TSTP Solution File: SWC378-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC378-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:45:34 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC378-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:33:44 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f8,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f73,axiom,(
% 0.15/0.33 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f74,axiom,(
% 0.15/0.33 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f85,axiom,(
% 0.15/0.33 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f140,axiom,(
% 0.15/0.33 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f141,axiom,(
% 0.15/0.33 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f149,axiom,(
% 0.15/0.33 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f150,axiom,(
% 0.15/0.33 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f151,axiom,(
% 0.15/0.33 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f158,axiom,(
% 0.15/0.33 (![U,V,W]: (( ~ memberP(app(U,V),W)| ~ ssList(V)| ~ ssList(U)| ~ ssItem(W)| memberP(V,W)| memberP(U,W) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f190,negated_conjecture,(
% 0.15/0.33 sk2 = sk4 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f191,negated_conjecture,(
% 0.15/0.33 sk1 = sk3 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f192,negated_conjecture,(
% 0.15/0.33 ssList(sk5) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f193,negated_conjecture,(
% 0.15/0.33 ssList(sk6) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f194,negated_conjecture,(
% 0.15/0.33 app(sk5,sk6) = sk4 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f195,negated_conjecture,(
% 0.15/0.33 app(sk6,sk5) = sk3 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f196,negated_conjecture,(
% 0.15/0.33 ssItem(sk7) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f197,negated_conjecture,(
% 0.15/0.33 ( memberP(sk2,sk7)| memberP(sk1,sk7) ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f198,negated_conjecture,(
% 0.15/0.33 ( ~ memberP(sk2,sk7)| ~ memberP(sk1,sk7) ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f206,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.33 fof(f272,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.33 fof(f273,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.33 fof(f284,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.33 fof(f353,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f140])).
% 0.15/0.33 fof(f354,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f141])).
% 0.15/0.33 fof(f367,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f149])).
% 0.15/0.33 fof(f368,plain,(
% 0.15/0.33 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f150])).
% 0.15/0.33 fof(f369,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f368])).
% 0.15/0.33 fof(f370,plain,(
% 0.15/0.33 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f151])).
% 0.15/0.34 fof(f371,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f370])).
% 0.15/0.34 fof(f383,plain,(
% 0.15/0.34 ![U,W]: ((![V]: ((((~memberP(app(U,V),W)|~ssList(V))|~ssList(U))|~ssItem(W))|memberP(V,W)))|memberP(U,W))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f158])).
% 0.15/0.34 fof(f384,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~memberP(app(X0,X1),X2)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|memberP(X1,X2)|memberP(X0,X2))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f383])).
% 0.15/0.34 fof(f433,plain,(
% 0.15/0.34 sk2=sk4),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.34 fof(f434,plain,(
% 0.15/0.34 sk1=sk3),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.34 fof(f435,plain,(
% 0.15/0.34 ssList(sk5)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.34 fof(f436,plain,(
% 0.15/0.34 ssList(sk6)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.34 fof(f437,plain,(
% 0.15/0.34 app(sk5,sk6)=sk4),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.34 fof(f438,plain,(
% 0.15/0.34 app(sk6,sk5)=sk3),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.34 fof(f439,plain,(
% 0.15/0.34 ssItem(sk7)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.34 fof(f440,plain,(
% 0.15/0.34 memberP(sk2,sk7)|memberP(sk1,sk7)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.34 fof(f441,plain,(
% 0.15/0.34 ~memberP(sk2,sk7)|~memberP(sk1,sk7)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.34 fof(f449,plain,(
% 0.15/0.34 spl0_2 <=> memberP(sk2,sk7)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f450,plain,(
% 0.15/0.34 memberP(sk2,sk7)|~spl0_2),
% 0.15/0.34 inference(component_clause,[status(thm)],[f449])).
% 0.15/0.34 fof(f452,plain,(
% 0.15/0.34 spl0_3 <=> memberP(sk1,sk7)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f453,plain,(
% 0.15/0.34 memberP(sk1,sk7)|~spl0_3),
% 0.15/0.34 inference(component_clause,[status(thm)],[f452])).
% 0.15/0.34 fof(f455,plain,(
% 0.15/0.34 spl0_2|spl0_3),
% 0.15/0.34 inference(split_clause,[status(thm)],[f440,f449,f452])).
% 0.15/0.34 fof(f456,plain,(
% 0.15/0.34 ~spl0_2|~spl0_3),
% 0.15/0.34 inference(split_clause,[status(thm)],[f441,f449,f452])).
% 0.15/0.34 fof(f488,plain,(
% 0.15/0.34 app(sk5,sk6)=sk2),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f433,f437])).
% 0.15/0.34 fof(f489,plain,(
% 0.15/0.34 app(sk6,sk5)=sk1),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f434,f438])).
% 0.15/0.34 fof(f490,plain,(
% 0.15/0.34 spl0_4 <=> ssList(sk5)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f492,plain,(
% 0.15/0.34 ~ssList(sk5)|spl0_4),
% 0.15/0.34 inference(component_clause,[status(thm)],[f490])).
% 0.15/0.34 fof(f493,plain,(
% 0.15/0.34 spl0_5 <=> ssList(sk6)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f495,plain,(
% 0.15/0.34 ~ssList(sk6)|spl0_5),
% 0.15/0.34 inference(component_clause,[status(thm)],[f493])).
% 0.15/0.34 fof(f496,plain,(
% 0.15/0.34 spl0_6 <=> ssList(sk1)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f499,plain,(
% 0.15/0.34 ~ssList(sk5)|~ssList(sk6)|ssList(sk1)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f284])).
% 0.15/0.34 fof(f500,plain,(
% 0.15/0.34 ~spl0_4|~spl0_5|spl0_6),
% 0.15/0.34 inference(split_clause,[status(thm)],[f499,f490,f493,f496])).
% 0.15/0.34 fof(f501,plain,(
% 0.15/0.34 spl0_7 <=> ssList(sk2)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f504,plain,(
% 0.15/0.34 ~ssList(sk6)|~ssList(sk5)|ssList(sk2)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f284])).
% 0.15/0.34 fof(f505,plain,(
% 0.15/0.34 ~spl0_5|~spl0_4|spl0_7),
% 0.15/0.34 inference(split_clause,[status(thm)],[f504,f493,f490,f501])).
% 0.15/0.34 fof(f506,plain,(
% 0.15/0.34 $false|spl0_4),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f492,f435])).
% 0.15/0.34 fof(f507,plain,(
% 0.15/0.34 spl0_4),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f506])).
% 0.15/0.34 fof(f508,plain,(
% 0.15/0.34 $false|spl0_5),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f495,f436])).
% 0.15/0.34 fof(f509,plain,(
% 0.15/0.34 spl0_5),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f508])).
% 0.15/0.34 fof(f510,plain,(
% 0.15/0.34 spl0_8 <=> ~sk1=app(sk6,X0)|~ssList(X0)|sk5=X0),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f511,plain,(
% 0.15/0.34 ![X0]: (~sk1=app(sk6,X0)|~ssList(X0)|sk5=X0|~spl0_8)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f510])).
% 0.15/0.34 fof(f513,plain,(
% 0.15/0.34 ![X0]: (~sk1=app(sk6,X0)|~ssList(sk5)|~ssList(sk6)|~ssList(X0)|sk5=X0)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f369])).
% 0.15/0.34 fof(f514,plain,(
% 0.15/0.34 spl0_8|~spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f513,f510,f490,f493])).
% 0.15/0.34 fof(f515,plain,(
% 0.15/0.34 spl0_9 <=> ~sk2=app(sk5,X0)|~ssList(X0)|sk6=X0),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f516,plain,(
% 0.15/0.34 ![X0]: (~sk2=app(sk5,X0)|~ssList(X0)|sk6=X0|~spl0_9)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f515])).
% 0.15/0.34 fof(f518,plain,(
% 0.15/0.34 ![X0]: (~sk2=app(sk5,X0)|~ssList(sk6)|~ssList(sk5)|~ssList(X0)|sk6=X0)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f369])).
% 0.15/0.34 fof(f519,plain,(
% 0.15/0.34 spl0_9|~spl0_5|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f518,f515,f493,f490])).
% 0.15/0.34 fof(f532,plain,(
% 0.15/0.34 spl0_12 <=> ~sk1=app(X0,sk5)|~ssList(X0)|sk6=X0),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f535,plain,(
% 0.15/0.34 ![X0]: (~sk1=app(X0,sk5)|~ssList(sk6)|~ssList(sk5)|~ssList(X0)|sk6=X0)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f371])).
% 0.15/0.34 fof(f536,plain,(
% 0.15/0.34 spl0_12|~spl0_5|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f535,f532,f493,f490])).
% 0.15/0.34 fof(f537,plain,(
% 0.15/0.34 spl0_13 <=> ~sk2=app(X0,sk6)|~ssList(X0)|sk5=X0),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f540,plain,(
% 0.15/0.34 ![X0]: (~sk2=app(X0,sk6)|~ssList(sk5)|~ssList(sk6)|~ssList(X0)|sk5=X0)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f371])).
% 0.15/0.34 fof(f541,plain,(
% 0.15/0.34 spl0_13|~spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f540,f537,f490,f493])).
% 0.15/0.34 fof(f548,plain,(
% 0.15/0.34 spl0_14 <=> ~memberP(sk6,X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f549,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk6,X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_14)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f548])).
% 0.15/0.34 fof(f551,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk6,X0)|~ssList(sk5)|~ssList(sk6)|~ssItem(X0)|memberP(sk1,X0))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f353])).
% 0.15/0.34 fof(f552,plain,(
% 0.15/0.34 spl0_14|~spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f551,f548,f490,f493])).
% 0.15/0.34 fof(f553,plain,(
% 0.15/0.34 spl0_15 <=> ~memberP(sk5,X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f554,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk5,X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_15)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f553])).
% 0.15/0.34 fof(f556,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk5,X0)|~ssList(sk6)|~ssList(sk5)|~ssItem(X0)|memberP(sk2,X0))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f353])).
% 0.15/0.34 fof(f557,plain,(
% 0.15/0.34 spl0_15|~spl0_5|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f556,f553,f493,f490])).
% 0.15/0.34 fof(f558,plain,(
% 0.15/0.34 spl0_16 <=> sk5=sk5),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f561,plain,(
% 0.15/0.34 ~ssList(sk5)|sk5=sk5|~spl0_8),
% 0.15/0.34 inference(resolution,[status(thm)],[f511,f489])).
% 0.15/0.34 fof(f562,plain,(
% 0.15/0.34 ~spl0_4|spl0_16|~spl0_8),
% 0.15/0.34 inference(split_clause,[status(thm)],[f561,f490,f558,f510])).
% 0.15/0.34 fof(f568,plain,(
% 0.15/0.34 spl0_18 <=> sk6=sk6),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f571,plain,(
% 0.15/0.34 ~ssList(sk6)|sk6=sk6|~spl0_9),
% 0.15/0.34 inference(resolution,[status(thm)],[f516,f488])).
% 0.15/0.34 fof(f572,plain,(
% 0.15/0.34 ~spl0_5|spl0_18|~spl0_9),
% 0.15/0.34 inference(split_clause,[status(thm)],[f571,f493,f568,f515])).
% 0.15/0.34 fof(f634,plain,(
% 0.15/0.34 spl0_26 <=> ~ssList(X0)|app(sk1,X0)=app(sk6,app(sk5,X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f635,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|app(sk1,X0)=app(sk6,app(sk5,X0))|~spl0_26)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f634])).
% 0.15/0.34 fof(f637,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk6)|app(sk1,X0)=app(sk6,app(sk5,X0)))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f367])).
% 0.15/0.34 fof(f638,plain,(
% 0.15/0.34 spl0_26|~spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f637,f634,f490,f493])).
% 0.15/0.34 fof(f639,plain,(
% 0.15/0.34 spl0_27 <=> ~ssList(X0)|app(sk2,X0)=app(sk5,app(sk6,X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f640,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|app(sk2,X0)=app(sk5,app(sk6,X0))|~spl0_27)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f639])).
% 0.15/0.34 fof(f642,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|~ssList(sk6)|~ssList(sk5)|app(sk2,X0)=app(sk5,app(sk6,X0)))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f367])).
% 0.15/0.34 fof(f643,plain,(
% 0.15/0.34 spl0_27|~spl0_5|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f642,f639,f493,f490])).
% 0.15/0.34 fof(f644,plain,(
% 0.15/0.34 spl0_28 <=> app(sk1,sk6)=app(sk6,sk2)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f645,plain,(
% 0.15/0.34 app(sk1,sk6)=app(sk6,sk2)|~spl0_28),
% 0.15/0.34 inference(component_clause,[status(thm)],[f644])).
% 0.15/0.34 fof(f647,plain,(
% 0.15/0.34 ~ssList(sk6)|app(sk1,sk6)=app(sk6,sk2)|~spl0_26),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f635])).
% 0.15/0.34 fof(f648,plain,(
% 0.15/0.34 ~spl0_5|spl0_28|~spl0_26),
% 0.15/0.34 inference(split_clause,[status(thm)],[f647,f493,f644,f634])).
% 0.15/0.34 fof(f657,plain,(
% 0.15/0.34 spl0_31 <=> ~ssList(X0)|app(app(sk1,sk6),X0)=app(sk6,app(sk2,X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f660,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|~ssList(sk2)|~ssList(sk6)|app(app(sk1,sk6),X0)=app(sk6,app(sk2,X0))|~spl0_28)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f367])).
% 0.15/0.34 fof(f661,plain,(
% 0.15/0.34 spl0_31|~spl0_7|~spl0_5|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f660,f657,f501,f493,f644])).
% 0.15/0.34 fof(f672,plain,(
% 0.15/0.34 spl0_34 <=> ~app(X0,sk2)=app(sk1,sk6)|~ssList(X0)|X0=sk6),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f675,plain,(
% 0.15/0.34 ![X0]: (~app(X0,sk2)=app(sk1,sk6)|~ssList(X0)|~ssList(sk2)|~ssList(sk6)|X0=sk6|~spl0_28)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f371])).
% 0.15/0.34 fof(f676,plain,(
% 0.15/0.34 spl0_34|~spl0_7|~spl0_5|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f675,f672,f501,f493,f644])).
% 0.15/0.34 fof(f679,plain,(
% 0.15/0.34 spl0_35 <=> ~app(sk6,X0)=app(sk1,sk6)|~ssList(X0)|X0=sk2),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f682,plain,(
% 0.15/0.34 ![X0]: (~app(sk6,X0)=app(sk1,sk6)|~ssList(X0)|~ssList(sk6)|~ssList(sk2)|X0=sk2|~spl0_28)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f369])).
% 0.15/0.34 fof(f683,plain,(
% 0.15/0.34 spl0_35|~spl0_5|~spl0_7|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f682,f679,f493,f501,f644])).
% 0.15/0.34 fof(f686,plain,(
% 0.15/0.34 spl0_36 <=> ssList(app(sk1,sk6))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f689,plain,(
% 0.15/0.34 ~ssList(sk2)|~ssList(sk6)|ssList(app(sk1,sk6))|~spl0_28),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f284])).
% 0.15/0.34 fof(f690,plain,(
% 0.15/0.34 ~spl0_7|~spl0_5|spl0_36|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f689,f501,f493,f686,f644])).
% 0.15/0.34 fof(f698,plain,(
% 0.15/0.34 spl0_37 <=> app(sk2,sk2)=app(sk5,app(sk1,sk6))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f699,plain,(
% 0.15/0.34 app(sk2,sk2)=app(sk5,app(sk1,sk6))|~spl0_37),
% 0.15/0.34 inference(component_clause,[status(thm)],[f698])).
% 0.15/0.34 fof(f701,plain,(
% 0.15/0.34 ~ssList(sk2)|app(sk2,sk2)=app(sk5,app(sk1,sk6))|~spl0_27|~spl0_28),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f640])).
% 0.15/0.34 fof(f702,plain,(
% 0.15/0.34 ~spl0_7|spl0_37|~spl0_27|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f701,f501,f698,f639,f644])).
% 0.15/0.34 fof(f703,plain,(
% 0.15/0.34 spl0_38 <=> app(sk2,sk5)=app(sk5,sk1)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f704,plain,(
% 0.15/0.34 app(sk2,sk5)=app(sk5,sk1)|~spl0_38),
% 0.15/0.34 inference(component_clause,[status(thm)],[f703])).
% 0.15/0.34 fof(f706,plain,(
% 0.15/0.34 ~ssList(sk5)|app(sk2,sk5)=app(sk5,sk1)|~spl0_27),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f640])).
% 0.15/0.34 fof(f707,plain,(
% 0.15/0.34 ~spl0_4|spl0_38|~spl0_27),
% 0.15/0.34 inference(split_clause,[status(thm)],[f706,f490,f703,f639])).
% 0.15/0.34 fof(f708,plain,(
% 0.15/0.34 spl0_39 <=> ~memberP(sk2,X0)|~ssItem(X0)|memberP(app(sk1,sk6),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f711,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk2,X0)|~ssList(sk2)|~ssList(sk6)|~ssItem(X0)|memberP(app(sk1,sk6),X0)|~spl0_28)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f354])).
% 0.15/0.34 fof(f712,plain,(
% 0.15/0.34 spl0_39|~spl0_7|~spl0_5|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f711,f708,f501,f493,f644])).
% 0.15/0.34 fof(f713,plain,(
% 0.15/0.34 spl0_40 <=> ~memberP(sk5,X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f714,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk5,X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_40)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f713])).
% 0.15/0.34 fof(f716,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk5,X0)|~ssList(sk5)|~ssList(sk6)|~ssItem(X0)|memberP(sk1,X0))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f354])).
% 0.15/0.34 fof(f717,plain,(
% 0.15/0.34 spl0_40|~spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f716,f713,f490,f493])).
% 0.15/0.34 fof(f718,plain,(
% 0.15/0.34 spl0_41 <=> ~memberP(sk6,X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f719,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk6,X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_41)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f718])).
% 0.15/0.34 fof(f721,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk6,X0)|~ssList(sk6)|~ssList(sk5)|~ssItem(X0)|memberP(sk2,X0))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f354])).
% 0.15/0.34 fof(f722,plain,(
% 0.15/0.34 spl0_41|~spl0_5|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f721,f718,f493,f490])).
% 0.15/0.34 fof(f723,plain,(
% 0.15/0.34 spl0_42 <=> ~memberP(sk6,X0)|~ssItem(X0)|memberP(app(sk1,sk6),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f726,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk6,X0)|~ssList(sk2)|~ssList(sk6)|~ssItem(X0)|memberP(app(sk1,sk6),X0)|~spl0_28)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f353])).
% 0.15/0.34 fof(f727,plain,(
% 0.15/0.34 spl0_42|~spl0_7|~spl0_5|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f726,f723,f501,f493,f644])).
% 0.15/0.34 fof(f732,plain,(
% 0.15/0.34 spl0_43 <=> ~memberP(app(sk1,sk6),X0)|~ssItem(X0)|memberP(sk2,X0)|memberP(sk6,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f735,plain,(
% 0.15/0.34 ![X0]: (~memberP(app(sk1,sk6),X0)|~ssList(sk2)|~ssList(sk6)|~ssItem(X0)|memberP(sk2,X0)|memberP(sk6,X0)|~spl0_28)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f645,f384])).
% 0.15/0.34 fof(f736,plain,(
% 0.15/0.34 spl0_43|~spl0_7|~spl0_5|~spl0_28),
% 0.15/0.34 inference(split_clause,[status(thm)],[f735,f732,f501,f493,f644])).
% 0.15/0.34 fof(f737,plain,(
% 0.15/0.34 spl0_44 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk5,X0)|memberP(sk6,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f738,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk5,X0)|memberP(sk6,X0)|~spl0_44)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f737])).
% 0.15/0.34 fof(f740,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk1,X0)|~ssList(sk5)|~ssList(sk6)|~ssItem(X0)|memberP(sk5,X0)|memberP(sk6,X0))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f489,f384])).
% 0.15/0.34 fof(f741,plain,(
% 0.15/0.34 spl0_44|~spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f740,f737,f490,f493])).
% 0.15/0.34 fof(f742,plain,(
% 0.15/0.34 spl0_45 <=> ~memberP(sk2,X0)|~ssItem(X0)|memberP(sk6,X0)|memberP(sk5,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f743,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk2,X0)|~ssItem(X0)|memberP(sk6,X0)|memberP(sk5,X0)|~spl0_45)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f742])).
% 0.15/0.34 fof(f745,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk2,X0)|~ssList(sk6)|~ssList(sk5)|~ssItem(X0)|memberP(sk6,X0)|memberP(sk5,X0))),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f488,f384])).
% 0.15/0.34 fof(f746,plain,(
% 0.15/0.34 spl0_45|~spl0_5|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f745,f742,f493,f490])).
% 0.15/0.34 fof(f774,plain,(
% 0.15/0.34 spl0_47 <=> app(sk1,sk1)=app(sk6,app(sk2,sk5))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f775,plain,(
% 0.15/0.34 app(sk1,sk1)=app(sk6,app(sk2,sk5))|~spl0_47),
% 0.15/0.34 inference(component_clause,[status(thm)],[f774])).
% 0.15/0.34 fof(f777,plain,(
% 0.15/0.34 ~ssList(sk1)|app(sk1,sk1)=app(sk6,app(sk2,sk5))|~spl0_26|~spl0_38),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f635])).
% 0.15/0.34 fof(f778,plain,(
% 0.15/0.34 ~spl0_6|spl0_47|~spl0_26|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f777,f496,f774,f634,f703])).
% 0.15/0.34 fof(f792,plain,(
% 0.15/0.34 spl0_51 <=> ~memberP(app(sk2,sk5),X0)|~ssItem(X0)|memberP(sk1,X0)|memberP(sk5,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f795,plain,(
% 0.15/0.34 ![X0]: (~memberP(app(sk2,sk5),X0)|~ssList(sk1)|~ssList(sk5)|~ssItem(X0)|memberP(sk1,X0)|memberP(sk5,X0)|~spl0_38)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f384])).
% 0.15/0.34 fof(f796,plain,(
% 0.15/0.34 spl0_51|~spl0_6|~spl0_4|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f795,f792,f496,f490,f703])).
% 0.15/0.34 fof(f797,plain,(
% 0.15/0.34 spl0_52 <=> ~memberP(sk5,X0)|~ssItem(X0)|memberP(app(sk2,sk5),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f800,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk5,X0)|~ssList(sk1)|~ssList(sk5)|~ssItem(X0)|memberP(app(sk2,sk5),X0)|~spl0_38)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f353])).
% 0.15/0.34 fof(f801,plain,(
% 0.15/0.34 spl0_52|~spl0_6|~spl0_4|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f800,f797,f496,f490,f703])).
% 0.15/0.34 fof(f802,plain,(
% 0.15/0.34 spl0_53 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(app(sk2,sk5),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f805,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk1,X0)|~ssList(sk1)|~ssList(sk5)|~ssItem(X0)|memberP(app(sk2,sk5),X0)|~spl0_38)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f354])).
% 0.15/0.34 fof(f806,plain,(
% 0.15/0.34 spl0_53|~spl0_6|~spl0_4|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f805,f802,f496,f490,f703])).
% 0.15/0.34 fof(f807,plain,(
% 0.15/0.34 spl0_54 <=> ~ssList(X0)|app(app(sk2,sk5),X0)=app(sk5,app(sk1,X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f810,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|~ssList(sk1)|~ssList(sk5)|app(app(sk2,sk5),X0)=app(sk5,app(sk1,X0))|~spl0_38)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f367])).
% 0.15/0.34 fof(f811,plain,(
% 0.15/0.34 spl0_54|~spl0_6|~spl0_4|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f810,f807,f496,f490,f703])).
% 0.15/0.34 fof(f812,plain,(
% 0.15/0.34 spl0_55 <=> ~app(X0,sk1)=app(sk2,sk5)|~ssList(X0)|X0=sk5),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f815,plain,(
% 0.15/0.34 ![X0]: (~app(X0,sk1)=app(sk2,sk5)|~ssList(X0)|~ssList(sk1)|~ssList(sk5)|X0=sk5|~spl0_38)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f371])).
% 0.15/0.34 fof(f816,plain,(
% 0.15/0.34 spl0_55|~spl0_6|~spl0_4|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f815,f812,f496,f490,f703])).
% 0.15/0.34 fof(f819,plain,(
% 0.15/0.34 spl0_56 <=> ~app(sk5,X0)=app(sk2,sk5)|~ssList(X0)|X0=sk1),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f822,plain,(
% 0.15/0.34 ![X0]: (~app(sk5,X0)=app(sk2,sk5)|~ssList(X0)|~ssList(sk5)|~ssList(sk1)|X0=sk1|~spl0_38)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f369])).
% 0.15/0.34 fof(f823,plain,(
% 0.15/0.34 spl0_56|~spl0_4|~spl0_6|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f822,f819,f490,f496,f703])).
% 0.15/0.34 fof(f826,plain,(
% 0.15/0.34 spl0_57 <=> ssList(app(sk2,sk5))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f829,plain,(
% 0.15/0.34 ~ssList(sk1)|~ssList(sk5)|ssList(app(sk2,sk5))|~spl0_38),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f704,f284])).
% 0.15/0.34 fof(f830,plain,(
% 0.15/0.34 ~spl0_6|~spl0_4|spl0_57|~spl0_38),
% 0.15/0.34 inference(split_clause,[status(thm)],[f829,f496,f490,f826,f703])).
% 0.15/0.34 fof(f849,plain,(
% 0.15/0.34 spl0_59 <=> app(sk1,app(sk1,sk6))=app(sk6,app(sk2,sk2))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f852,plain,(
% 0.15/0.34 ~ssList(app(sk1,sk6))|app(sk1,app(sk1,sk6))=app(sk6,app(sk2,sk2))|~spl0_26|~spl0_37),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f635])).
% 0.15/0.34 fof(f853,plain,(
% 0.15/0.34 ~spl0_36|spl0_59|~spl0_26|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f852,f686,f849,f634,f698])).
% 0.15/0.34 fof(f867,plain,(
% 0.15/0.34 spl0_63 <=> ~ssList(X0)|app(app(sk2,sk2),X0)=app(sk5,app(app(sk1,sk6),X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f870,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|app(app(sk2,sk2),X0)=app(sk5,app(app(sk1,sk6),X0))|~spl0_37)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f367])).
% 0.15/0.34 fof(f871,plain,(
% 0.15/0.34 spl0_63|~spl0_36|~spl0_4|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f870,f867,f686,f490,f698])).
% 0.15/0.34 fof(f872,plain,(
% 0.15/0.34 spl0_64 <=> ~app(X0,app(sk1,sk6))=app(sk2,sk2)|~ssList(X0)|X0=sk5),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f875,plain,(
% 0.15/0.34 ![X0]: (~app(X0,app(sk1,sk6))=app(sk2,sk2)|~ssList(X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|X0=sk5|~spl0_37)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f371])).
% 0.15/0.34 fof(f876,plain,(
% 0.15/0.34 spl0_64|~spl0_36|~spl0_4|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f875,f872,f686,f490,f698])).
% 0.15/0.34 fof(f879,plain,(
% 0.15/0.34 spl0_65 <=> ~app(sk5,X0)=app(sk2,sk2)|~ssList(X0)|X0=app(sk1,sk6)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f882,plain,(
% 0.15/0.34 ![X0]: (~app(sk5,X0)=app(sk2,sk2)|~ssList(X0)|~ssList(sk5)|~ssList(app(sk1,sk6))|X0=app(sk1,sk6)|~spl0_37)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f369])).
% 0.15/0.34 fof(f883,plain,(
% 0.15/0.34 spl0_65|~spl0_4|~spl0_36|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f882,f879,f490,f686,f698])).
% 0.15/0.34 fof(f886,plain,(
% 0.15/0.34 spl0_66 <=> ssList(app(sk2,sk2))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f889,plain,(
% 0.15/0.34 ~ssList(app(sk1,sk6))|~ssList(sk5)|ssList(app(sk2,sk2))|~spl0_37),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f284])).
% 0.15/0.34 fof(f890,plain,(
% 0.15/0.34 ~spl0_36|~spl0_4|spl0_66|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f889,f686,f490,f886,f698])).
% 0.15/0.34 fof(f912,plain,(
% 0.15/0.34 spl0_69 <=> ~ssList(app(X0,nil))|~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f915,plain,(
% 0.15/0.34 spl0_70 <=> ssList(nil)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f917,plain,(
% 0.15/0.34 ~ssList(nil)|spl0_70),
% 0.15/0.34 inference(component_clause,[status(thm)],[f915])).
% 0.15/0.34 fof(f918,plain,(
% 0.15/0.34 ![X0]: (~ssList(app(X0,nil))|~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.34 inference(resolution,[status(thm)],[f272,f371])).
% 0.15/0.34 fof(f919,plain,(
% 0.15/0.34 spl0_69|~spl0_70),
% 0.15/0.34 inference(split_clause,[status(thm)],[f918,f912,f915])).
% 0.15/0.34 fof(f922,plain,(
% 0.15/0.34 $false|spl0_70),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f917,f206])).
% 0.15/0.34 fof(f923,plain,(
% 0.15/0.34 spl0_70),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f922])).
% 0.15/0.34 fof(f925,plain,(
% 0.15/0.34 spl0_71 <=> ~ssList(app(nil,X0))|~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f928,plain,(
% 0.15/0.34 ![X0]: (~ssList(app(nil,X0))|~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.34 inference(resolution,[status(thm)],[f273,f369])).
% 0.15/0.34 fof(f929,plain,(
% 0.15/0.34 spl0_71|~spl0_70),
% 0.15/0.34 inference(split_clause,[status(thm)],[f928,f925,f915])).
% 0.15/0.34 fof(f940,plain,(
% 0.15/0.34 spl0_72 <=> app(sk2,app(sk2,sk5))=app(sk5,app(sk1,sk1))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f943,plain,(
% 0.15/0.34 ~ssList(app(sk2,sk5))|app(sk2,app(sk2,sk5))=app(sk5,app(sk1,sk1))|~spl0_27|~spl0_47),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f640])).
% 0.15/0.34 fof(f944,plain,(
% 0.15/0.34 ~spl0_57|spl0_72|~spl0_27|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f943,f826,f940,f639,f774])).
% 0.15/0.34 fof(f963,plain,(
% 0.15/0.34 spl0_77 <=> ~ssList(X0)|app(app(sk1,sk1),X0)=app(sk6,app(app(sk2,sk5),X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f966,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|~ssList(app(sk2,sk5))|~ssList(sk6)|app(app(sk1,sk1),X0)=app(sk6,app(app(sk2,sk5),X0))|~spl0_47)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f367])).
% 0.15/0.34 fof(f967,plain,(
% 0.15/0.34 spl0_77|~spl0_57|~spl0_5|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f966,f963,f826,f493,f774])).
% 0.15/0.34 fof(f968,plain,(
% 0.15/0.34 spl0_78 <=> ~app(X0,app(sk2,sk5))=app(sk1,sk1)|~ssList(X0)|X0=sk6),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f971,plain,(
% 0.15/0.34 ![X0]: (~app(X0,app(sk2,sk5))=app(sk1,sk1)|~ssList(X0)|~ssList(app(sk2,sk5))|~ssList(sk6)|X0=sk6|~spl0_47)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f371])).
% 0.15/0.34 fof(f972,plain,(
% 0.15/0.34 spl0_78|~spl0_57|~spl0_5|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f971,f968,f826,f493,f774])).
% 0.15/0.34 fof(f975,plain,(
% 0.15/0.34 spl0_79 <=> ~app(sk6,X0)=app(sk1,sk1)|~ssList(X0)|X0=app(sk2,sk5)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f978,plain,(
% 0.15/0.34 ![X0]: (~app(sk6,X0)=app(sk1,sk1)|~ssList(X0)|~ssList(sk6)|~ssList(app(sk2,sk5))|X0=app(sk2,sk5)|~spl0_47)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f369])).
% 0.15/0.34 fof(f979,plain,(
% 0.15/0.34 spl0_79|~spl0_5|~spl0_57|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f978,f975,f493,f826,f774])).
% 0.15/0.34 fof(f982,plain,(
% 0.15/0.34 spl0_80 <=> ssList(app(sk1,sk1))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f985,plain,(
% 0.15/0.34 ~ssList(app(sk2,sk5))|~ssList(sk6)|ssList(app(sk1,sk1))|~spl0_47),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f284])).
% 0.15/0.34 fof(f986,plain,(
% 0.15/0.34 ~spl0_57|~spl0_5|spl0_80|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f985,f826,f493,f982,f774])).
% 0.15/0.34 fof(f989,plain,(
% 0.15/0.34 spl0_81 <=> ssItem(sk7)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f991,plain,(
% 0.15/0.34 ~ssItem(sk7)|spl0_81),
% 0.15/0.34 inference(component_clause,[status(thm)],[f989])).
% 0.15/0.34 fof(f992,plain,(
% 0.15/0.34 spl0_82 <=> memberP(sk6,sk7)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f993,plain,(
% 0.15/0.34 memberP(sk6,sk7)|~spl0_82),
% 0.15/0.34 inference(component_clause,[status(thm)],[f992])).
% 0.15/0.34 fof(f995,plain,(
% 0.15/0.34 spl0_83 <=> memberP(sk5,sk7)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f996,plain,(
% 0.15/0.34 memberP(sk5,sk7)|~spl0_83),
% 0.15/0.34 inference(component_clause,[status(thm)],[f995])).
% 0.15/0.34 fof(f998,plain,(
% 0.15/0.34 ~ssItem(sk7)|memberP(sk6,sk7)|memberP(sk5,sk7)|~spl0_45|~spl0_2),
% 0.15/0.34 inference(resolution,[status(thm)],[f743,f450])).
% 0.15/0.34 fof(f999,plain,(
% 0.15/0.34 ~spl0_81|spl0_82|spl0_83|~spl0_45|~spl0_2),
% 0.15/0.34 inference(split_clause,[status(thm)],[f998,f989,f992,f995,f742,f449])).
% 0.15/0.34 fof(f1034,plain,(
% 0.15/0.34 $false|spl0_81),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f439,f991])).
% 0.15/0.34 fof(f1035,plain,(
% 0.15/0.34 spl0_81),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f1034])).
% 0.15/0.34 fof(f1038,plain,(
% 0.15/0.34 spl0_84 <=> ~memberP(app(sk2,sk5),X0)|~ssItem(X0)|memberP(app(sk1,sk1),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1041,plain,(
% 0.15/0.34 ![X0]: (~memberP(app(sk2,sk5),X0)|~ssList(app(sk2,sk5))|~ssList(sk6)|~ssItem(X0)|memberP(app(sk1,sk1),X0)|~spl0_47)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f354])).
% 0.15/0.34 fof(f1042,plain,(
% 0.15/0.34 spl0_84|~spl0_57|~spl0_5|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1041,f1038,f826,f493,f774])).
% 0.15/0.34 fof(f1047,plain,(
% 0.15/0.34 spl0_85 <=> ~memberP(app(sk1,sk6),X0)|~ssItem(X0)|memberP(app(sk2,sk2),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1050,plain,(
% 0.15/0.34 ![X0]: (~memberP(app(sk1,sk6),X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|~ssItem(X0)|memberP(app(sk2,sk2),X0)|~spl0_37)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f354])).
% 0.15/0.34 fof(f1051,plain,(
% 0.15/0.34 spl0_85|~spl0_36|~spl0_4|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1050,f1047,f686,f490,f698])).
% 0.15/0.34 fof(f1056,plain,(
% 0.15/0.34 spl0_86 <=> ~memberP(sk6,X0)|~ssItem(X0)|memberP(app(sk1,sk1),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1059,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk6,X0)|~ssList(app(sk2,sk5))|~ssList(sk6)|~ssItem(X0)|memberP(app(sk1,sk1),X0)|~spl0_47)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f353])).
% 0.15/0.34 fof(f1060,plain,(
% 0.15/0.34 spl0_86|~spl0_57|~spl0_5|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1059,f1056,f826,f493,f774])).
% 0.15/0.34 fof(f1065,plain,(
% 0.15/0.34 spl0_87 <=> ~memberP(sk5,X0)|~ssItem(X0)|memberP(app(sk2,sk2),X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1068,plain,(
% 0.15/0.34 ![X0]: (~memberP(sk5,X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|~ssItem(X0)|memberP(app(sk2,sk2),X0)|~spl0_37)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f353])).
% 0.15/0.34 fof(f1069,plain,(
% 0.15/0.34 spl0_87|~spl0_36|~spl0_4|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1068,f1065,f686,f490,f698])).
% 0.15/0.34 fof(f1076,plain,(
% 0.15/0.34 spl0_88 <=> ~memberP(app(sk1,sk1),X0)|~ssItem(X0)|memberP(app(sk2,sk5),X0)|memberP(sk6,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1079,plain,(
% 0.15/0.34 ![X0]: (~memberP(app(sk1,sk1),X0)|~ssList(app(sk2,sk5))|~ssList(sk6)|~ssItem(X0)|memberP(app(sk2,sk5),X0)|memberP(sk6,X0)|~spl0_47)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f775,f384])).
% 0.15/0.34 fof(f1080,plain,(
% 0.15/0.34 spl0_88|~spl0_57|~spl0_5|~spl0_47),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1079,f1076,f826,f493,f774])).
% 0.15/0.34 fof(f1085,plain,(
% 0.15/0.34 spl0_89 <=> ~memberP(app(sk2,sk2),X0)|~ssItem(X0)|memberP(app(sk1,sk6),X0)|memberP(sk5,X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1088,plain,(
% 0.15/0.34 ![X0]: (~memberP(app(sk2,sk2),X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|~ssItem(X0)|memberP(app(sk1,sk6),X0)|memberP(sk5,X0)|~spl0_37)),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f699,f384])).
% 0.15/0.34 fof(f1089,plain,(
% 0.15/0.34 spl0_89|~spl0_36|~spl0_4|~spl0_37),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1088,f1085,f686,f490,f698])).
% 0.15/0.34 fof(f1093,plain,(
% 0.15/0.34 ~ssItem(sk7)|memberP(sk1,sk7)|~spl0_82|~spl0_14),
% 0.15/0.34 inference(resolution,[status(thm)],[f993,f549])).
% 0.15/0.34 fof(f1094,plain,(
% 0.15/0.34 ~spl0_81|spl0_3|~spl0_82|~spl0_14),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1093,f989,f452,f992,f548])).
% 0.15/0.34 fof(f1095,plain,(
% 0.15/0.34 ~ssItem(sk7)|memberP(sk5,sk7)|memberP(sk6,sk7)|~spl0_3|~spl0_44),
% 0.15/0.34 inference(resolution,[status(thm)],[f453,f738])).
% 0.15/0.34 fof(f1096,plain,(
% 0.15/0.34 ~spl0_81|spl0_83|spl0_82|~spl0_3|~spl0_44),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1095,f989,f995,f992,f452,f737])).
% 0.15/0.34 fof(f1097,plain,(
% 0.15/0.34 ~ssItem(sk7)|memberP(sk1,sk7)|~spl0_83|~spl0_40),
% 0.15/0.34 inference(resolution,[status(thm)],[f996,f714])).
% 0.15/0.34 fof(f1098,plain,(
% 0.15/0.34 ~spl0_81|spl0_3|~spl0_83|~spl0_40),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1097,f989,f452,f995,f713])).
% 0.15/0.34 fof(f1099,plain,(
% 0.15/0.34 ~ssItem(sk7)|memberP(sk2,sk7)|~spl0_83|~spl0_15),
% 0.15/0.34 inference(resolution,[status(thm)],[f996,f554])).
% 0.15/0.34 fof(f1100,plain,(
% 0.15/0.34 ~spl0_81|spl0_2|~spl0_83|~spl0_15),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1099,f989,f449,f995,f553])).
% 0.15/0.34 fof(f1101,plain,(
% 0.15/0.34 ~ssItem(sk7)|memberP(sk2,sk7)|~spl0_82|~spl0_41),
% 0.15/0.34 inference(resolution,[status(thm)],[f993,f719])).
% 0.15/0.34 fof(f1102,plain,(
% 0.15/0.34 ~spl0_81|spl0_2|~spl0_82|~spl0_41),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1101,f989,f449,f992,f718])).
% 0.15/0.34 fof(f1105,plain,(
% 0.15/0.34 $false),
% 0.15/0.34 inference(sat_refutation,[status(thm)],[f455,f456,f500,f505,f507,f509,f514,f519,f536,f541,f552,f557,f562,f572,f638,f643,f648,f661,f676,f683,f690,f702,f707,f712,f717,f722,f727,f736,f741,f746,f778,f796,f801,f806,f811,f816,f823,f830,f853,f871,f876,f883,f890,f919,f923,f929,f944,f967,f972,f979,f986,f999,f1035,f1042,f1051,f1060,f1069,f1080,f1089,f1094,f1096,f1098,f1100,f1102])).
% 0.15/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.36 % Elapsed time: 0.031709 seconds
% 0.15/0.36 % CPU time: 0.093249 seconds
% 0.15/0.36 % Total memory used: 35.687 MB
% 0.15/0.36 % Net memory used: 35.515 MB
%------------------------------------------------------------------------------