TSTP Solution File: SWC100-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC100-1 : 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 20:44:31 EDT 2024
% Result : Unsatisfiable 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWC100-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n009.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 00:02:55 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.27 fof(f8,axiom,(
% 0.07/0.27 ssList(nil) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f60,axiom,(
% 0.07/0.27 (![U]: (( ~ ssList(U)| frontsegP(U,nil) ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f73,axiom,(
% 0.07/0.27 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f74,axiom,(
% 0.07/0.27 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f84,axiom,(
% 0.07/0.27 (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f85,axiom,(
% 0.07/0.27 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f100,axiom,(
% 0.07/0.27 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f112,axiom,(
% 0.07/0.27 (![U,V]: (( nil != U| ~ ssList(U)| ~ ssItem(V)| strictorderedP(cons(V,U)) ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f118,axiom,(
% 0.07/0.27 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f129,axiom,(
% 0.07/0.27 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f137,axiom,(
% 0.07/0.27 (![U,V,W]: (( ~ frontsegP(U,V)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| frontsegP(app(U,W),V) ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f144,axiom,(
% 0.07/0.27 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f150,axiom,(
% 0.07/0.27 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f151,axiom,(
% 0.07/0.27 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f186,negated_conjecture,(
% 0.07/0.27 ssList(sk1) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f190,negated_conjecture,(
% 0.07/0.27 sk2 = sk4 ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f191,negated_conjecture,(
% 0.07/0.27 sk1 = sk3 ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f192,negated_conjecture,(
% 0.07/0.27 ssList(sk5) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f193,negated_conjecture,(
% 0.07/0.27 app(sk3,sk5) = sk4 ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f196,negated_conjecture,(
% 0.07/0.27 ( nil = sk4| nil != sk3 ) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f197,negated_conjecture,(
% 0.07/0.27 ( nil = sk2| neq(sk2,nil) ) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f198,negated_conjecture,(
% 0.07/0.27 ( nil = sk2| ~ neq(sk1,nil)| ~ frontsegP(sk2,sk1) ) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f199,negated_conjecture,(
% 0.07/0.27 ( nil != sk1| neq(sk2,nil) ) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f200,negated_conjecture,(
% 0.07/0.27 ( nil != sk1| ~ neq(sk1,nil)| ~ frontsegP(sk2,sk1) ) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f208,plain,(
% 0.07/0.27 ssList(nil)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f8])).
% 0.07/0.27 fof(f260,plain,(
% 0.07/0.27 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f60])).
% 0.07/0.27 fof(f274,plain,(
% 0.07/0.27 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f73])).
% 0.07/0.27 fof(f275,plain,(
% 0.07/0.27 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f74])).
% 0.07/0.27 fof(f285,plain,(
% 0.07/0.27 ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f84])).
% 0.07/0.27 fof(f286,plain,(
% 0.07/0.27 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f85])).
% 0.07/0.27 fof(f303,plain,(
% 0.07/0.27 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f100])).
% 0.07/0.27 fof(f317,plain,(
% 0.07/0.27 ![X0,X1]: (~nil=X0|~ssList(X0)|~ssItem(X1)|strictorderedP(cons(X1,X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f112])).
% 0.07/0.27 fof(f327,plain,(
% 0.07/0.27 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f118])).
% 0.07/0.27 fof(f328,plain,(
% 0.07/0.27 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f327])).
% 0.07/0.27 fof(f342,plain,(
% 0.07/0.27 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f129])).
% 0.07/0.27 fof(f352,plain,(
% 0.07/0.27 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|frontsegP(app(X0,X2),X1))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f137])).
% 0.07/0.27 fof(f360,plain,(
% 0.07/0.27 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f144])).
% 0.07/0.27 fof(f361,plain,(
% 0.07/0.27 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f360])).
% 0.07/0.27 fof(f370,plain,(
% 0.07/0.27 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f150])).
% 0.07/0.27 fof(f371,plain,(
% 0.07/0.27 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f370])).
% 0.07/0.27 fof(f372,plain,(
% 0.07/0.27 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f151])).
% 0.07/0.27 fof(f373,plain,(
% 0.07/0.27 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f372])).
% 0.07/0.27 fof(f431,plain,(
% 0.07/0.27 ssList(sk1)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f186])).
% 0.07/0.27 fof(f435,plain,(
% 0.07/0.27 sk2=sk4),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f190])).
% 0.07/0.27 fof(f436,plain,(
% 0.07/0.27 sk1=sk3),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f191])).
% 0.07/0.27 fof(f437,plain,(
% 0.07/0.27 ssList(sk5)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f192])).
% 0.07/0.27 fof(f438,plain,(
% 0.07/0.27 app(sk3,sk5)=sk4),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f193])).
% 0.07/0.27 fof(f442,plain,(
% 0.07/0.27 nil=sk4|~nil=sk3),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f196])).
% 0.07/0.27 fof(f443,plain,(
% 0.07/0.27 nil=sk2|neq(sk2,nil)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f197])).
% 0.07/0.27 fof(f444,plain,(
% 0.07/0.27 nil=sk2|~neq(sk1,nil)|~frontsegP(sk2,sk1)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f198])).
% 0.07/0.27 fof(f445,plain,(
% 0.07/0.27 ~nil=sk1|neq(sk2,nil)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f199])).
% 0.07/0.27 fof(f446,plain,(
% 0.07/0.27 ~nil=sk1|~neq(sk1,nil)|~frontsegP(sk2,sk1)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f200])).
% 0.07/0.27 fof(f454,plain,(
% 0.07/0.27 spl0_2 <=> nil=sk4),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f455,plain,(
% 0.07/0.27 nil=sk4|~spl0_2),
% 0.07/0.27 inference(component_clause,[status(thm)],[f454])).
% 0.07/0.27 fof(f457,plain,(
% 0.07/0.27 spl0_3 <=> nil=sk3),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f459,plain,(
% 0.07/0.27 ~nil=sk3|spl0_3),
% 0.07/0.27 inference(component_clause,[status(thm)],[f457])).
% 0.07/0.27 fof(f460,plain,(
% 0.07/0.27 spl0_2|~spl0_3),
% 0.07/0.27 inference(split_clause,[status(thm)],[f442,f454,f457])).
% 0.07/0.27 fof(f461,plain,(
% 0.07/0.27 spl0_4 <=> nil=sk2),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f464,plain,(
% 0.07/0.27 spl0_5 <=> neq(sk2,nil)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f465,plain,(
% 0.07/0.27 neq(sk2,nil)|~spl0_5),
% 0.07/0.27 inference(component_clause,[status(thm)],[f464])).
% 0.07/0.27 fof(f467,plain,(
% 0.07/0.27 spl0_4|spl0_5),
% 0.07/0.27 inference(split_clause,[status(thm)],[f443,f461,f464])).
% 0.07/0.27 fof(f468,plain,(
% 0.07/0.27 spl0_6 <=> neq(sk1,nil)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f470,plain,(
% 0.07/0.27 ~neq(sk1,nil)|spl0_6),
% 0.07/0.27 inference(component_clause,[status(thm)],[f468])).
% 0.07/0.27 fof(f471,plain,(
% 0.07/0.27 spl0_7 <=> frontsegP(sk2,sk1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f474,plain,(
% 0.07/0.27 spl0_4|~spl0_6|~spl0_7),
% 0.07/0.27 inference(split_clause,[status(thm)],[f444,f461,f468,f471])).
% 0.07/0.27 fof(f475,plain,(
% 0.07/0.27 spl0_8 <=> nil=sk1),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f476,plain,(
% 0.07/0.27 nil=sk1|~spl0_8),
% 0.07/0.27 inference(component_clause,[status(thm)],[f475])).
% 0.07/0.27 fof(f478,plain,(
% 0.07/0.27 ~spl0_8|spl0_5),
% 0.07/0.27 inference(split_clause,[status(thm)],[f445,f475,f464])).
% 0.07/0.27 fof(f479,plain,(
% 0.07/0.27 ~spl0_8|~spl0_6|~spl0_7),
% 0.07/0.27 inference(split_clause,[status(thm)],[f446,f475,f468,f471])).
% 0.07/0.27 fof(f485,plain,(
% 0.07/0.27 ![X0]: (~ssList(nil)|~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 0.07/0.27 inference(destructive_equality_resolution,[status(esa)],[f317])).
% 0.07/0.27 fof(f495,plain,(
% 0.07/0.27 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 0.07/0.27 inference(destructive_equality_resolution,[status(esa)],[f361])).
% 0.07/0.27 fof(f512,plain,(
% 0.07/0.27 ~nil=sk1|spl0_3),
% 0.07/0.27 inference(forward_demodulation,[status(thm)],[f436,f459])).
% 0.07/0.27 fof(f523,plain,(
% 0.07/0.27 app(sk1,sk5)=sk4),
% 0.07/0.27 inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.07/0.27 fof(f526,plain,(
% 0.07/0.27 spl0_9 <=> ssList(nil)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f528,plain,(
% 0.07/0.27 ~ssList(nil)|spl0_9),
% 0.07/0.27 inference(component_clause,[status(thm)],[f526])).
% 0.07/0.27 fof(f529,plain,(
% 0.07/0.27 spl0_10 <=> nil=nil),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f532,plain,(
% 0.07/0.27 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.07/0.27 inference(resolution,[status(thm)],[f285,f260])).
% 0.07/0.27 fof(f533,plain,(
% 0.07/0.27 ~spl0_9|spl0_10),
% 0.07/0.27 inference(split_clause,[status(thm)],[f532,f526,f529])).
% 0.07/0.27 fof(f536,plain,(
% 0.07/0.27 $false|spl0_9),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f528,f208])).
% 0.07/0.27 fof(f537,plain,(
% 0.07/0.27 spl0_9),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f536])).
% 0.07/0.27 fof(f539,plain,(
% 0.07/0.27 spl0_11 <=> ssList(sk5)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f541,plain,(
% 0.07/0.27 ~ssList(sk5)|spl0_11),
% 0.07/0.27 inference(component_clause,[status(thm)],[f539])).
% 0.07/0.27 fof(f542,plain,(
% 0.07/0.27 spl0_12 <=> ssList(sk1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f544,plain,(
% 0.07/0.27 ~ssList(sk1)|spl0_12),
% 0.07/0.27 inference(component_clause,[status(thm)],[f542])).
% 0.07/0.27 fof(f547,plain,(
% 0.07/0.27 $false|spl0_12),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f544,f431])).
% 0.07/0.27 fof(f548,plain,(
% 0.07/0.27 spl0_12),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f547])).
% 0.07/0.27 fof(f549,plain,(
% 0.07/0.27 $false|spl0_11),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f541,f437])).
% 0.07/0.27 fof(f550,plain,(
% 0.07/0.27 spl0_11),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f549])).
% 0.07/0.27 fof(f552,plain,(
% 0.07/0.27 app(sk1,sk5)=sk2),
% 0.07/0.27 inference(forward_demodulation,[status(thm)],[f435,f523])).
% 0.07/0.27 fof(f558,plain,(
% 0.07/0.27 spl0_14 <=> ssList(sk2)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f561,plain,(
% 0.07/0.27 ~ssList(sk5)|~ssList(sk1)|ssList(sk2)),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f552,f286])).
% 0.07/0.27 fof(f562,plain,(
% 0.07/0.27 ~spl0_11|~spl0_12|spl0_14),
% 0.07/0.27 inference(split_clause,[status(thm)],[f561,f539,f542,f558])).
% 0.07/0.27 fof(f578,plain,(
% 0.07/0.27 ~sk2=nil|~ssList(sk5)|~ssList(sk1)|nil=sk1),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f552,f328])).
% 0.07/0.27 fof(f579,plain,(
% 0.07/0.27 ~spl0_4|~spl0_11|~spl0_12|spl0_8),
% 0.07/0.27 inference(split_clause,[status(thm)],[f578,f461,f539,f542,f475])).
% 0.07/0.27 fof(f580,plain,(
% 0.07/0.27 $false|spl0_3|~spl0_8),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f476,f512])).
% 0.07/0.27 fof(f581,plain,(
% 0.07/0.27 spl0_3|~spl0_8),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f580])).
% 0.07/0.27 fof(f582,plain,(
% 0.07/0.27 nil=sk2|~spl0_2),
% 0.07/0.27 inference(forward_demodulation,[status(thm)],[f435,f455])).
% 0.07/0.27 fof(f594,plain,(
% 0.07/0.27 spl0_16 <=> ~frontsegP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f597,plain,(
% 0.07/0.27 ![X0]: (~frontsegP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.07/0.27 inference(resolution,[status(thm)],[f342,f260])).
% 0.07/0.27 fof(f598,plain,(
% 0.07/0.27 spl0_16|~spl0_9),
% 0.07/0.27 inference(split_clause,[status(thm)],[f597,f594,f526])).
% 0.07/0.27 fof(f607,plain,(
% 0.07/0.27 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f495,f286])).
% 0.07/0.27 fof(f611,plain,(
% 0.07/0.27 ~ssList(sk5)|~ssList(sk1)|frontsegP(sk2,sk1)),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f552,f607])).
% 0.07/0.27 fof(f612,plain,(
% 0.07/0.27 ~spl0_11|~spl0_12|spl0_7),
% 0.07/0.27 inference(split_clause,[status(thm)],[f611,f539,f542,f471])).
% 0.07/0.27 fof(f623,plain,(
% 0.07/0.27 spl0_20 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f626,plain,(
% 0.07/0.27 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.07/0.27 inference(resolution,[status(thm)],[f371,f275])).
% 0.07/0.27 fof(f627,plain,(
% 0.07/0.27 spl0_20|~spl0_9),
% 0.07/0.27 inference(split_clause,[status(thm)],[f626,f623,f526])).
% 0.07/0.27 fof(f630,plain,(
% 0.07/0.27 spl0_21 <=> ~sk2=app(sk1,X0)|~ssList(X0)|sk5=X0),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f633,plain,(
% 0.07/0.27 ![X0]: (~sk2=app(sk1,X0)|~ssList(sk5)|~ssList(sk1)|~ssList(X0)|sk5=X0)),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f552,f371])).
% 0.07/0.27 fof(f634,plain,(
% 0.07/0.27 spl0_21|~spl0_11|~spl0_12),
% 0.07/0.27 inference(split_clause,[status(thm)],[f633,f630,f539,f542])).
% 0.07/0.27 fof(f646,plain,(
% 0.07/0.27 spl0_24 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f649,plain,(
% 0.07/0.27 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.07/0.27 inference(resolution,[status(thm)],[f373,f274])).
% 0.07/0.27 fof(f650,plain,(
% 0.07/0.27 spl0_24|~spl0_9),
% 0.07/0.27 inference(split_clause,[status(thm)],[f649,f646,f526])).
% 0.07/0.27 fof(f653,plain,(
% 0.07/0.27 spl0_25 <=> ~sk2=app(X0,sk5)|~ssList(X0)|sk1=X0),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f656,plain,(
% 0.07/0.28 ![X0]: (~sk2=app(X0,sk5)|~ssList(sk1)|~ssList(sk5)|~ssList(X0)|sk1=X0)),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f552,f373])).
% 0.07/0.28 fof(f657,plain,(
% 0.07/0.28 spl0_25|~spl0_12|~spl0_11),
% 0.07/0.28 inference(split_clause,[status(thm)],[f656,f653,f542,f539])).
% 0.07/0.28 fof(f668,plain,(
% 0.07/0.28 spl0_26 <=> ~frontsegP(sk1,X0)|~ssList(X0)|frontsegP(sk2,X0)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f671,plain,(
% 0.07/0.28 ![X0]: (~frontsegP(sk1,X0)|~ssList(sk5)|~ssList(X0)|~ssList(sk1)|frontsegP(sk2,X0))),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f552,f352])).
% 0.07/0.28 fof(f672,plain,(
% 0.07/0.28 spl0_26|~spl0_11|~spl0_12),
% 0.07/0.28 inference(split_clause,[status(thm)],[f671,f668,f539,f542])).
% 0.07/0.28 fof(f684,plain,(
% 0.07/0.28 neq(nil,nil)|~spl0_2|~spl0_5),
% 0.07/0.28 inference(backward_demodulation,[status(thm)],[f582,f465])).
% 0.07/0.28 fof(f687,plain,(
% 0.07/0.28 spl0_28 <=> ~ssItem(X0)|strictorderedP(cons(X0,nil))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f690,plain,(
% 0.07/0.28 ~spl0_9|spl0_28),
% 0.07/0.28 inference(split_clause,[status(thm)],[f485,f526,f687])).
% 0.07/0.28 fof(f693,plain,(
% 0.07/0.28 ~ssList(nil)|~ssList(sk1)|sk1=nil|spl0_6),
% 0.07/0.28 inference(resolution,[status(thm)],[f470,f303])).
% 0.07/0.28 fof(f694,plain,(
% 0.07/0.28 ~spl0_9|~spl0_12|spl0_8|spl0_6),
% 0.07/0.28 inference(split_clause,[status(thm)],[f693,f526,f542,f475,f468])).
% 0.07/0.28 fof(f695,plain,(
% 0.07/0.28 ~neq(nil,nil)|~spl0_8|spl0_6),
% 0.07/0.28 inference(backward_demodulation,[status(thm)],[f476,f470])).
% 0.07/0.28 fof(f718,plain,(
% 0.07/0.28 $false|~spl0_2|~spl0_5|~spl0_8|spl0_6),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f695,f684])).
% 0.07/0.28 fof(f719,plain,(
% 0.07/0.28 ~spl0_2|~spl0_5|~spl0_8|spl0_6),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f718])).
% 0.07/0.28 fof(f720,plain,(
% 0.07/0.28 $false),
% 0.07/0.28 inference(sat_refutation,[status(thm)],[f460,f467,f474,f478,f479,f533,f537,f548,f550,f562,f579,f581,f598,f612,f627,f634,f650,f657,f672,f690,f694,f719])).
% 0.07/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.28 % Elapsed time: 0.016341 seconds
% 0.07/0.28 % CPU time: 0.036001 seconds
% 0.07/0.28 % Total memory used: 16.670 MB
% 0.07/0.28 % Net memory used: 16.616 MB
%------------------------------------------------------------------------------