TSTP Solution File: SWC279-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC279-1 : 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 20:45:11 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC279-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.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 00:24:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 ssList(nil) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f72,axiom,(
% 0.13/0.36 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f74,axiom,(
% 0.13/0.36 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f85,axiom,(
% 0.13/0.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f86,axiom,(
% 0.13/0.36 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f118,axiom,(
% 0.13/0.36 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f119,axiom,(
% 0.13/0.36 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f140,axiom,(
% 0.13/0.36 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f150,axiom,(
% 0.13/0.36 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f191,negated_conjecture,(
% 0.13/0.36 sk1 = sk3 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f192,negated_conjecture,(
% 0.13/0.36 (![A,B,C,D]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk3| ~ ssItem(D)| leq(A,D)| ~ memberP(C,D) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f193,negated_conjecture,(
% 0.13/0.36 (![A,B,C,D]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk3| ~ ssItem(D)| leq(D,A)| ~ memberP(B,D) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f194,negated_conjecture,(
% 0.13/0.36 ssItem(sk5) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f195,negated_conjecture,(
% 0.13/0.36 ssList(sk6) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f196,negated_conjecture,(
% 0.13/0.36 ssList(sk7) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f197,negated_conjecture,(
% 0.13/0.36 app(app(sk6,cons(sk5,nil)),sk7) = sk1 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f198,negated_conjecture,(
% 0.13/0.36 ssItem(sk8) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f199,negated_conjecture,(
% 0.13/0.36 ( memberP(sk6,sk8)| memberP(sk7,sk8) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f200,negated_conjecture,(
% 0.13/0.36 ( memberP(sk6,sk8)| ~ leq(sk5,sk8) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f201,negated_conjecture,(
% 0.13/0.36 ( ~ leq(sk8,sk5)| memberP(sk7,sk8) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f202,negated_conjecture,(
% 0.13/0.36 ( ~ leq(sk8,sk5)| ~ leq(sk5,sk8) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f210,plain,(
% 0.13/0.36 ssList(nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f274,plain,(
% 0.13/0.36 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f72])).
% 0.13/0.36 fof(f275,plain,(
% 0.13/0.36 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f274])).
% 0.13/0.36 fof(f277,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f74])).
% 0.13/0.36 fof(f288,plain,(
% 0.13/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f85])).
% 0.13/0.36 fof(f289,plain,(
% 0.13/0.36 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f86])).
% 0.13/0.36 fof(f329,plain,(
% 0.13/0.36 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f118])).
% 0.13/0.36 fof(f330,plain,(
% 0.13/0.36 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f329])).
% 0.13/0.36 fof(f331,plain,(
% 0.13/0.36 ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f119])).
% 0.13/0.36 fof(f332,plain,(
% 0.13/0.36 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f331])).
% 0.13/0.36 fof(f357,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f140])).
% 0.13/0.36 fof(f372,plain,(
% 0.13/0.36 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f150])).
% 0.13/0.36 fof(f373,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f372])).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 sk1=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.36 fof(f439,plain,(
% 0.13/0.36 ![C,D]: ((![A]: (((![B]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk3))|~ssItem(D))|leq(A,D)))|~memberP(C,D))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f192])).
% 0.13/0.36 fof(f440,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk3|~ssItem(X3)|leq(X0,X3)|~memberP(X2,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f439])).
% 0.13/0.36 fof(f441,plain,(
% 0.13/0.36 ![B,D]: ((![A]: (((![C]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk3))|~ssItem(D))|leq(D,A)))|~memberP(B,D))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f193])).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk3|~ssItem(X3)|leq(X3,X0)|~memberP(X1,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f441])).
% 0.13/0.36 fof(f443,plain,(
% 0.13/0.36 ssItem(sk5)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.36 fof(f444,plain,(
% 0.13/0.36 ssList(sk6)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f195])).
% 0.13/0.36 fof(f445,plain,(
% 0.13/0.36 ssList(sk7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.36 fof(f446,plain,(
% 0.13/0.36 app(app(sk6,cons(sk5,nil)),sk7)=sk1),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f197])).
% 0.13/0.36 fof(f447,plain,(
% 0.13/0.36 ssItem(sk8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.36 fof(f448,plain,(
% 0.13/0.36 memberP(sk6,sk8)|memberP(sk7,sk8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.36 fof(f449,plain,(
% 0.13/0.36 memberP(sk6,sk8)|~leq(sk5,sk8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.36 fof(f450,plain,(
% 0.13/0.36 ~leq(sk8,sk5)|memberP(sk7,sk8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f201])).
% 0.13/0.36 fof(f451,plain,(
% 0.13/0.36 ~leq(sk8,sk5)|~leq(sk5,sk8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f202])).
% 0.13/0.36 fof(f452,plain,(
% 0.13/0.36 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f453,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f452])).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 spl0_1 <=> ssItem(X1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f458,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f275,f452,f455])).
% 0.13/0.36 fof(f459,plain,(
% 0.13/0.36 spl0_2 <=> memberP(sk6,sk8)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f460,plain,(
% 0.13/0.36 memberP(sk6,sk8)|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.36 fof(f462,plain,(
% 0.13/0.36 spl0_3 <=> memberP(sk7,sk8)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f463,plain,(
% 0.13/0.36 memberP(sk7,sk8)|~spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f462])).
% 0.13/0.36 fof(f465,plain,(
% 0.13/0.36 spl0_2|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f448,f459,f462])).
% 0.13/0.36 fof(f466,plain,(
% 0.13/0.36 spl0_4 <=> leq(sk5,sk8)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f469,plain,(
% 0.13/0.36 spl0_2|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f449,f459,f466])).
% 0.13/0.36 fof(f470,plain,(
% 0.13/0.36 spl0_5 <=> leq(sk8,sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f473,plain,(
% 0.13/0.36 ~spl0_5|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f450,f470,f462])).
% 0.13/0.36 fof(f474,plain,(
% 0.13/0.36 ~spl0_5|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f451,f470,f466])).
% 0.13/0.36 fof(f511,plain,(
% 0.13/0.36 ![X0,X1]: (duplicatefreeP(app(X0,X1))|~ssList(X1)|~ssList(X0)|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f453,f288])).
% 0.13/0.36 fof(f517,plain,(
% 0.13/0.36 spl0_6 <=> duplicatefreeP(sk1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f520,plain,(
% 0.13/0.36 spl0_7 <=> ssList(sk7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f522,plain,(
% 0.13/0.36 ~ssList(sk7)|spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f520])).
% 0.13/0.36 fof(f523,plain,(
% 0.13/0.36 spl0_8 <=> ssList(app(sk6,cons(sk5,nil)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f525,plain,(
% 0.13/0.36 ~ssList(app(sk6,cons(sk5,nil)))|spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f523])).
% 0.13/0.36 fof(f526,plain,(
% 0.13/0.36 duplicatefreeP(sk1)|~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|~spl0_0),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f446,f511])).
% 0.13/0.36 fof(f527,plain,(
% 0.13/0.36 spl0_6|~spl0_7|~spl0_8|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f526,f517,f520,f523,f452])).
% 0.13/0.36 fof(f528,plain,(
% 0.13/0.36 spl0_9 <=> ssList(sk1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f531,plain,(
% 0.13/0.36 ~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|ssList(sk1)),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f446,f288])).
% 0.13/0.36 fof(f532,plain,(
% 0.13/0.36 ~spl0_7|~spl0_8|spl0_9),
% 0.13/0.36 inference(split_clause,[status(thm)],[f531,f520,f523,f528])).
% 0.13/0.36 fof(f533,plain,(
% 0.13/0.36 spl0_10 <=> ssList(cons(sk5,nil))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f535,plain,(
% 0.13/0.36 ~ssList(cons(sk5,nil))|spl0_10),
% 0.13/0.36 inference(component_clause,[status(thm)],[f533])).
% 0.13/0.36 fof(f536,plain,(
% 0.13/0.36 spl0_11 <=> ssList(sk6)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f538,plain,(
% 0.13/0.36 ~ssList(sk6)|spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f536])).
% 0.13/0.36 fof(f539,plain,(
% 0.13/0.36 ~ssList(cons(sk5,nil))|~ssList(sk6)|spl0_8),
% 0.13/0.36 inference(resolution,[status(thm)],[f525,f288])).
% 0.13/0.36 fof(f540,plain,(
% 0.13/0.36 ~spl0_10|~spl0_11|spl0_8),
% 0.13/0.36 inference(split_clause,[status(thm)],[f539,f533,f536,f523])).
% 0.13/0.36 fof(f541,plain,(
% 0.13/0.36 $false|spl0_11),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f538,f444])).
% 0.13/0.36 fof(f542,plain,(
% 0.13/0.36 spl0_11),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f541])).
% 0.13/0.36 fof(f543,plain,(
% 0.13/0.36 $false|spl0_7),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f522,f445])).
% 0.13/0.36 fof(f544,plain,(
% 0.13/0.36 spl0_7),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f543])).
% 0.13/0.36 fof(f547,plain,(
% 0.13/0.36 spl0_12 <=> ssItem(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f549,plain,(
% 0.13/0.36 ~ssItem(sk5)|spl0_12),
% 0.13/0.36 inference(component_clause,[status(thm)],[f547])).
% 0.13/0.36 fof(f550,plain,(
% 0.13/0.36 spl0_13 <=> ssList(nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f552,plain,(
% 0.13/0.36 ~ssList(nil)|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f550])).
% 0.13/0.36 fof(f553,plain,(
% 0.13/0.36 ~ssItem(sk5)|~ssList(nil)|spl0_10),
% 0.13/0.36 inference(resolution,[status(thm)],[f535,f289])).
% 0.13/0.36 fof(f554,plain,(
% 0.13/0.36 ~spl0_12|~spl0_13|spl0_10),
% 0.13/0.36 inference(split_clause,[status(thm)],[f553,f547,f550,f533])).
% 0.13/0.36 fof(f555,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f552,f210])).
% 0.13/0.36 fof(f556,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f555])).
% 0.13/0.36 fof(f557,plain,(
% 0.13/0.36 $false|spl0_12),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f549,f443])).
% 0.13/0.36 fof(f558,plain,(
% 0.13/0.36 spl0_12),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f557])).
% 0.13/0.36 fof(f563,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~ssItem(X3)|leq(X0,X3)|~memberP(X2,X3))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f438,f440])).
% 0.13/0.36 fof(f565,plain,(
% 0.13/0.36 spl0_14 <=> ~ssItem(X0)|leq(sk5,X0)|~memberP(sk7,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f566,plain,(
% 0.13/0.36 ![X0]: (~ssItem(X0)|leq(sk5,X0)|~memberP(sk7,X0)|~spl0_14)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f565])).
% 0.13/0.36 fof(f586,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|~ssItem(X3)|leq(X3,X0)|~memberP(X1,X3))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f438,f442])).
% 0.13/0.36 fof(f587,plain,(
% 0.13/0.36 spl0_16 <=> ~ssItem(X0)|leq(X0,sk5)|~memberP(sk6,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f588,plain,(
% 0.13/0.36 ![X0]: (~ssItem(X0)|leq(X0,sk5)|~memberP(sk6,X0)|~spl0_16)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f587])).
% 0.13/0.36 fof(f590,plain,(
% 0.13/0.36 ![X0]: (~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~ssItem(X0)|leq(X0,sk5)|~memberP(sk6,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f586,f446])).
% 0.13/0.36 fof(f591,plain,(
% 0.13/0.36 ~spl0_12|~spl0_11|~spl0_7|spl0_16),
% 0.13/0.36 inference(split_clause,[status(thm)],[f590,f547,f536,f520,f587])).
% 0.13/0.37 fof(f594,plain,(
% 0.13/0.37 ![X0]: (~ssItem(sk5)|~ssList(sk6)|~ssList(sk7)|~ssItem(X0)|leq(sk5,X0)|~memberP(sk7,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f563,f446])).
% 0.13/0.37 fof(f595,plain,(
% 0.13/0.37 ~spl0_12|~spl0_11|~spl0_7|spl0_14),
% 0.13/0.37 inference(split_clause,[status(thm)],[f594,f547,f536,f520,f565])).
% 0.13/0.37 fof(f599,plain,(
% 0.13/0.37 spl0_17 <=> nil=nil),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f602,plain,(
% 0.13/0.37 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.37 inference(resolution,[status(thm)],[f330,f277])).
% 0.13/0.37 fof(f603,plain,(
% 0.13/0.37 ~spl0_13|spl0_17),
% 0.13/0.37 inference(split_clause,[status(thm)],[f602,f550,f599])).
% 0.13/0.37 fof(f606,plain,(
% 0.13/0.37 spl0_18 <=> sk1=nil),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f609,plain,(
% 0.13/0.37 spl0_19 <=> nil=app(sk6,cons(sk5,nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f612,plain,(
% 0.13/0.37 ~sk1=nil|~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|nil=app(sk6,cons(sk5,nil))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f446,f330])).
% 0.13/0.37 fof(f613,plain,(
% 0.13/0.37 ~spl0_18|~spl0_7|~spl0_8|spl0_19),
% 0.13/0.37 inference(split_clause,[status(thm)],[f612,f606,f520,f523,f609])).
% 0.13/0.37 fof(f618,plain,(
% 0.13/0.37 spl0_20 <=> nil=sk7),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f621,plain,(
% 0.13/0.37 ~sk1=nil|~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|nil=sk7),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f446,f332])).
% 0.13/0.37 fof(f622,plain,(
% 0.13/0.37 ~spl0_18|~spl0_7|~spl0_8|spl0_20),
% 0.13/0.37 inference(split_clause,[status(thm)],[f621,f606,f520,f523,f618])).
% 0.13/0.37 fof(f623,plain,(
% 0.13/0.37 spl0_21 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f626,plain,(
% 0.13/0.37 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f373,f277])).
% 0.13/0.37 fof(f627,plain,(
% 0.13/0.37 spl0_21|~spl0_13),
% 0.13/0.37 inference(split_clause,[status(thm)],[f626,f623,f550])).
% 0.13/0.37 fof(f630,plain,(
% 0.13/0.37 spl0_22 <=> ~sk1=app(app(sk6,cons(sk5,nil)),X0)|~ssList(X0)|sk7=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f633,plain,(
% 0.13/0.37 ![X0]: (~sk1=app(app(sk6,cons(sk5,nil)),X0)|~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|~ssList(X0)|sk7=X0)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f446,f373])).
% 0.13/0.37 fof(f634,plain,(
% 0.13/0.37 spl0_22|~spl0_7|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f633,f630,f520,f523])).
% 0.13/0.37 fof(f646,plain,(
% 0.13/0.37 spl0_25 <=> ~memberP(app(sk6,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f649,plain,(
% 0.13/0.37 ![X0]: (~memberP(app(sk6,cons(sk5,nil)),X0)|~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f446,f357])).
% 0.13/0.37 fof(f650,plain,(
% 0.13/0.37 spl0_25|~spl0_7|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f649,f646,f520,f523])).
% 0.13/0.37 fof(f662,plain,(
% 0.13/0.37 spl0_26 <=> ssItem(sk8)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f664,plain,(
% 0.13/0.37 ~ssItem(sk8)|spl0_26),
% 0.13/0.37 inference(component_clause,[status(thm)],[f662])).
% 0.13/0.37 fof(f665,plain,(
% 0.13/0.37 ~ssItem(sk8)|leq(sk8,sk5)|~spl0_16|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f588,f460])).
% 0.13/0.37 fof(f666,plain,(
% 0.13/0.37 ~spl0_26|spl0_5|~spl0_16|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f665,f662,f470,f587,f459])).
% 0.13/0.37 fof(f667,plain,(
% 0.13/0.37 $false|spl0_26),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f664,f447])).
% 0.13/0.37 fof(f668,plain,(
% 0.13/0.37 spl0_26),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f667])).
% 0.13/0.37 fof(f669,plain,(
% 0.13/0.37 ~ssItem(sk8)|leq(sk5,sk8)|~spl0_3|~spl0_14),
% 0.13/0.37 inference(resolution,[status(thm)],[f463,f566])).
% 0.13/0.37 fof(f670,plain,(
% 0.13/0.37 ~spl0_26|spl0_4|~spl0_3|~spl0_14),
% 0.13/0.37 inference(split_clause,[status(thm)],[f669,f662,f466,f462,f565])).
% 0.13/0.37 fof(f671,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f458,f465,f469,f473,f474,f527,f532,f540,f542,f544,f554,f556,f558,f591,f595,f603,f613,f622,f627,f634,f650,f666,f668,f670])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.027768 seconds
% 0.13/0.38 % CPU time: 0.056005 seconds
% 0.13/0.38 % Total memory used: 16.678 MB
% 0.13/0.38 % Net memory used: 16.622 MB
%------------------------------------------------------------------------------