TSTP Solution File: SWC029-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC029-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:44:14 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC029-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.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 Apr 30 00:17:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 ssList(nil) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f72,axiom,(
% 0.14/0.38 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f73,axiom,(
% 0.14/0.38 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f74,axiom,(
% 0.14/0.38 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f85,axiom,(
% 0.14/0.38 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f86,axiom,(
% 0.14/0.38 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f98,axiom,(
% 0.14/0.38 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f100,axiom,(
% 0.14/0.38 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f118,axiom,(
% 0.14/0.38 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f119,axiom,(
% 0.14/0.38 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f149,axiom,(
% 0.14/0.38 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f150,axiom,(
% 0.14/0.38 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f151,axiom,(
% 0.14/0.38 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f187,negated_conjecture,(
% 0.14/0.38 ssList(sk2) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f190,negated_conjecture,(
% 0.14/0.38 sk2 = sk4 ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f191,negated_conjecture,(
% 0.14/0.38 sk1 = sk3 ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f192,negated_conjecture,(
% 0.14/0.38 ( nil = sk3| nil != sk4 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f193,negated_conjecture,(
% 0.14/0.38 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f194,negated_conjecture,(
% 0.14/0.38 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f195,negated_conjecture,(
% 0.14/0.38 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f196,negated_conjecture,(
% 0.14/0.38 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f197,negated_conjecture,(
% 0.14/0.38 ( nil = sk2| nil = sk1 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f200,negated_conjecture,(
% 0.14/0.38 ( nil != sk1| nil != sk2 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f208,plain,(
% 0.14/0.38 ssList(nil)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f272,plain,(
% 0.14/0.38 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f72])).
% 0.14/0.38 fof(f273,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f272])).
% 0.14/0.38 fof(f274,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f73])).
% 0.14/0.38 fof(f275,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.38 fof(f286,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f85])).
% 0.14/0.38 fof(f287,plain,(
% 0.14/0.38 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f86])).
% 0.14/0.39 fof(f299,plain,(
% 0.14/0.39 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f98])).
% 0.14/0.39 fof(f300,plain,(
% 0.14/0.39 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f299])).
% 0.14/0.39 fof(f303,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f100])).
% 0.14/0.39 fof(f327,plain,(
% 0.14/0.39 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f118])).
% 0.14/0.39 fof(f328,plain,(
% 0.14/0.39 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f327])).
% 0.14/0.39 fof(f329,plain,(
% 0.14/0.39 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f119])).
% 0.14/0.39 fof(f330,plain,(
% 0.14/0.39 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f329])).
% 0.14/0.39 fof(f369,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f149])).
% 0.14/0.39 fof(f370,plain,(
% 0.14/0.39 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f150])).
% 0.14/0.39 fof(f371,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f370])).
% 0.14/0.39 fof(f372,plain,(
% 0.14/0.39 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.14/0.39 inference(miniscoping,[status(esa)],[f151])).
% 0.14/0.39 fof(f373,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f372])).
% 0.14/0.39 fof(f432,plain,(
% 0.14/0.39 ssList(sk2)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f187])).
% 0.14/0.39 fof(f435,plain,(
% 0.14/0.39 sk2=sk4),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f190])).
% 0.14/0.39 fof(f436,plain,(
% 0.14/0.39 sk1=sk3),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f191])).
% 0.14/0.39 fof(f437,plain,(
% 0.14/0.39 nil=sk3|~nil=sk4),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f192])).
% 0.14/0.39 fof(f438,plain,(
% 0.14/0.39 ssItem(sk5)|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f193])).
% 0.14/0.39 fof(f439,plain,(
% 0.14/0.39 ssList(sk6)|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f194])).
% 0.14/0.39 fof(f440,plain,(
% 0.14/0.39 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f195])).
% 0.14/0.39 fof(f441,plain,(
% 0.14/0.39 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f196])).
% 0.14/0.39 fof(f442,plain,(
% 0.14/0.39 nil=sk2|nil=sk1),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f197])).
% 0.14/0.39 fof(f445,plain,(
% 0.14/0.39 ~nil=sk1|~nil=sk2),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f200])).
% 0.14/0.39 fof(f446,plain,(
% 0.14/0.39 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f447,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f446])).
% 0.14/0.39 fof(f449,plain,(
% 0.14/0.39 spl0_1 <=> ssItem(X1)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f450,plain,(
% 0.14/0.39 ![X0]: (ssItem(X0)|~spl0_1)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f449])).
% 0.14/0.39 fof(f452,plain,(
% 0.14/0.39 spl0_0|spl0_1),
% 0.14/0.39 inference(split_clause,[status(thm)],[f273,f446,f449])).
% 0.14/0.39 fof(f453,plain,(
% 0.14/0.39 spl0_2 <=> nil=sk3),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f454,plain,(
% 0.14/0.39 nil=sk3|~spl0_2),
% 0.14/0.39 inference(component_clause,[status(thm)],[f453])).
% 0.14/0.39 fof(f455,plain,(
% 0.14/0.39 ~nil=sk3|spl0_2),
% 0.14/0.39 inference(component_clause,[status(thm)],[f453])).
% 0.14/0.39 fof(f456,plain,(
% 0.14/0.39 spl0_3 <=> nil=sk4),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f458,plain,(
% 0.14/0.39 ~nil=sk4|spl0_3),
% 0.14/0.39 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.39 fof(f459,plain,(
% 0.14/0.39 spl0_2|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f437,f453,f456])).
% 0.14/0.39 fof(f460,plain,(
% 0.14/0.39 spl0_4 <=> ssItem(sk5)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f463,plain,(
% 0.14/0.39 spl0_5 <=> neq(sk4,nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f465,plain,(
% 0.14/0.39 ~neq(sk4,nil)|spl0_5),
% 0.14/0.39 inference(component_clause,[status(thm)],[f463])).
% 0.14/0.39 fof(f466,plain,(
% 0.14/0.39 spl0_4|~spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f438,f460,f463])).
% 0.14/0.39 fof(f467,plain,(
% 0.14/0.39 spl0_6 <=> ssList(sk6)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f470,plain,(
% 0.14/0.39 spl0_6|~spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f439,f467,f463])).
% 0.14/0.39 fof(f471,plain,(
% 0.14/0.39 spl0_7 <=> app(cons(sk5,nil),sk6)=sk4),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f472,plain,(
% 0.14/0.39 app(cons(sk5,nil),sk6)=sk4|~spl0_7),
% 0.14/0.39 inference(component_clause,[status(thm)],[f471])).
% 0.14/0.39 fof(f474,plain,(
% 0.14/0.39 spl0_7|~spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f440,f471,f463])).
% 0.14/0.39 fof(f475,plain,(
% 0.14/0.39 spl0_8 <=> app(sk6,cons(sk5,nil))=sk3),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f476,plain,(
% 0.14/0.39 app(sk6,cons(sk5,nil))=sk3|~spl0_8),
% 0.14/0.39 inference(component_clause,[status(thm)],[f475])).
% 0.14/0.39 fof(f478,plain,(
% 0.14/0.39 spl0_8|~spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f441,f475,f463])).
% 0.14/0.39 fof(f479,plain,(
% 0.14/0.39 spl0_9 <=> nil=sk2),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f480,plain,(
% 0.14/0.39 nil=sk2|~spl0_9),
% 0.14/0.39 inference(component_clause,[status(thm)],[f479])).
% 0.14/0.39 fof(f481,plain,(
% 0.14/0.39 ~nil=sk2|spl0_9),
% 0.14/0.39 inference(component_clause,[status(thm)],[f479])).
% 0.14/0.39 fof(f482,plain,(
% 0.14/0.39 spl0_10 <=> nil=sk1),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f483,plain,(
% 0.14/0.39 nil=sk1|~spl0_10),
% 0.14/0.39 inference(component_clause,[status(thm)],[f482])).
% 0.14/0.39 fof(f484,plain,(
% 0.14/0.39 ~nil=sk1|spl0_10),
% 0.14/0.39 inference(component_clause,[status(thm)],[f482])).
% 0.14/0.39 fof(f485,plain,(
% 0.14/0.39 spl0_9|spl0_10),
% 0.14/0.39 inference(split_clause,[status(thm)],[f442,f479,f482])).
% 0.14/0.39 fof(f488,plain,(
% 0.14/0.39 ~spl0_10|~spl0_9),
% 0.14/0.39 inference(split_clause,[status(thm)],[f445,f482,f479])).
% 0.14/0.39 fof(f520,plain,(
% 0.14/0.39 spl0_11 <=> ssList(nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f522,plain,(
% 0.14/0.39 ~ssList(nil)|spl0_11),
% 0.14/0.39 inference(component_clause,[status(thm)],[f520])).
% 0.14/0.39 fof(f523,plain,(
% 0.14/0.39 spl0_12 <=> nil=nil),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f526,plain,(
% 0.14/0.39 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f328,f275])).
% 0.14/0.39 fof(f527,plain,(
% 0.14/0.39 ~spl0_11|spl0_12),
% 0.14/0.39 inference(split_clause,[status(thm)],[f526,f520,f523])).
% 0.14/0.39 fof(f530,plain,(
% 0.14/0.39 $false|spl0_11),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f522,f208])).
% 0.14/0.39 fof(f531,plain,(
% 0.14/0.39 spl0_11),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f530])).
% 0.14/0.39 fof(f532,plain,(
% 0.14/0.39 ~nil=sk2|spl0_3),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f435,f458])).
% 0.14/0.39 fof(f533,plain,(
% 0.14/0.39 $false|spl0_3|~spl0_9),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f480,f532])).
% 0.14/0.39 fof(f534,plain,(
% 0.14/0.39 spl0_3|~spl0_9),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f533])).
% 0.14/0.39 fof(f535,plain,(
% 0.14/0.39 nil=sk1|~spl0_2),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f454])).
% 0.14/0.39 fof(f536,plain,(
% 0.14/0.39 nil=sk3|~spl0_2),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f535,f436])).
% 0.14/0.39 fof(f538,plain,(
% 0.14/0.39 ~neq(sk2,nil)|spl0_5),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f435,f465])).
% 0.14/0.39 fof(f547,plain,(
% 0.14/0.39 spl0_15 <=> ssList(sk2)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f549,plain,(
% 0.14/0.39 ~ssList(sk2)|spl0_15),
% 0.14/0.39 inference(component_clause,[status(thm)],[f547])).
% 0.14/0.39 fof(f550,plain,(
% 0.14/0.39 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_5),
% 0.14/0.39 inference(resolution,[status(thm)],[f538,f303])).
% 0.14/0.39 fof(f551,plain,(
% 0.14/0.39 ~spl0_11|~spl0_15|spl0_9|spl0_5),
% 0.14/0.39 inference(split_clause,[status(thm)],[f550,f520,f547,f479,f463])).
% 0.14/0.39 fof(f552,plain,(
% 0.14/0.39 ~nil=nil|~spl0_2|spl0_10),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f535,f484])).
% 0.14/0.39 fof(f553,plain,(
% 0.14/0.39 $false|~spl0_2|spl0_10),
% 0.14/0.39 inference(trivial_equality_resolution,[status(esa)],[f552])).
% 0.14/0.39 fof(f554,plain,(
% 0.14/0.39 ~spl0_2|spl0_10),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f553])).
% 0.14/0.39 fof(f555,plain,(
% 0.14/0.39 $false|spl0_15),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f549,f432])).
% 0.14/0.39 fof(f556,plain,(
% 0.14/0.39 spl0_15),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f555])).
% 0.14/0.39 fof(f557,plain,(
% 0.14/0.39 app(cons(sk5,nil),sk6)=sk2|~spl0_7),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f435,f472])).
% 0.14/0.39 fof(f559,plain,(
% 0.14/0.39 spl0_16 <=> ssList(cons(sk5,nil))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f561,plain,(
% 0.14/0.39 ~ssList(cons(sk5,nil))|spl0_16),
% 0.14/0.39 inference(component_clause,[status(thm)],[f559])).
% 0.14/0.39 fof(f562,plain,(
% 0.14/0.39 spl0_17 <=> nil=cons(sk5,nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f563,plain,(
% 0.14/0.39 nil=cons(sk5,nil)|~spl0_17),
% 0.14/0.39 inference(component_clause,[status(thm)],[f562])).
% 0.14/0.39 fof(f565,plain,(
% 0.14/0.39 ~sk2=nil|~ssList(sk6)|~ssList(cons(sk5,nil))|nil=cons(sk5,nil)|~spl0_7),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f557,f328])).
% 0.14/0.39 fof(f566,plain,(
% 0.14/0.39 ~spl0_9|~spl0_6|~spl0_16|spl0_17|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f565,f479,f467,f559,f562,f471])).
% 0.14/0.39 fof(f569,plain,(
% 0.14/0.39 app(sk6,cons(sk5,nil))=nil|~spl0_2|~spl0_8),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f536,f476])).
% 0.14/0.39 fof(f570,plain,(
% 0.14/0.39 spl0_18 <=> nil=sk6),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f571,plain,(
% 0.14/0.39 nil=sk6|~spl0_18),
% 0.14/0.39 inference(component_clause,[status(thm)],[f570])).
% 0.14/0.39 fof(f573,plain,(
% 0.14/0.39 ~ssList(cons(sk5,nil))|~ssList(sk6)|nil=sk6|~spl0_2|~spl0_8),
% 0.14/0.39 inference(resolution,[status(thm)],[f569,f328])).
% 0.14/0.39 fof(f574,plain,(
% 0.14/0.39 ~spl0_16|~spl0_6|spl0_18|~spl0_2|~spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f573,f559,f467,f570,f453,f475])).
% 0.14/0.39 fof(f579,plain,(
% 0.14/0.39 ~ssItem(sk5)|~ssList(nil)|spl0_16),
% 0.14/0.39 inference(resolution,[status(thm)],[f561,f287])).
% 0.14/0.39 fof(f580,plain,(
% 0.14/0.39 ~spl0_4|~spl0_11|spl0_16),
% 0.14/0.39 inference(split_clause,[status(thm)],[f579,f460,f520,f559])).
% 0.14/0.39 fof(f583,plain,(
% 0.14/0.39 spl0_19 <=> ssList(sk3)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f586,plain,(
% 0.14/0.39 ~ssList(cons(sk5,nil))|~ssList(sk6)|ssList(sk3)|~spl0_8),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f476,f286])).
% 0.14/0.39 fof(f587,plain,(
% 0.14/0.39 ~spl0_16|~spl0_6|spl0_19|~spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f586,f559,f467,f583,f475])).
% 0.14/0.39 fof(f596,plain,(
% 0.14/0.39 ![X0,X1]: (duplicatefreeP(app(X0,X1))|~ssList(X1)|~ssList(X0)|~spl0_0)),
% 0.14/0.39 inference(resolution,[status(thm)],[f447,f286])).
% 0.14/0.39 fof(f599,plain,(
% 0.14/0.39 spl0_20 <=> duplicatefreeP(sk3)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f602,plain,(
% 0.14/0.39 duplicatefreeP(sk3)|~ssList(cons(sk5,nil))|~ssList(sk6)|~spl0_0|~spl0_8),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f476,f596])).
% 0.14/0.39 fof(f603,plain,(
% 0.14/0.39 spl0_20|~spl0_16|~spl0_6|~spl0_0|~spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f602,f599,f559,f467,f446,f475])).
% 0.14/0.39 fof(f604,plain,(
% 0.14/0.39 spl0_21 <=> duplicatefreeP(sk2)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f607,plain,(
% 0.14/0.39 duplicatefreeP(sk2)|~ssList(sk6)|~ssList(cons(sk5,nil))|~spl0_0|~spl0_7),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f557,f596])).
% 0.14/0.39 fof(f608,plain,(
% 0.14/0.39 spl0_21|~spl0_6|~spl0_16|~spl0_0|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f607,f604,f467,f559,f446,f471])).
% 0.14/0.39 fof(f611,plain,(
% 0.14/0.39 ![X0,X1]: (~cons(X0,X1)=nil|~ssList(X1)|~spl0_1)),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f300,f450])).
% 0.14/0.39 fof(f615,plain,(
% 0.14/0.39 nil=sk3|~spl0_10),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f483,f436])).
% 0.14/0.39 fof(f616,plain,(
% 0.14/0.39 $false|spl0_2|~spl0_10),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f615,f455])).
% 0.14/0.39 fof(f617,plain,(
% 0.14/0.39 spl0_2|~spl0_10),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f616])).
% 0.14/0.39 fof(f624,plain,(
% 0.14/0.39 ~sk3=nil|~ssList(cons(sk5,nil))|~ssList(sk6)|nil=cons(sk5,nil)|~spl0_8),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f476,f330])).
% 0.14/0.39 fof(f625,plain,(
% 0.14/0.39 ~spl0_2|~spl0_16|~spl0_6|spl0_17|~spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f624,f453,f559,f467,f562,f475])).
% 0.14/0.39 fof(f634,plain,(
% 0.14/0.39 spl0_23 <=> ~ssList(X0)|app(sk3,X0)=app(sk6,app(cons(sk5,nil),X0))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f637,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~ssList(cons(sk5,nil))|~ssList(sk6)|app(sk3,X0)=app(sk6,app(cons(sk5,nil),X0))|~spl0_8)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f476,f369])).
% 0.14/0.39 fof(f638,plain,(
% 0.14/0.39 spl0_23|~spl0_16|~spl0_6|~spl0_8),
% 0.14/0.39 inference(split_clause,[status(thm)],[f637,f634,f559,f467,f475])).
% 0.14/0.39 fof(f639,plain,(
% 0.14/0.39 spl0_24 <=> ~ssList(X0)|app(sk2,X0)=app(cons(sk5,nil),app(sk6,X0))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f642,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~ssList(sk6)|~ssList(cons(sk5,nil))|app(sk2,X0)=app(cons(sk5,nil),app(sk6,X0))|~spl0_7)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f557,f369])).
% 0.14/0.39 fof(f643,plain,(
% 0.14/0.39 spl0_24|~spl0_6|~spl0_16|~spl0_7),
% 0.14/0.39 inference(split_clause,[status(thm)],[f642,f639,f467,f559,f471])).
% 0.14/0.39 fof(f644,plain,(
% 0.14/0.39 spl0_25 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f647,plain,(
% 0.14/0.40 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f371,f275])).
% 0.14/0.40 fof(f648,plain,(
% 0.14/0.40 spl0_25|~spl0_11),
% 0.14/0.40 inference(split_clause,[status(thm)],[f647,f644,f520])).
% 0.14/0.40 fof(f651,plain,(
% 0.14/0.40 spl0_26 <=> ~sk3=app(sk6,X0)|~ssList(X0)|cons(sk5,nil)=X0),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f654,plain,(
% 0.14/0.40 ![X0]: (~sk3=app(sk6,X0)|~ssList(cons(sk5,nil))|~ssList(sk6)|~ssList(X0)|cons(sk5,nil)=X0|~spl0_8)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f476,f371])).
% 0.14/0.40 fof(f655,plain,(
% 0.14/0.40 spl0_26|~spl0_16|~spl0_6|~spl0_8),
% 0.14/0.40 inference(split_clause,[status(thm)],[f654,f651,f559,f467,f475])).
% 0.14/0.40 fof(f656,plain,(
% 0.14/0.40 spl0_27 <=> ~sk2=app(cons(sk5,nil),X0)|~ssList(X0)|sk6=X0),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f659,plain,(
% 0.14/0.40 ![X0]: (~sk2=app(cons(sk5,nil),X0)|~ssList(sk6)|~ssList(cons(sk5,nil))|~ssList(X0)|sk6=X0|~spl0_7)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f557,f371])).
% 0.14/0.40 fof(f660,plain,(
% 0.14/0.40 spl0_27|~spl0_6|~spl0_16|~spl0_7),
% 0.14/0.40 inference(split_clause,[status(thm)],[f659,f656,f467,f559,f471])).
% 0.14/0.40 fof(f674,plain,(
% 0.14/0.40 spl0_30 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f677,plain,(
% 0.14/0.40 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f373,f274])).
% 0.14/0.40 fof(f678,plain,(
% 0.14/0.40 spl0_30|~spl0_11),
% 0.14/0.40 inference(split_clause,[status(thm)],[f677,f674,f520])).
% 0.14/0.40 fof(f681,plain,(
% 0.14/0.40 spl0_31 <=> ~sk3=app(X0,cons(sk5,nil))|~ssList(X0)|sk6=X0),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f684,plain,(
% 0.14/0.40 ![X0]: (~sk3=app(X0,cons(sk5,nil))|~ssList(sk6)|~ssList(cons(sk5,nil))|~ssList(X0)|sk6=X0|~spl0_8)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f476,f373])).
% 0.14/0.40 fof(f685,plain,(
% 0.14/0.40 spl0_31|~spl0_6|~spl0_16|~spl0_8),
% 0.14/0.40 inference(split_clause,[status(thm)],[f684,f681,f467,f559,f475])).
% 0.14/0.40 fof(f686,plain,(
% 0.14/0.40 spl0_32 <=> ~sk2=app(X0,sk6)|~ssList(X0)|cons(sk5,nil)=X0),
% 0.14/0.40 introduced(split_symbol_definition)).
% 0.14/0.40 fof(f689,plain,(
% 0.14/0.40 ![X0]: (~sk2=app(X0,sk6)|~ssList(cons(sk5,nil))|~ssList(sk6)|~ssList(X0)|cons(sk5,nil)=X0|~spl0_7)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f557,f373])).
% 0.14/0.40 fof(f690,plain,(
% 0.14/0.40 spl0_32|~spl0_16|~spl0_6|~spl0_7),
% 0.14/0.40 inference(split_clause,[status(thm)],[f689,f686,f559,f467,f471])).
% 0.14/0.40 fof(f719,plain,(
% 0.14/0.40 app(nil,cons(sk5,nil))=sk3|~spl0_18|~spl0_8),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f571,f476])).
% 0.14/0.40 fof(f720,plain,(
% 0.14/0.40 app(cons(sk5,nil),nil)=sk2|~spl0_18|~spl0_7),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f571,f557])).
% 0.14/0.40 fof(f724,plain,(
% 0.14/0.40 ~ssList(nil)|~spl0_17|~spl0_1),
% 0.14/0.40 inference(resolution,[status(thm)],[f563,f611])).
% 0.14/0.40 fof(f725,plain,(
% 0.14/0.40 ~spl0_11|~spl0_17|~spl0_1),
% 0.14/0.40 inference(split_clause,[status(thm)],[f724,f520,f562,f449])).
% 0.14/0.40 fof(f764,plain,(
% 0.14/0.40 app(nil,nil)=sk3|~spl0_17|~spl0_18|~spl0_8),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f563,f719])).
% 0.14/0.40 fof(f765,plain,(
% 0.14/0.40 app(nil,nil)=nil|~spl0_10|~spl0_17|~spl0_18|~spl0_8),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f615,f764])).
% 0.14/0.40 fof(f799,plain,(
% 0.14/0.40 app(nil,nil)=sk2|~spl0_17|~spl0_18|~spl0_7),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f563,f720])).
% 0.14/0.40 fof(f800,plain,(
% 0.14/0.40 nil=sk2|~spl0_10|~spl0_8|~spl0_17|~spl0_18|~spl0_7),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f765,f799])).
% 0.14/0.40 fof(f801,plain,(
% 0.14/0.40 $false|spl0_9|~spl0_10|~spl0_8|~spl0_17|~spl0_18|~spl0_7),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f800,f481])).
% 0.14/0.40 fof(f802,plain,(
% 0.14/0.40 spl0_9|~spl0_10|~spl0_8|~spl0_17|~spl0_18|~spl0_7),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f801])).
% 0.14/0.40 fof(f803,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f452,f459,f466,f470,f474,f478,f485,f488,f527,f531,f534,f551,f554,f556,f566,f574,f580,f587,f603,f608,f617,f625,f638,f643,f648,f655,f660,f678,f685,f690,f725,f802])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.41 % Elapsed time: 0.045704 seconds
% 0.21/0.41 % CPU time: 0.109819 seconds
% 0.21/0.41 % Total memory used: 24.891 MB
% 0.21/0.41 % Net memory used: 24.780 MB
%------------------------------------------------------------------------------