TSTP Solution File: SWC090-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC090-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:44:28 EDT 2024
% Result : Unsatisfiable 4.36s 1.00s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC090-1 : 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 : n018.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:54:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 4.36/1.00 % Refutation found
% 4.36/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.36/1.00 % SZS output start CNFRefutation for theBenchmark
% 4.36/1.00 fof(f8,axiom,(
% 4.36/1.00 ssList(nil) ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f50,axiom,(
% 4.36/1.00 (![U,V]: (ssList(skaf46(U,V)) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f57,axiom,(
% 4.36/1.00 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f59,axiom,(
% 4.36/1.00 (![U]: (( ~ ssList(U)| rearsegP(U,U) ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f73,axiom,(
% 4.36/1.00 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f74,axiom,(
% 4.36/1.00 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f100,axiom,(
% 4.36/1.00 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f131,axiom,(
% 4.36/1.00 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f151,axiom,(
% 4.36/1.00 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f152,axiom,(
% 4.36/1.00 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f173,axiom,(
% 4.36/1.00 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f186,negated_conjecture,(
% 4.36/1.00 ssList(sk1) ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f187,negated_conjecture,(
% 4.36/1.00 ssList(sk2) ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f190,negated_conjecture,(
% 4.36/1.00 sk2 = sk4 ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f191,negated_conjecture,(
% 4.36/1.00 sk1 = sk3 ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f192,negated_conjecture,(
% 4.36/1.00 neq(sk2,nil) ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f193,negated_conjecture,(
% 4.36/1.00 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f194,negated_conjecture,(
% 4.36/1.00 ssList(sk5) ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f195,negated_conjecture,(
% 4.36/1.00 ssList(sk6) ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f196,negated_conjecture,(
% 4.36/1.00 app(sk5,sk6) = sk4 ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f197,negated_conjecture,(
% 4.36/1.00 app(sk6,sk5) = sk3 ),
% 4.36/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.36/1.00 fof(f205,plain,(
% 4.36/1.00 ssList(nil)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f8])).
% 4.36/1.00 fof(f247,plain,(
% 4.36/1.00 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f50])).
% 4.36/1.00 fof(f254,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f57])).
% 4.36/1.00 fof(f256,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f59])).
% 4.36/1.00 fof(f271,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f73])).
% 4.36/1.00 fof(f272,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f74])).
% 4.36/1.00 fof(f300,plain,(
% 4.36/1.00 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f100])).
% 4.36/1.00 fof(f341,plain,(
% 4.36/1.00 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f131])).
% 4.36/1.00 fof(f369,plain,(
% 4.36/1.00 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 4.36/1.00 inference(miniscoping,[status(esa)],[f151])).
% 4.36/1.00 fof(f370,plain,(
% 4.36/1.00 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f369])).
% 4.36/1.00 fof(f371,plain,(
% 4.36/1.00 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 4.36/1.00 inference(miniscoping,[status(esa)],[f152])).
% 4.36/1.00 fof(f372,plain,(
% 4.36/1.00 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f371])).
% 4.36/1.00 fof(f403,plain,(
% 4.36/1.00 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 4.36/1.00 inference(miniscoping,[status(esa)],[f173])).
% 4.36/1.00 fof(f404,plain,(
% 4.36/1.00 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f403])).
% 4.36/1.00 fof(f428,plain,(
% 4.36/1.00 ssList(sk1)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f186])).
% 4.36/1.00 fof(f429,plain,(
% 4.36/1.00 ssList(sk2)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f187])).
% 4.36/1.00 fof(f432,plain,(
% 4.36/1.00 sk2=sk4),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f190])).
% 4.36/1.00 fof(f433,plain,(
% 4.36/1.00 sk1=sk3),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f191])).
% 4.36/1.00 fof(f434,plain,(
% 4.36/1.00 neq(sk2,nil)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f192])).
% 4.36/1.00 fof(f435,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f193])).
% 4.36/1.00 fof(f436,plain,(
% 4.36/1.00 ssList(sk5)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f194])).
% 4.36/1.00 fof(f437,plain,(
% 4.36/1.00 ssList(sk6)),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f195])).
% 4.36/1.00 fof(f438,plain,(
% 4.36/1.00 app(sk5,sk6)=sk4),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f196])).
% 4.36/1.00 fof(f439,plain,(
% 4.36/1.00 app(sk6,sk5)=sk3),
% 4.36/1.00 inference(cnf_transformation,[status(esa)],[f197])).
% 4.36/1.00 fof(f465,plain,(
% 4.36/1.00 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 4.36/1.00 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 4.36/1.00 fof(f481,plain,(
% 4.36/1.00 segmentP(sk2,sk2)),
% 4.36/1.00 inference(resolution,[status(thm)],[f254,f429])).
% 4.36/1.00 fof(f482,plain,(
% 4.36/1.00 segmentP(sk1,sk1)),
% 4.36/1.00 inference(resolution,[status(thm)],[f254,f428])).
% 4.36/1.00 fof(f488,plain,(
% 4.36/1.00 app(sk6,nil)=sk6),
% 4.36/1.00 inference(resolution,[status(thm)],[f271,f437])).
% 4.36/1.00 fof(f492,plain,(
% 4.36/1.00 app(sk1,nil)=sk1),
% 4.36/1.00 inference(resolution,[status(thm)],[f271,f428])).
% 4.36/1.00 fof(f524,plain,(
% 4.36/1.00 app(sk5,sk6)=sk2),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f432,f438])).
% 4.36/1.00 fof(f525,plain,(
% 4.36/1.00 app(sk6,sk5)=sk1),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f433,f439])).
% 4.36/1.00 fof(f526,plain,(
% 4.36/1.00 spl0_2 <=> ssList(sk2)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f528,plain,(
% 4.36/1.00 ~ssList(sk2)|spl0_2),
% 4.36/1.00 inference(component_clause,[status(thm)],[f526])).
% 4.36/1.00 fof(f529,plain,(
% 4.36/1.00 spl0_3 <=> segmentP(sk2,sk2)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f531,plain,(
% 4.36/1.00 ~segmentP(sk2,sk2)|spl0_3),
% 4.36/1.00 inference(component_clause,[status(thm)],[f529])).
% 4.36/1.00 fof(f532,plain,(
% 4.36/1.00 spl0_4 <=> segmentP(sk1,sk2)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f534,plain,(
% 4.36/1.00 ~segmentP(sk1,sk2)|spl0_4),
% 4.36/1.00 inference(component_clause,[status(thm)],[f532])).
% 4.36/1.00 fof(f535,plain,(
% 4.36/1.00 ~ssList(sk2)|~segmentP(sk2,sk2)|~segmentP(sk1,sk2)),
% 4.36/1.00 inference(resolution,[status(thm)],[f435,f434])).
% 4.36/1.00 fof(f536,plain,(
% 4.36/1.00 ~spl0_2|~spl0_3|~spl0_4),
% 4.36/1.00 inference(split_clause,[status(thm)],[f535,f526,f529,f532])).
% 4.36/1.00 fof(f543,plain,(
% 4.36/1.00 app(nil,sk6)=sk6),
% 4.36/1.00 inference(resolution,[status(thm)],[f272,f437])).
% 4.36/1.00 fof(f544,plain,(
% 4.36/1.00 app(nil,sk5)=sk5),
% 4.36/1.00 inference(resolution,[status(thm)],[f272,f436])).
% 4.36/1.00 fof(f548,plain,(
% 4.36/1.00 spl0_5 <=> ssList(nil)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f550,plain,(
% 4.36/1.00 ~ssList(nil)|spl0_5),
% 4.36/1.00 inference(component_clause,[status(thm)],[f548])).
% 4.36/1.00 fof(f556,plain,(
% 4.36/1.00 $false|spl0_5),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f550,f205])).
% 4.36/1.00 fof(f557,plain,(
% 4.36/1.00 spl0_5),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f556])).
% 4.36/1.00 fof(f677,plain,(
% 4.36/1.00 ![X0,X1,X2]: (~ssList(X0)|neq(X0,skaf46(X1,X2))|X0=skaf46(X1,X2))),
% 4.36/1.00 inference(resolution,[status(thm)],[f300,f247])).
% 4.36/1.00 fof(f690,plain,(
% 4.36/1.00 spl0_8 <=> ssList(sk1)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f692,plain,(
% 4.36/1.00 ~ssList(sk1)|spl0_8),
% 4.36/1.00 inference(component_clause,[status(thm)],[f690])).
% 4.36/1.00 fof(f700,plain,(
% 4.36/1.00 spl0_10 <=> sk5=nil),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f701,plain,(
% 4.36/1.00 sk5=nil|~spl0_10),
% 4.36/1.00 inference(component_clause,[status(thm)],[f700])).
% 4.36/1.00 fof(f702,plain,(
% 4.36/1.00 ~sk5=nil|spl0_10),
% 4.36/1.00 inference(component_clause,[status(thm)],[f700])).
% 4.36/1.00 fof(f703,plain,(
% 4.36/1.00 spl0_11 <=> ssList(sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f705,plain,(
% 4.36/1.00 ~ssList(sk5)|spl0_11),
% 4.36/1.00 inference(component_clause,[status(thm)],[f703])).
% 4.36/1.00 fof(f711,plain,(
% 4.36/1.00 spl0_13 <=> ssList(sk6)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f713,plain,(
% 4.36/1.00 ~ssList(sk6)|spl0_13),
% 4.36/1.00 inference(component_clause,[status(thm)],[f711])).
% 4.36/1.00 fof(f730,plain,(
% 4.36/1.00 $false|spl0_8),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f692,f428])).
% 4.36/1.00 fof(f731,plain,(
% 4.36/1.00 spl0_8),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f730])).
% 4.36/1.00 fof(f732,plain,(
% 4.36/1.00 $false|spl0_3),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f531,f481])).
% 4.36/1.00 fof(f733,plain,(
% 4.36/1.00 spl0_3),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f732])).
% 4.36/1.00 fof(f742,plain,(
% 4.36/1.00 rearsegP(sk6,sk6)),
% 4.36/1.00 inference(resolution,[status(thm)],[f256,f437])).
% 4.36/1.00 fof(f1004,plain,(
% 4.36/1.00 $false|spl0_2),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f528,f429])).
% 4.36/1.00 fof(f1005,plain,(
% 4.36/1.00 spl0_2),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f1004])).
% 4.36/1.00 fof(f1175,plain,(
% 4.36/1.00 app(nil,sk6)=sk2|~spl0_10),
% 4.36/1.00 inference(backward_demodulation,[status(thm)],[f701,f524])).
% 4.36/1.00 fof(f1176,plain,(
% 4.36/1.00 sk6=sk2|~spl0_10),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f543,f1175])).
% 4.36/1.00 fof(f1179,plain,(
% 4.36/1.00 app(sk6,nil)=sk1|~spl0_10),
% 4.36/1.00 inference(backward_demodulation,[status(thm)],[f701,f525])).
% 4.36/1.00 fof(f1180,plain,(
% 4.36/1.00 sk6=sk1|~spl0_10),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f488,f1179])).
% 4.36/1.00 fof(f1309,plain,(
% 4.36/1.00 $false|spl0_13),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f713,f437])).
% 4.36/1.00 fof(f1310,plain,(
% 4.36/1.00 spl0_13),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f1309])).
% 4.36/1.00 fof(f1393,plain,(
% 4.36/1.00 spl0_62 <=> segmentP(sk1,sk1)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f1395,plain,(
% 4.36/1.00 ~segmentP(sk1,sk1)|spl0_62),
% 4.36/1.00 inference(component_clause,[status(thm)],[f1393])).
% 4.36/1.00 fof(f1406,plain,(
% 4.36/1.00 $false|spl0_62),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f1395,f482])).
% 4.36/1.00 fof(f1407,plain,(
% 4.36/1.00 spl0_62),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f1406])).
% 4.36/1.00 fof(f1736,plain,(
% 4.36/1.00 $false|spl0_11),
% 4.36/1.00 inference(forward_subsumption_resolution,[status(thm)],[f705,f436])).
% 4.36/1.00 fof(f1737,plain,(
% 4.36/1.00 spl0_11),
% 4.36/1.00 inference(contradiction_clause,[status(thm)],[f1736])).
% 4.36/1.00 fof(f1908,plain,(
% 4.36/1.00 sk1=sk2|~spl0_10),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f1180,f1176])).
% 4.36/1.00 fof(f1919,plain,(
% 4.36/1.00 ~segmentP(sk1,sk1)|~spl0_10|spl0_4),
% 4.36/1.00 inference(backward_demodulation,[status(thm)],[f1908,f534])).
% 4.36/1.00 fof(f1920,plain,(
% 4.36/1.00 ~spl0_62|~spl0_10|spl0_4),
% 4.36/1.00 inference(split_clause,[status(thm)],[f1919,f1393,f700,f532])).
% 4.36/1.00 fof(f2202,plain,(
% 4.36/1.00 spl0_99 <=> ~app(X0,sk6)=sk6|~ssList(X0)|X0=nil),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f2203,plain,(
% 4.36/1.00 ![X0]: (~app(X0,sk6)=sk6|~ssList(X0)|X0=nil|~spl0_99)),
% 4.36/1.00 inference(component_clause,[status(thm)],[f2202])).
% 4.36/1.00 fof(f2205,plain,(
% 4.36/1.00 ![X0]: (~app(X0,sk6)=sk6|~ssList(X0)|~ssList(sk6)|~ssList(nil)|X0=nil)),
% 4.36/1.00 inference(paramodulation,[status(thm)],[f543,f370])).
% 4.36/1.00 fof(f2206,plain,(
% 4.36/1.00 spl0_99|~spl0_13|~spl0_5),
% 4.36/1.00 inference(split_clause,[status(thm)],[f2205,f2202,f711,f548])).
% 4.36/1.00 fof(f3234,plain,(
% 4.36/1.00 spl0_125 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(sk6,sk5),X0),sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f3235,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(sk6,sk5),X0),sk5)|~spl0_125)),
% 4.36/1.00 inference(component_clause,[status(thm)],[f3234])).
% 4.36/1.00 fof(f3237,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~ssList(sk6)|~ssList(sk5)|~ssList(app(sk1,X0))|segmentP(app(app(sk6,sk5),X0),sk5))),
% 4.36/1.00 inference(paramodulation,[status(thm)],[f525,f465])).
% 4.36/1.00 fof(f3238,plain,(
% 4.36/1.00 spl0_125|~spl0_13|~spl0_11),
% 4.36/1.00 inference(split_clause,[status(thm)],[f3237,f3234,f711,f703])).
% 4.36/1.00 fof(f3259,plain,(
% 4.36/1.00 spl0_130 <=> ~ssList(X0)|~ssList(app(sk5,X0))|segmentP(app(app(nil,sk5),X0),sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f3260,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~ssList(app(sk5,X0))|segmentP(app(app(nil,sk5),X0),sk5)|~spl0_130)),
% 4.36/1.00 inference(component_clause,[status(thm)],[f3259])).
% 4.36/1.00 fof(f3262,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk5)|~ssList(app(sk5,X0))|segmentP(app(app(nil,sk5),X0),sk5))),
% 4.36/1.00 inference(paramodulation,[status(thm)],[f544,f465])).
% 4.36/1.00 fof(f3263,plain,(
% 4.36/1.00 spl0_130|~spl0_5|~spl0_11),
% 4.36/1.00 inference(split_clause,[status(thm)],[f3262,f3259,f548,f703])).
% 4.36/1.00 fof(f3288,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~ssList(app(sk5,X0))|segmentP(app(sk5,X0),sk5)|~spl0_130)),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f544,f3260])).
% 4.36/1.00 fof(f3293,plain,(
% 4.36/1.00 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk5)|~spl0_125)),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f525,f3235])).
% 4.36/1.00 fof(f3565,plain,(
% 4.36/1.00 spl0_140 <=> segmentP(app(sk1,nil),sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f3566,plain,(
% 4.36/1.00 segmentP(app(sk1,nil),sk5)|~spl0_140),
% 4.36/1.00 inference(component_clause,[status(thm)],[f3565])).
% 4.36/1.00 fof(f3568,plain,(
% 4.36/1.00 ~ssList(nil)|~ssList(sk1)|segmentP(app(sk1,nil),sk5)|~spl0_125),
% 4.36/1.00 inference(paramodulation,[status(thm)],[f492,f3293])).
% 4.36/1.00 fof(f3569,plain,(
% 4.36/1.00 ~spl0_5|~spl0_8|spl0_140|~spl0_125),
% 4.36/1.00 inference(split_clause,[status(thm)],[f3568,f548,f690,f3565,f3234])).
% 4.36/1.00 fof(f3570,plain,(
% 4.36/1.00 segmentP(sk1,sk5)|~spl0_140),
% 4.36/1.00 inference(forward_demodulation,[status(thm)],[f492,f3566])).
% 4.36/1.00 fof(f3576,plain,(
% 4.36/1.00 spl0_142 <=> ~segmentP(X0,sk1)|~ssList(X0)|segmentP(X0,sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f3577,plain,(
% 4.36/1.00 ![X0]: (~segmentP(X0,sk1)|~ssList(X0)|segmentP(X0,sk5)|~spl0_142)),
% 4.36/1.00 inference(component_clause,[status(thm)],[f3576])).
% 4.36/1.00 fof(f3579,plain,(
% 4.36/1.00 ![X0]: (~segmentP(X0,sk1)|~ssList(sk5)|~ssList(sk1)|~ssList(X0)|segmentP(X0,sk5)|~spl0_140)),
% 4.36/1.00 inference(resolution,[status(thm)],[f3570,f372])).
% 4.36/1.00 fof(f3580,plain,(
% 4.36/1.00 spl0_142|~spl0_11|~spl0_8|~spl0_140),
% 4.36/1.00 inference(split_clause,[status(thm)],[f3579,f3576,f703,f690,f3565])).
% 4.36/1.00 fof(f3606,plain,(
% 4.36/1.00 spl0_144 <=> segmentP(sk1,sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f3609,plain,(
% 4.36/1.00 ~ssList(sk1)|segmentP(sk1,sk5)|~spl0_142),
% 4.36/1.00 inference(resolution,[status(thm)],[f3577,f482])).
% 4.36/1.00 fof(f3610,plain,(
% 4.36/1.00 ~spl0_8|spl0_144|~spl0_142),
% 4.36/1.00 inference(split_clause,[status(thm)],[f3609,f690,f3606,f3576])).
% 4.36/1.00 fof(f4871,plain,(
% 4.36/1.00 ![X0,X1]: (neq(sk5,skaf46(X0,X1))|sk5=skaf46(X0,X1))),
% 4.36/1.00 inference(resolution,[status(thm)],[f677,f436])).
% 4.36/1.00 fof(f5856,plain,(
% 4.36/1.00 spl0_324 <=> app(skaf46(sk6,sk6),sk6)=sk6),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f5857,plain,(
% 4.36/1.00 app(skaf46(sk6,sk6),sk6)=sk6|~spl0_324),
% 4.36/1.00 inference(component_clause,[status(thm)],[f5856])).
% 4.36/1.00 fof(f5859,plain,(
% 4.36/1.00 ~ssList(sk6)|~ssList(sk6)|app(skaf46(sk6,sk6),sk6)=sk6),
% 4.36/1.00 inference(resolution,[status(thm)],[f341,f742])).
% 4.36/1.00 fof(f5860,plain,(
% 4.36/1.00 ~spl0_13|spl0_324),
% 4.36/1.00 inference(split_clause,[status(thm)],[f5859,f711,f5856])).
% 4.36/1.00 fof(f6661,plain,(
% 4.36/1.00 spl0_344 <=> segmentP(sk2,sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f6743,plain,(
% 4.36/1.00 spl0_350 <=> segmentP(app(sk5,sk6),sk5)),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f6744,plain,(
% 4.36/1.00 segmentP(app(sk5,sk6),sk5)|~spl0_350),
% 4.36/1.00 inference(component_clause,[status(thm)],[f6743])).
% 4.36/1.00 fof(f6746,plain,(
% 4.36/1.00 ~ssList(sk6)|~ssList(sk2)|segmentP(app(sk5,sk6),sk5)|~spl0_130),
% 4.36/1.00 inference(paramodulation,[status(thm)],[f524,f3288])).
% 4.36/1.00 fof(f6747,plain,(
% 4.36/1.00 ~spl0_13|~spl0_2|spl0_350|~spl0_130),
% 4.36/1.00 inference(split_clause,[status(thm)],[f6746,f711,f526,f6743,f3259])).
% 4.36/1.00 fof(f8580,plain,(
% 4.36/1.00 spl0_442 <=> ssList(skaf46(sk6,sk6))),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f8582,plain,(
% 4.36/1.00 ~ssList(skaf46(sk6,sk6))|spl0_442),
% 4.36/1.00 inference(component_clause,[status(thm)],[f8580])).
% 4.36/1.00 fof(f8583,plain,(
% 4.36/1.00 spl0_443 <=> skaf46(sk6,sk6)=nil),
% 4.36/1.00 introduced(split_symbol_definition)).
% 4.36/1.00 fof(f8584,plain,(
% 4.36/1.00 skaf46(sk6,sk6)=nil|~spl0_443),
% 4.36/1.00 inference(component_clause,[status(thm)],[f8583])).
% 4.36/1.00 fof(f8586,plain,(
% 4.36/1.00 ~ssList(skaf46(sk6,sk6))|skaf46(sk6,sk6)=nil|~spl0_324|~spl0_99),
% 4.36/1.00 inference(resolution,[status(thm)],[f5857,f2203])).
% 4.36/1.00 fof(f8587,plain,(
% 4.36/1.00 ~spl0_442|spl0_443|~spl0_324|~spl0_99),
% 4.36/1.00 inference(split_clause,[status(thm)],[f8586,f8580,f8583,f5856,f2202])).
% 4.36/1.01 fof(f8595,plain,(
% 4.36/1.01 spl0_445 <=> skaf46(sk6,sk6)=sk5),
% 4.36/1.01 introduced(split_symbol_definition)).
% 4.36/1.01 fof(f8596,plain,(
% 4.36/1.01 skaf46(sk6,sk6)=sk5|~spl0_445),
% 4.36/1.01 inference(component_clause,[status(thm)],[f8595])).
% 4.36/1.01 fof(f8623,plain,(
% 4.36/1.01 $false|spl0_442),
% 4.36/1.01 inference(forward_subsumption_resolution,[status(thm)],[f8582,f247])).
% 4.36/1.01 fof(f8624,plain,(
% 4.36/1.01 spl0_442),
% 4.36/1.01 inference(contradiction_clause,[status(thm)],[f8623])).
% 4.36/1.01 fof(f8679,plain,(
% 4.36/1.01 spl0_454 <=> neq(sk5,nil)),
% 4.36/1.01 introduced(split_symbol_definition)).
% 4.36/1.01 fof(f8680,plain,(
% 4.36/1.01 neq(sk5,nil)|~spl0_454),
% 4.36/1.01 inference(component_clause,[status(thm)],[f8679])).
% 4.36/1.01 fof(f8682,plain,(
% 4.36/1.01 neq(sk5,nil)|sk5=skaf46(sk6,sk6)|~spl0_443),
% 4.36/1.01 inference(paramodulation,[status(thm)],[f8584,f4871])).
% 4.36/1.01 fof(f8683,plain,(
% 4.36/1.01 spl0_454|spl0_445|~spl0_443),
% 4.36/1.01 inference(split_clause,[status(thm)],[f8682,f8679,f8595,f8583])).
% 4.36/1.01 fof(f8707,plain,(
% 4.36/1.01 nil=sk5|~spl0_443|~spl0_445),
% 4.36/1.01 inference(forward_demodulation,[status(thm)],[f8584,f8596])).
% 4.36/1.01 fof(f8708,plain,(
% 4.36/1.01 $false|spl0_10|~spl0_443|~spl0_445),
% 4.36/1.01 inference(forward_subsumption_resolution,[status(thm)],[f8707,f702])).
% 4.36/1.01 fof(f8709,plain,(
% 4.36/1.01 spl0_10|~spl0_443|~spl0_445),
% 4.36/1.01 inference(contradiction_clause,[status(thm)],[f8708])).
% 4.36/1.01 fof(f8832,plain,(
% 4.36/1.01 ~ssList(sk5)|~segmentP(sk2,sk5)|~segmentP(sk1,sk5)|~spl0_454),
% 4.36/1.01 inference(resolution,[status(thm)],[f8680,f435])).
% 4.36/1.01 fof(f8833,plain,(
% 4.36/1.01 ~spl0_11|~spl0_344|~spl0_144|~spl0_454),
% 4.36/1.01 inference(split_clause,[status(thm)],[f8832,f703,f6661,f3606,f8679])).
% 4.36/1.01 fof(f8834,plain,(
% 4.36/1.01 segmentP(sk2,sk5)|~spl0_350),
% 4.36/1.01 inference(forward_demodulation,[status(thm)],[f524,f6744])).
% 4.36/1.01 fof(f8835,plain,(
% 4.36/1.01 spl0_344|~spl0_350),
% 4.36/1.01 inference(split_clause,[status(thm)],[f8834,f6661,f6743])).
% 4.36/1.01 fof(f8836,plain,(
% 4.36/1.01 $false),
% 4.36/1.01 inference(sat_refutation,[status(thm)],[f536,f557,f731,f733,f1005,f1310,f1407,f1737,f1920,f2206,f3238,f3263,f3569,f3580,f3610,f5860,f6747,f8587,f8624,f8683,f8709,f8833,f8835])).
% 4.36/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 5.03/1.02 % Elapsed time: 0.668834 seconds
% 5.03/1.02 % CPU time: 5.040906 seconds
% 5.03/1.02 % Total memory used: 123.052 MB
% 5.03/1.02 % Net memory used: 120.047 MB
%------------------------------------------------------------------------------