1432])).
% 2.99/0.76 fof(f1459,plain,(
% 2.99/0.76 spl0_133 <=> ~ssList(X0)|segmentP(app(sk0_47,X0),sk0_47)),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f1460,plain,(
% 2.99/0.76 ![X0]: (~ssList(X0)|segmentP(app(sk0_47,X0),sk0_47)|~spl0_133)),
% 2.99/0.76 inference(component_clause,[status(thm)],[f1459])).
% 2.99/0.76 fof(f1462,plain,(
% 2.99/0.76 ![X0]: (~ssList(sk0_47)|~ssList(X0)|segmentP(app(sk0_47,X0),sk0_47)|~ssList(sk0_47)|~spl0_54)),
% 2.99/0.76 inference(resolution,[status(thm)],[f811,f319])).
% 2.99/0.76 fof(f1463,plain,(
% 2.99/0.76 ~spl0_10|spl0_133|~spl0_54),
% 2.99/0.76 inference(split_clause,[status(thm)],[f1462,f523,f1459,f810])).
% 2.99/0.76 fof(f1526,plain,(
% 2.99/0.76 spl0_145 <=> ssList(sk0_5(sk0_47,sk0_48))),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f1529,plain,(
% 2.99/0.76 ~frontsegP(sk0_48,sk0_47)|ssList(sk0_5(sk0_47,sk0_48))),
% 2.99/0.76 inference(resolution,[status(thm)],[f1342,f420])).
% 2.99/0.76 fof(f1530,plain,(
% 2.99/0.76 ~spl0_130|spl0_145),
% 2.99/0.76 inference(split_clause,[status(thm)],[f1529,f1432,f1526])).
% 2.99/0.76 fof(f1538,plain,(
% 2.99/0.76 $false|~spl0_2|spl0_130),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1434,f495])).
% 2.99/0.76 fof(f1539,plain,(
% 2.99/0.76 ~spl0_2|spl0_130),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f1538])).
% 2.99/0.76 fof(f1562,plain,(
% 2.99/0.76 spl0_151 <=> app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f1563,plain,(
% 2.99/0.76 app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48|~spl0_151),
% 2.99/0.76 inference(component_clause,[status(thm)],[f1562])).
% 2.99/0.76 fof(f1565,plain,(
% 2.99/0.76 ~frontsegP(sk0_48,sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48),
% 2.99/0.76 inference(resolution,[status(thm)],[f1348,f420])).
% 2.99/0.76 fof(f1566,plain,(
% 2.99/0.76 ~spl0_130|spl0_151),
% 2.99/0.76 inference(split_clause,[status(thm)],[f1565,f1432,f1562])).
% 2.99/0.76 fof(f1621,plain,(
% 2.99/0.76 ssList(sk0_5(nil,sk0_47))),
% 2.99/0.76 inference(resolution,[status(thm)],[f1347,f419])).
% 2.99/0.76 fof(f1622,plain,(
% 2.99/0.76 ssList(sk0_5(nil,sk0_48))),
% 2.99/0.76 inference(resolution,[status(thm)],[f1347,f420])).
% 2.99/0.76 fof(f1625,plain,(
% 2.99/0.76 ssList(sk0_5(nil,nil))),
% 2.99/0.76 inference(resolution,[status(thm)],[f1347,f223])).
% 2.99/0.76 fof(f2402,plain,(
% 2.99/0.76 spl0_317 <=> ssList(sk0_5(nil,sk0_47))),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f2404,plain,(
% 2.99/0.76 ~ssList(sk0_5(nil,sk0_47))|spl0_317),
% 2.99/0.76 inference(component_clause,[status(thm)],[f2402])).
% 2.99/0.76 fof(f2424,plain,(
% 2.99/0.76 $false|spl0_317),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2404,f1621])).
% 2.99/0.76 fof(f2425,plain,(
% 2.99/0.76 spl0_317),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f2424])).
% 2.99/0.76 fof(f2431,plain,(
% 2.99/0.76 spl0_322 <=> ssList(sk0_5(nil,sk0_48))),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f2433,plain,(
% 2.99/0.76 ~ssList(sk0_5(nil,sk0_48))|spl0_322),
% 2.99/0.76 inference(component_clause,[status(thm)],[f2431])).
% 2.99/0.76 fof(f2453,plain,(
% 2.99/0.76 $false|spl0_322),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f2433,f1622])).
% 2.99/0.76 fof(f2454,plain,(
% 2.99/0.76 spl0_322),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f2453])).
% 2.99/0.76 fof(f3945,plain,(
% 2.99/0.76 spl0_601 <=> ssList(sk0_5(nil,nil))),
% 2.99/0.76 introduced(split_symbol_definition)).
% 2.99/0.76 fof(f3947,plain,(
% 2.99/0.76 ~ssList(sk0_5(nil,nil))|spl0_601),
% 2.99/0.76 inference(component_clause,[status(thm)],[f3945])).
% 2.99/0.76 fof(f3985,plain,(
% 2.99/0.76 $false|spl0_601),
% 2.99/0.76 inference(forward_subsumption_resolution,[status(thm)],[f3947,f1625])).
% 2.99/0.76 fof(f3986,plain,(
% 2.99/0.76 spl0_601),
% 2.99/0.76 inference(contradiction_clause,[status(thm)],[f3985])).
% 2.99/0.76 fof(f5318,plain,(
% 2.99/0.76 ~ssList(sk0_5(sk0_47,sk0_48))|segmentP(sk0_48,sk0_47)|~spl0_133|~spl0_151),
% 2.99/0.76 inference(paramodulation,[status(thm)],[f1563,f1460])).
% 2.99/0.76 fof(f5319,plain,(
% 2.99/0.76 ~spl0_145|spl0_12|~spl0_133|~spl0_151),
% 2.99/0.76 inference(split_clause,[status(thm)],[f5318,f1526,f531,f1459,f1562])).
% 2.99/0.76 fof(f5362,plain,(
% 2.99/0.76 $false),
% 2.99/0.76 inference(sat_refutation,[status(thm)],[f438,f442,f492,f535,f537,f544,f546,f574,f589,f658,f759,f814,f1463,f1530,f1539,f1566,f2425,f2454,f3986,f5319])).
% 2.99/0.76 % SZS output end CNFRefutation for theBenchmark.p
% 2.99/0.77 % Elapsed time: 0.419694 seconds
% 2.99/0.77 % CPU time: 3.155760 seconds
% 2.99/0.77 % Total memory used: 86.506 MB
% 2.99/0.77 % Net memory used: 85.600 MB
%------------------------------------------------------------------------------