TSTP Solution File: SWC018-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC018-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:44:10 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
% 0.11/0.12 % Problem : SWC018-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 : Mon Apr 29 23:54:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % 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(f60,axiom,(
% 0.13/0.36 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f61,axiom,(
% 0.13/0.36 (![U]: (( ~ ssList(U)| frontsegP(U,U) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f84,axiom,(
% 0.13/0.36 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = 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(f100,axiom,(
% 0.13/0.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 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(f129,axiom,(
% 0.13/0.36 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f137,axiom,(
% 0.13/0.36 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f144,axiom,(
% 0.13/0.36 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f149,axiom,(
% 0.13/0.36 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f186,negated_conjecture,(
% 0.13/0.36 ssList(sk1) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f187,negated_conjecture,(
% 0.13/0.36 ssList(sk2) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f190,negated_conjecture,(
% 0.13/0.36 sk2 = sk4 ),
% 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 ssList(sk5) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f193,negated_conjecture,(
% 0.13/0.36 app(sk3,sk5) = sk4 ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f196,negated_conjecture,(
% 0.13/0.36 ( nil = sk4| nil != sk3 ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f198,negated_conjecture,(
% 0.13/0.36 (![A]: (( nil = sk2| ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f199,negated_conjecture,(
% 0.13/0.36 ( nil != sk1| neq(sk2,nil) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f200,negated_conjecture,(
% 0.13/0.36 (![A]: (( nil != sk1| ~ ssList(A)| ~ neq(A,nil)| ~ frontsegP(sk2,A)| ~ frontsegP(sk1,A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f208,plain,(
% 0.13/0.36 ssList(nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f260,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f60])).
% 0.13/0.36 fof(f261,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.36 fof(f285,plain,(
% 0.13/0.36 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f84])).
% 0.13/0.36 fof(f286,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(f303,plain,(
% 0.13/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f327,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(f328,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)],[f327])).
% 0.13/0.36 fof(f342,plain,(
% 0.13/0.36 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f129])).
% 0.13/0.36 fof(f352,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f137])).
% 0.13/0.36 fof(f360,plain,(
% 0.13/0.36 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f144])).
% 0.13/0.36 fof(f361,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f360])).
% 0.13/0.36 fof(f369,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f149])).
% 0.13/0.36 fof(f431,plain,(
% 0.13/0.36 ssList(sk1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.36 fof(f432,plain,(
% 0.13/0.36 ssList(sk2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.36 fof(f435,plain,(
% 0.13/0.36 sk2=sk4),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.36 fof(f436,plain,(
% 0.13/0.36 sk1=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.36 fof(f437,plain,(
% 0.13/0.36 ssList(sk5)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 app(sk3,sk5)=sk4),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 nil=sk4|~nil=sk3),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.36 fof(f444,plain,(
% 0.13/0.36 ![X0]: (nil=sk2|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.36 fof(f445,plain,(
% 0.13/0.36 ~nil=sk1|neq(sk2,nil)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.36 fof(f446,plain,(
% 0.13/0.36 ![X0]: (~nil=sk1|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.36 fof(f454,plain,(
% 0.13/0.36 spl0_2 <=> nil=sk4),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 nil=sk4|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.36 fof(f457,plain,(
% 0.13/0.36 spl0_3 <=> nil=sk3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f459,plain,(
% 0.13/0.36 ~nil=sk3|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f457])).
% 0.13/0.36 fof(f460,plain,(
% 0.13/0.36 spl0_2|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f442,f454,f457])).
% 0.13/0.36 fof(f461,plain,(
% 0.13/0.36 spl0_4 <=> nil=sk2),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f462,plain,(
% 0.13/0.36 nil=sk2|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.36 fof(f463,plain,(
% 0.13/0.36 ~nil=sk2|spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.36 fof(f464,plain,(
% 0.13/0.36 spl0_5 <=> neq(sk2,nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f465,plain,(
% 0.13/0.36 neq(sk2,nil)|~spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f464])).
% 0.13/0.36 fof(f468,plain,(
% 0.13/0.36 spl0_6 <=> ~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f469,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk2,X0)|~frontsegP(sk1,X0)|~spl0_6)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f468])).
% 0.13/0.36 fof(f471,plain,(
% 0.13/0.36 spl0_4|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f444,f461,f468])).
% 0.13/0.36 fof(f472,plain,(
% 0.13/0.36 spl0_7 <=> nil=sk1),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f473,plain,(
% 0.13/0.36 nil=sk1|~spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f472])).
% 0.13/0.36 fof(f475,plain,(
% 0.13/0.36 ~spl0_7|spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f445,f472,f464])).
% 0.13/0.36 fof(f476,plain,(
% 0.13/0.36 ~spl0_7|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f446,f472,f468])).
% 0.13/0.36 fof(f492,plain,(
% 0.13/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f361])).
% 0.13/0.36 fof(f509,plain,(
% 0.13/0.36 app(sk1,sk5)=sk4),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.13/0.36 fof(f510,plain,(
% 0.13/0.36 app(sk1,sk5)=sk2),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f435,f509])).
% 0.13/0.36 fof(f511,plain,(
% 0.13/0.36 ~nil=sk1|spl0_3),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f436,f459])).
% 0.13/0.36 fof(f512,plain,(
% 0.13/0.36 app(sk1,sk5)=nil|~spl0_4),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f462,f510])).
% 0.13/0.36 fof(f524,plain,(
% 0.13/0.36 spl0_8 <=> ssList(nil)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f526,plain,(
% 0.13/0.36 ~ssList(nil)|spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f524])).
% 0.13/0.36 fof(f527,plain,(
% 0.13/0.36 spl0_9 <=> nil=nil),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f530,plain,(
% 0.13/0.36 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.36 inference(resolution,[status(thm)],[f285,f260])).
% 0.13/0.36 fof(f531,plain,(
% 0.13/0.36 ~spl0_8|spl0_9),
% 0.13/0.36 inference(split_clause,[status(thm)],[f530,f524,f527])).
% 0.13/0.36 fof(f534,plain,(
% 0.13/0.36 $false|spl0_8),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f526,f208])).
% 0.13/0.36 fof(f535,plain,(
% 0.13/0.36 spl0_8),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f534])).
% 0.13/0.36 fof(f537,plain,(
% 0.13/0.36 spl0_10 <=> ssList(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f539,plain,(
% 0.13/0.36 ~ssList(sk5)|spl0_10),
% 0.13/0.36 inference(component_clause,[status(thm)],[f537])).
% 0.13/0.36 fof(f540,plain,(
% 0.13/0.36 spl0_11 <=> ssList(sk1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f542,plain,(
% 0.13/0.36 ~ssList(sk1)|spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f540])).
% 0.13/0.36 fof(f545,plain,(
% 0.13/0.36 spl0_12 <=> ssList(sk2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f547,plain,(
% 0.13/0.36 ~ssList(sk2)|spl0_12),
% 0.13/0.36 inference(component_clause,[status(thm)],[f545])).
% 0.13/0.36 fof(f548,plain,(
% 0.13/0.36 spl0_13 <=> frontsegP(sk2,sk2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f549,plain,(
% 0.13/0.36 frontsegP(sk2,sk2)|~spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f548])).
% 0.13/0.36 fof(f550,plain,(
% 0.13/0.36 ~frontsegP(sk2,sk2)|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f548])).
% 0.13/0.36 fof(f551,plain,(
% 0.13/0.36 spl0_14 <=> frontsegP(sk1,sk2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f553,plain,(
% 0.13/0.36 ~frontsegP(sk1,sk2)|spl0_14),
% 0.13/0.36 inference(component_clause,[status(thm)],[f551])).
% 0.13/0.36 fof(f554,plain,(
% 0.13/0.36 ~ssList(sk2)|~frontsegP(sk2,sk2)|~frontsegP(sk1,sk2)|~spl0_6|~spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f469,f465])).
% 0.13/0.36 fof(f555,plain,(
% 0.13/0.36 ~spl0_12|~spl0_13|~spl0_14|~spl0_6|~spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f554,f545,f548,f551,f468,f464])).
% 0.13/0.36 fof(f556,plain,(
% 0.13/0.36 ~frontsegP(sk1,nil)|~spl0_4|spl0_14),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f462,f553])).
% 0.13/0.36 fof(f557,plain,(
% 0.13/0.36 ~ssList(sk1)|~spl0_4|spl0_14),
% 0.13/0.36 inference(resolution,[status(thm)],[f556,f260])).
% 0.13/0.36 fof(f558,plain,(
% 0.13/0.36 $false|~spl0_4|spl0_14),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f557,f431])).
% 0.13/0.36 fof(f559,plain,(
% 0.13/0.36 ~spl0_4|spl0_14),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f558])).
% 0.13/0.36 fof(f560,plain,(
% 0.13/0.36 ~ssList(sk2)|spl0_13),
% 0.13/0.36 inference(resolution,[status(thm)],[f550,f261])).
% 0.13/0.36 fof(f563,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f432,f560])).
% 0.13/0.36 fof(f564,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f563])).
% 0.13/0.36 fof(f565,plain,(
% 0.13/0.36 $false|spl0_12),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f432,f547])).
% 0.13/0.36 fof(f566,plain,(
% 0.13/0.36 spl0_12),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f565])).
% 0.13/0.36 fof(f575,plain,(
% 0.13/0.36 $false|spl0_11),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f542,f431])).
% 0.13/0.36 fof(f576,plain,(
% 0.13/0.36 spl0_11),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f575])).
% 0.13/0.36 fof(f577,plain,(
% 0.13/0.36 $false|spl0_10),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f539,f437])).
% 0.13/0.36 fof(f578,plain,(
% 0.13/0.36 spl0_10),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f577])).
% 0.13/0.36 fof(f584,plain,(
% 0.13/0.36 ~ssList(sk5)|~ssList(sk1)|nil=sk1|~spl0_4),
% 0.13/0.36 inference(resolution,[status(thm)],[f328,f512])).
% 0.13/0.36 fof(f585,plain,(
% 0.13/0.36 ~spl0_10|~spl0_11|spl0_7|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f584,f537,f540,f472,f461])).
% 0.13/0.36 fof(f605,plain,(
% 0.13/0.36 spl0_17 <=> ~frontsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f608,plain,(
% 0.13/0.36 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f342,f260])).
% 0.13/0.36 fof(f609,plain,(
% 0.13/0.36 spl0_17|~spl0_8),
% 0.13/0.36 inference(split_clause,[status(thm)],[f608,f605,f524])).
% 0.13/0.36 fof(f611,plain,(
% 0.13/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f492,f286])).
% 0.13/0.36 fof(f615,plain,(
% 0.13/0.36 spl0_18 <=> frontsegP(sk2,sk1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f618,plain,(
% 0.13/0.36 ~ssList(sk5)|~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f510,f611])).
% 0.13/0.36 fof(f619,plain,(
% 0.13/0.36 ~spl0_10|~spl0_11|spl0_18),
% 0.13/0.36 inference(split_clause,[status(thm)],[f618,f537,f540,f615])).
% 0.13/0.36 fof(f623,plain,(
% 0.13/0.36 spl0_19 <=> ~frontsegP(sk1,X0)|~ssList(X0)|frontsegP(sk2,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f624,plain,(
% 0.13/0.36 ![X0]: (~frontsegP(sk1,X0)|~ssList(X0)|frontsegP(sk2,X0)|~spl0_19)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f623])).
% 0.13/0.36 fof(f626,plain,(
% 0.13/0.36 ![X0]: (~frontsegP(sk1,X0)|~ssList(sk5)|~ssList(X0)|~ssList(sk1)|frontsegP(sk2,X0))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f510,f352])).
% 0.13/0.36 fof(f627,plain,(
% 0.13/0.36 spl0_19|~spl0_10|~spl0_11),
% 0.13/0.36 inference(split_clause,[status(thm)],[f626,f623,f537,f540])).
% 0.13/0.36 fof(f628,plain,(
% 0.13/0.36 spl0_20 <=> ~ssList(X0)|app(sk2,X0)=app(sk1,app(sk5,X0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f631,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk1)|app(sk2,X0)=app(sk1,app(sk5,X0)))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f510,f369])).
% 0.13/0.36 fof(f632,plain,(
% 0.13/0.36 spl0_20|~spl0_10|~spl0_11),
% 0.13/0.36 inference(split_clause,[status(thm)],[f631,f628,f537,f540])).
% 0.13/0.36 fof(f633,plain,(
% 0.13/0.36 spl0_21 <=> sk2=sk2),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f636,plain,(
% 0.13/0.37 ~frontsegP(sk2,sk2)|~ssList(sk2)|~ssList(sk2)|sk2=sk2|~spl0_13),
% 0.13/0.37 inference(resolution,[status(thm)],[f549,f342])).
% 0.13/0.37 fof(f637,plain,(
% 0.13/0.37 ~spl0_13|~spl0_12|spl0_21),
% 0.13/0.37 inference(split_clause,[status(thm)],[f636,f548,f545,f633])).
% 0.13/0.37 fof(f659,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk1,X0)|~spl0_19|~spl0_6)),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f469,f624])).
% 0.13/0.37 fof(f660,plain,(
% 0.13/0.37 spl0_26 <=> frontsegP(sk2,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f661,plain,(
% 0.13/0.37 frontsegP(sk2,nil)|~spl0_26),
% 0.13/0.37 inference(component_clause,[status(thm)],[f660])).
% 0.13/0.37 fof(f663,plain,(
% 0.13/0.37 ~ssList(nil)|frontsegP(sk2,nil)|~ssList(sk1)|~spl0_19),
% 0.13/0.37 inference(resolution,[status(thm)],[f624,f260])).
% 0.13/0.37 fof(f664,plain,(
% 0.13/0.37 ~spl0_8|spl0_26|~spl0_11|~spl0_19),
% 0.13/0.37 inference(split_clause,[status(thm)],[f663,f524,f660,f540,f623])).
% 0.13/0.37 fof(f667,plain,(
% 0.13/0.37 spl0_27 <=> frontsegP(nil,sk2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f670,plain,(
% 0.13/0.37 ~frontsegP(nil,sk2)|~ssList(nil)|~ssList(sk2)|sk2=nil|~spl0_26),
% 0.13/0.37 inference(resolution,[status(thm)],[f661,f342])).
% 0.13/0.37 fof(f671,plain,(
% 0.13/0.37 ~spl0_27|~spl0_8|~spl0_12|spl0_4|~spl0_26),
% 0.13/0.37 inference(split_clause,[status(thm)],[f670,f667,f524,f545,f461,f660])).
% 0.13/0.37 fof(f679,plain,(
% 0.13/0.37 spl0_29 <=> ~ssList(X0)|~frontsegP(sk1,X0)|~ssList(X0)|X0=nil),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f680,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk1,X0)|~ssList(X0)|X0=nil|~spl0_29)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f679])).
% 0.13/0.37 fof(f682,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk1,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~spl0_19|~spl0_6)),
% 0.13/0.37 inference(resolution,[status(thm)],[f659,f303])).
% 0.13/0.37 fof(f683,plain,(
% 0.13/0.37 spl0_29|~spl0_8|~spl0_19|~spl0_6),
% 0.13/0.37 inference(split_clause,[status(thm)],[f682,f679,f524,f623,f468])).
% 0.13/0.37 fof(f684,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~frontsegP(sk1,X0)|X0=nil|~spl0_29)),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f680])).
% 0.13/0.37 fof(f687,plain,(
% 0.13/0.37 ~ssList(sk1)|sk1=nil|~ssList(sk1)|~spl0_29),
% 0.13/0.37 inference(resolution,[status(thm)],[f684,f261])).
% 0.13/0.37 fof(f688,plain,(
% 0.13/0.37 ~spl0_11|spl0_7|~spl0_29),
% 0.13/0.37 inference(split_clause,[status(thm)],[f687,f540,f472,f679])).
% 0.13/0.37 fof(f689,plain,(
% 0.13/0.37 $false|spl0_3|~spl0_7),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f473,f511])).
% 0.13/0.37 fof(f690,plain,(
% 0.13/0.37 spl0_3|~spl0_7),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f689])).
% 0.13/0.37 fof(f691,plain,(
% 0.13/0.37 nil=sk2|~spl0_2),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f435,f455])).
% 0.13/0.37 fof(f692,plain,(
% 0.13/0.37 $false|spl0_4|~spl0_2),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f691,f463])).
% 0.13/0.37 fof(f693,plain,(
% 0.13/0.37 spl0_4|~spl0_2),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f692])).
% 0.13/0.37 fof(f694,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f460,f471,f475,f476,f531,f535,f555,f559,f564,f566,f576,f578,f585,f609,f619,f627,f632,f637,f664,f671,f683,f688,f690,f693])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.028932 seconds
% 0.13/0.37 % CPU time: 0.060099 seconds
% 0.13/0.37 % Total memory used: 16.977 MB
% 0.13/0.37 % Net memory used: 16.912 MB
%------------------------------------------------------------------------------