0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.13/0.33 % Computer : n016.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 02:18:42 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.36 % Drodi V3.3.3 0.19/0.37 % Refutation found 0.19/0.37 % SZS status Theorem for theBenchmark: Theorem is valid 0.19/0.37 % SZS output start CNFRefutation for theBenchmark 0.19/0.37 fof(f40,axiom,( 0.19/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( V != U<=> neq(U,V) ) ) )) )), 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.37 fof(f64,axiom,( 0.19/0.37 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> U = nil ) ) )), 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.37 fof(f96,conjecture,( 0.19/0.37 (! [U] :( (! [V] :( (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ segmentP(W,Y)| ~ segmentP(X,Y) ) ))& ( nil != W| X != nil ) )| nil = U| W != U| V != X| V != nil ) ) )))<= ssList(V) ))<= ssList(U) ) )), 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.37 fof(f97,negated_conjecture,( 0.19/0.37 ~((! [U] :( (! [V] :( (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ segmentP(W,Y)| ~ segmentP(X,Y) ) ))& ( nil != W| X != nil ) )| nil = U| W != U| V != X| V != nil ) ) )))<= ssList(V) ))<= ssList(U) ) ))), 0.19/0.37 inference(negated_conjecture,[status(cth)],[f96])). 0.19/0.37 fof(f222,plain,( 0.19/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(~V=U<=>neq(U,V)))))), 0.19/0.37 inference(pre_NNF_transformation,[status(esa)],[f40])). 0.19/0.37 fof(f223,plain,( 0.19/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((V=U|neq(U,V))&(~V=U|~neq(U,V))))))), 0.19/0.37 inference(NNF_transformation,[status(esa)],[f222])). 0.19/0.37 fof(f225,plain,( 0.19/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~X1=X0|~neq(X0,X1))), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f223])). 0.19/0.37 fof(f317,plain,( 0.19/0.37 ![U]: (~ssList(U)|(segmentP(nil,U)<=>U=nil))), 0.19/0.37 inference(pre_NNF_transformation,[status(esa)],[f64])). 0.19/0.37 fof(f318,plain,( 0.19/0.37 ![U]: (~ssList(U)|((~segmentP(nil,U)|U=nil)&(segmentP(nil,U)|~U=nil)))), 0.19/0.37 inference(NNF_transformation,[status(esa)],[f317])). 0.19/0.37 fof(f319,plain,( 0.19/0.37 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|X0=nil)), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f318])). 0.19/0.37 fof(f415,plain,( 0.19/0.37 (?[U]: ((?[V]: ((?[W]: (ssList(W)&(?[X]: (ssList(X)&((((((?[Y]: (ssList(Y)&((neq(Y,nil)&segmentP(W,Y))&segmentP(X,Y))))|(nil=W&X=nil))&~nil=U)&W=U)&V=X)&V=nil)))))&ssList(V)))&ssList(U)))), 0.19/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])). 0.19/0.37 fof(f416,plain,( 0.19/0.37 ![W,X,Y]: (pd0_0(Y,X,W)=>(ssList(Y)&((neq(Y,nil)&segmentP(W,Y))&segmentP(X,Y))))), 0.19/0.37 introduced(predicate_definition,[f415])). 0.19/0.37 fof(f417,plain,( 0.19/0.37 ?[U]: ((?[V]: ((?[W]: (ssList(W)&(?[X]: (ssList(X)&((((((?[Y]: pd0_0(Y,X,W))|(nil=W&X=nil))&~nil=U)&W=U)&V=X)&V=nil)))))&ssList(V)))&ssList(U))), 0.19/0.37 inference(formula_renaming,[status(thm)],[f415,f416])). 0.19/0.37 fof(f418,plain,( 0.19/0.37 (((ssList(sk0_49)&(ssList(sk0_50)&(((((pd0_0(sk0_51,sk0_50,sk0_49)|(nil=sk0_49&sk0_50=nil))&~nil=sk0_47)&sk0_49=sk0_47)&sk0_48=sk0_50)&sk0_48=nil)))&ssList(sk0_48))&ssList(sk0_47))), 0.19/0.37 inference(skolemization,[status(esa)],[f417])). 0.19/0.37 fof(f421,plain,( 0.19/0.37 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_49), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f423,plain,( 0.19/0.37 ~nil=sk0_47), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f424,plain,( 0.19/0.37 sk0_49=sk0_47), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f425,plain,( 0.19/0.37 sk0_48=sk0_50), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f426,plain,( 0.19/0.37 sk0_48=nil), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f427,plain,( 0.19/0.37 ssList(sk0_48)), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f428,plain,( 0.19/0.37 ssList(sk0_47)), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f418])). 0.19/0.37 fof(f429,plain,( 0.19/0.37 ![W,X,Y]: (~pd0_0(Y,X,W)|(ssList(Y)&((neq(Y,nil)&segmentP(W,Y))&segmentP(X,Y))))), 0.19/0.37 inference(pre_NNF_transformation,[status(esa)],[f416])). 0.19/0.37 fof(f430,plain,( 0.19/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(X0))), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f429])). 0.19/0.37 fof(f431,plain,( 0.19/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|neq(X0,nil))), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f429])). 0.19/0.37 fof(f433,plain,( 0.19/0.37 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|segmentP(X1,X0))), 0.19/0.37 inference(cnf_transformation,[status(esa)],[f429])). 0.19/0.37 fof(f434,plain,( 0.19/0.37 spl0_0 <=> pd0_0(sk0_51,sk0_50,sk0_49)), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f435,plain,( 0.19/0.37 pd0_0(sk0_51,sk0_50,sk0_49)|~spl0_0), 0.19/0.37 inference(component_clause,[status(thm)],[f434])). 0.19/0.37 fof(f437,plain,( 0.19/0.37 spl0_1 <=> nil=sk0_49), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f438,plain,( 0.19/0.37 nil=sk0_49|~spl0_1), 0.19/0.37 inference(component_clause,[status(thm)],[f437])). 0.19/0.37 fof(f440,plain,( 0.19/0.37 spl0_0|spl0_1), 0.19/0.37 inference(split_clause,[status(thm)],[f421,f434,f437])). 0.19/0.37 fof(f453,plain,( 0.19/0.37 ![X0]: (~ssList(X0)|~ssList(X0)|~neq(X0,X0))), 0.19/0.37 inference(destructive_equality_resolution,[status(esa)],[f225])). 0.19/0.37 fof(f470,plain,( 0.19/0.37 nil=sk0_50), 0.19/0.37 inference(backward_demodulation,[status(thm)],[f426,f425])). 0.19/0.37 fof(f471,plain,( 0.19/0.37 ssList(nil)), 0.19/0.37 inference(forward_demodulation,[status(thm)],[f426,f427])). 0.19/0.37 fof(f574,plain,( 0.19/0.37 pd0_0(sk0_51,nil,sk0_49)|~spl0_0), 0.19/0.37 inference(forward_demodulation,[status(thm)],[f470,f435])). 0.19/0.37 fof(f575,plain,( 0.19/0.37 pd0_0(sk0_51,nil,sk0_47)|~spl0_0), 0.19/0.37 inference(forward_demodulation,[status(thm)],[f424,f574])). 0.19/0.37 fof(f576,plain,( 0.19/0.37 segmentP(nil,sk0_51)|~spl0_0), 0.19/0.37 inference(resolution,[status(thm)],[f575,f433])). 0.19/0.37 fof(f578,plain,( 0.19/0.37 neq(sk0_51,nil)|~spl0_0), 0.19/0.37 inference(resolution,[status(thm)],[f575,f431])). 0.19/0.37 fof(f579,plain,( 0.19/0.37 ssList(sk0_51)|~spl0_0), 0.19/0.37 inference(resolution,[status(thm)],[f575,f430])). 0.19/0.37 fof(f586,plain,( 0.19/0.37 spl0_12 <=> segmentP(nil,sk0_51)), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f589,plain,( 0.19/0.37 spl0_13 <=> sk0_51=nil), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f590,plain,( 0.19/0.37 sk0_51=nil|~spl0_13), 0.19/0.37 inference(component_clause,[status(thm)],[f589])). 0.19/0.37 fof(f592,plain,( 0.19/0.37 ~segmentP(nil,sk0_51)|sk0_51=nil|~spl0_0), 0.19/0.37 inference(resolution,[status(thm)],[f579,f319])). 0.19/0.37 fof(f593,plain,( 0.19/0.37 ~spl0_12|spl0_13|~spl0_0), 0.19/0.37 inference(split_clause,[status(thm)],[f592,f586,f589,f434])). 0.19/0.37 fof(f612,plain,( 0.19/0.37 nil=sk0_47|~spl0_1), 0.19/0.37 inference(forward_demodulation,[status(thm)],[f424,f438])). 0.19/0.37 fof(f613,plain,( 0.19/0.37 $false|~spl0_1), 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f612,f423])). 0.19/0.37 fof(f614,plain,( 0.19/0.37 ~spl0_1), 0.19/0.37 inference(contradiction_clause,[status(thm)],[f613])). 0.19/0.37 fof(f628,plain,( 0.19/0.37 neq(nil,nil)|~spl0_13|~spl0_0), 0.19/0.37 inference(forward_demodulation,[status(thm)],[f590,f578])). 0.19/0.37 fof(f658,plain,( 0.19/0.37 spl0_15 <=> ssList(sk0_47)), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f660,plain,( 0.19/0.37 ~ssList(sk0_47)|spl0_15), 0.19/0.37 inference(component_clause,[status(thm)],[f658])). 0.19/0.37 fof(f666,plain,( 0.19/0.37 spl0_17 <=> ssList(nil)), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f668,plain,( 0.19/0.37 ~ssList(nil)|spl0_17), 0.19/0.37 inference(component_clause,[status(thm)],[f666])). 0.19/0.37 fof(f669,plain,( 0.19/0.37 spl0_18 <=> neq(nil,nil)), 0.19/0.37 introduced(split_symbol_definition)). 0.19/0.37 fof(f671,plain,( 0.19/0.37 ~neq(nil,nil)|spl0_18), 0.19/0.37 inference(component_clause,[status(thm)],[f669])). 0.19/0.37 fof(f672,plain,( 0.19/0.37 ~ssList(nil)|~neq(nil,nil)), 0.19/0.37 inference(resolution,[status(thm)],[f453,f471])). 0.19/0.37 fof(f673,plain,( 0.19/0.37 ~spl0_17|~spl0_18), 0.19/0.37 inference(split_clause,[status(thm)],[f672,f666,f669])). 0.19/0.37 fof(f674,plain,( 0.19/0.37 $false|spl0_17), 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f668,f471])). 0.19/0.37 fof(f675,plain,( 0.19/0.37 spl0_17), 0.19/0.37 inference(contradiction_clause,[status(thm)],[f674])). 0.19/0.37 fof(f676,plain,( 0.19/0.37 $false|spl0_15), 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f660,f428])). 0.19/0.37 fof(f677,plain,( 0.19/0.37 spl0_15), 0.19/0.37 inference(contradiction_clause,[status(thm)],[f676])). 0.19/0.37 fof(f678,plain,( 0.19/0.37 $false|~spl0_13|~spl0_0|spl0_18), 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f671,f628])). 0.19/0.37 fof(f679,plain,( 0.19/0.37 ~spl0_13|~spl0_0|spl0_18), 0.19/0.37 inference(contradiction_clause,[status(thm)],[f678])). 0.19/0.37 fof(f680,plain,( 0.19/0.37 spl0_12|~spl0_0), 0.19/0.37 inference(split_clause,[status(thm)],[f576,f586,f434])). 0.19/0.37 fof(f681,plain,( 0.19/0.37 $false), 0.19/0.37 inference(sat_refutation,[status(thm)],[f440,f593,f614,f673,f675,f677,f679,f680])). 0.19/0.37 % SZS output end CNFRefutation for theBenchmark.p 0.19/0.38 % Elapsed time: 0.037387 seconds 0.19/0.38 % CPU time: 0.097429 seconds 0.19/0.38 % Memory used: 24.004 MB 0.19/0.38 EOF