TSTP Solution File: SWC015-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC015-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:44:09 EDT 2024
% Result : Unsatisfiable 0.21s 0.58s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC015-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:24:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.58 % Refutation found
% 0.21/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.58 fof(f8,axiom,(
% 0.21/0.58 ssList(nil) ),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f47,axiom,(
% 0.21/0.58 (![U]: (ssItem(skaf44(U)) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f53,axiom,(
% 0.21/0.58 (![U,V]: (ssList(skaf42(U,V)) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f74,axiom,(
% 0.21/0.58 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f75,axiom,(
% 0.21/0.58 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f76,axiom,(
% 0.21/0.58 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f78,axiom,(
% 0.21/0.58 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f85,axiom,(
% 0.21/0.58 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f99,axiom,(
% 0.21/0.58 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f100,axiom,(
% 0.21/0.58 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f104,axiom,(
% 0.21/0.58 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f115,axiom,(
% 0.21/0.58 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f133,axiom,(
% 0.21/0.58 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| nil = V| tl(app(V,U)) = app(tl(V),U) ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f151,axiom,(
% 0.21/0.58 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f186,negated_conjecture,(
% 0.21/0.58 ssList(sk1) ),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f187,negated_conjecture,(
% 0.21/0.58 ssList(sk2) ),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f190,negated_conjecture,(
% 0.21/0.58 sk2 = sk4 ),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f191,negated_conjecture,(
% 0.21/0.58 sk1 = sk3 ),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f192,negated_conjecture,(
% 0.21/0.58 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f196,negated_conjecture,(
% 0.21/0.58 (![A,B]: (( ~ ssList(A)| sk4 = A| ~ ssList(B)| tl(sk4) != B| app(sk3,B) != A| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f197,negated_conjecture,(
% 0.21/0.58 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| cons(A,nil) != sk1| app(cons(A,nil),B) != sk2| ~ neq(sk4,nil) ) ))),
% 0.21/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.58 fof(f205,plain,(
% 0.21/0.58 ssList(nil)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.58 fof(f244,plain,(
% 0.21/0.58 ![X0]: (ssItem(skaf44(X0)))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f47])).
% 0.21/0.58 fof(f250,plain,(
% 0.21/0.58 ![X0,X1]: (ssList(skaf42(X0,X1)))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f53])).
% 0.21/0.58 fof(f272,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f74])).
% 0.21/0.58 fof(f273,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f75])).
% 0.21/0.58 fof(f274,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f76])).
% 0.21/0.58 fof(f276,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f78])).
% 0.21/0.58 fof(f283,plain,(
% 0.21/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f85])).
% 0.21/0.58 fof(f298,plain,(
% 0.21/0.58 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.21/0.58 inference(miniscoping,[status(esa)],[f99])).
% 0.21/0.58 fof(f299,plain,(
% 0.21/0.58 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f298])).
% 0.21/0.58 fof(f300,plain,(
% 0.21/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f100])).
% 0.21/0.58 fof(f304,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f104])).
% 0.21/0.58 fof(f318,plain,(
% 0.21/0.58 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.21/0.58 inference(miniscoping,[status(esa)],[f115])).
% 0.21/0.58 fof(f319,plain,(
% 0.21/0.58 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f318])).
% 0.21/0.58 fof(f343,plain,(
% 0.21/0.58 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X1|tl(app(X1,X0))=app(tl(X1),X0))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f133])).
% 0.21/0.58 fof(f369,plain,(
% 0.21/0.58 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.21/0.58 inference(miniscoping,[status(esa)],[f151])).
% 0.21/0.58 fof(f370,plain,(
% 0.21/0.58 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f369])).
% 0.21/0.58 fof(f428,plain,(
% 0.21/0.58 ssList(sk1)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f186])).
% 0.21/0.58 fof(f429,plain,(
% 0.21/0.58 ssList(sk2)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f187])).
% 0.21/0.58 fof(f432,plain,(
% 0.21/0.58 sk2=sk4),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f190])).
% 0.21/0.58 fof(f433,plain,(
% 0.21/0.58 sk1=sk3),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f191])).
% 0.21/0.58 fof(f434,plain,(
% 0.21/0.58 neq(sk2,nil)|neq(sk2,nil)),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f192])).
% 0.21/0.58 fof(f440,plain,(
% 0.21/0.58 ((![A,B]: ((((~ssList(A)|sk4=A)|~ssList(B))|~tl(sk4)=B)|~app(sk3,B)=A))|~neq(nil,sk4))|~neq(sk4,nil)),
% 0.21/0.58 inference(miniscoping,[status(esa)],[f196])).
% 0.21/0.58 fof(f441,plain,(
% 0.21/0.58 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~neq(nil,sk4)|~neq(sk4,nil))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f440])).
% 0.21/0.58 fof(f442,plain,(
% 0.21/0.58 (![A,B]: (((~ssItem(A)|~ssList(B))|~cons(A,nil)=sk1)|~app(cons(A,nil),B)=sk2))|~neq(sk4,nil)),
% 0.21/0.58 inference(miniscoping,[status(esa)],[f197])).
% 0.21/0.58 fof(f443,plain,(
% 0.21/0.58 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(cons(X0,nil),X1)=sk2|~neq(sk4,nil))),
% 0.21/0.58 inference(cnf_transformation,[status(esa)],[f442])).
% 0.21/0.58 fof(f451,plain,(
% 0.21/0.58 spl0_2 <=> neq(sk2,nil)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f452,plain,(
% 0.21/0.58 neq(sk2,nil)|~spl0_2),
% 0.21/0.58 inference(component_clause,[status(thm)],[f451])).
% 0.21/0.58 fof(f454,plain,(
% 0.21/0.58 spl0_2),
% 0.21/0.58 inference(split_clause,[status(thm)],[f434,f451])).
% 0.21/0.58 fof(f455,plain,(
% 0.21/0.58 spl0_3 <=> neq(sk4,nil)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f457,plain,(
% 0.21/0.58 ~neq(sk4,nil)|spl0_3),
% 0.21/0.58 inference(component_clause,[status(thm)],[f455])).
% 0.21/0.58 fof(f459,plain,(
% 0.21/0.58 spl0_4 <=> ~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f460,plain,(
% 0.21/0.58 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 0.21/0.58 inference(component_clause,[status(thm)],[f459])).
% 0.21/0.58 fof(f462,plain,(
% 0.21/0.58 spl0_5 <=> neq(nil,sk4)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f464,plain,(
% 0.21/0.58 ~neq(nil,sk4)|spl0_5),
% 0.21/0.58 inference(component_clause,[status(thm)],[f462])).
% 0.21/0.58 fof(f466,plain,(
% 0.21/0.58 spl0_6 <=> ~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(cons(X0,nil),X1)=sk2),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f467,plain,(
% 0.21/0.58 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~cons(X0,nil)=sk1|~app(cons(X0,nil),X1)=sk2|~spl0_6)),
% 0.21/0.58 inference(component_clause,[status(thm)],[f466])).
% 0.21/0.58 fof(f470,plain,(
% 0.21/0.58 spl0_4|~spl0_5|~spl0_3),
% 0.21/0.58 inference(split_clause,[status(thm)],[f441,f459,f462,f455])).
% 0.21/0.58 fof(f471,plain,(
% 0.21/0.58 spl0_6|~spl0_3),
% 0.21/0.58 inference(split_clause,[status(thm)],[f443,f466,f455])).
% 0.21/0.58 fof(f479,plain,(
% 0.21/0.58 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.21/0.58 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 0.21/0.58 fof(f480,plain,(
% 0.21/0.58 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.21/0.58 inference(duplicate_literals_removal,[status(esa)],[f479])).
% 0.21/0.58 fof(f503,plain,(
% 0.21/0.58 ~neq(sk2,nil)|spl0_3),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f432,f457])).
% 0.21/0.58 fof(f504,plain,(
% 0.21/0.58 $false|spl0_3|~spl0_2),
% 0.21/0.58 inference(forward_subsumption_resolution,[status(thm)],[f452,f503])).
% 0.21/0.58 fof(f505,plain,(
% 0.21/0.58 spl0_3|~spl0_2),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f504])).
% 0.21/0.58 fof(f506,plain,(
% 0.21/0.58 ~neq(nil,sk2)|spl0_5),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f432,f464])).
% 0.21/0.58 fof(f508,plain,(
% 0.21/0.58 spl0_7 <=> ssList(sk2)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f510,plain,(
% 0.21/0.58 ~ssList(sk2)|spl0_7),
% 0.21/0.58 inference(component_clause,[status(thm)],[f508])).
% 0.21/0.58 fof(f511,plain,(
% 0.21/0.58 spl0_8 <=> ssList(nil)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f513,plain,(
% 0.21/0.58 ~ssList(nil)|spl0_8),
% 0.21/0.58 inference(component_clause,[status(thm)],[f511])).
% 0.21/0.58 fof(f514,plain,(
% 0.21/0.58 spl0_9 <=> nil=sk2),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f515,plain,(
% 0.21/0.58 nil=sk2|~spl0_9),
% 0.21/0.58 inference(component_clause,[status(thm)],[f514])).
% 0.21/0.58 fof(f517,plain,(
% 0.21/0.58 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_5),
% 0.21/0.58 inference(resolution,[status(thm)],[f300,f506])).
% 0.21/0.58 fof(f518,plain,(
% 0.21/0.58 ~spl0_7|~spl0_8|spl0_9|spl0_5),
% 0.21/0.58 inference(split_clause,[status(thm)],[f517,f508,f511,f514,f462])).
% 0.21/0.58 fof(f519,plain,(
% 0.21/0.58 $false|spl0_8),
% 0.21/0.58 inference(forward_subsumption_resolution,[status(thm)],[f513,f205])).
% 0.21/0.58 fof(f520,plain,(
% 0.21/0.58 spl0_8),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f519])).
% 0.21/0.58 fof(f521,plain,(
% 0.21/0.58 $false|spl0_7),
% 0.21/0.58 inference(forward_subsumption_resolution,[status(thm)],[f510,f429])).
% 0.21/0.58 fof(f522,plain,(
% 0.21/0.58 spl0_7),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f521])).
% 0.21/0.58 fof(f524,plain,(
% 0.21/0.58 neq(nil,nil)|~spl0_9|~spl0_2),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f515,f452])).
% 0.21/0.58 fof(f529,plain,(
% 0.21/0.58 ~ssList(nil)|~spl0_9|~spl0_2),
% 0.21/0.58 inference(resolution,[status(thm)],[f524,f480])).
% 0.21/0.58 fof(f530,plain,(
% 0.21/0.58 ~spl0_8|~spl0_9|~spl0_2),
% 0.21/0.58 inference(split_clause,[status(thm)],[f529,f511,f514,f451])).
% 0.21/0.58 fof(f531,plain,(
% 0.21/0.58 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk1,X1)=X0|~spl0_4)),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f433,f460])).
% 0.21/0.58 fof(f532,plain,(
% 0.21/0.58 ~ssList(app(sk1,tl(sk4)))|sk4=app(sk1,tl(sk4))|~ssList(tl(sk4))|~spl0_4),
% 0.21/0.58 inference(destructive_equality_resolution,[status(esa)],[f531])).
% 0.21/0.58 fof(f534,plain,(
% 0.21/0.58 ~ssList(app(sk1,tl(sk2)))|sk4=app(sk1,tl(sk4))|~ssList(tl(sk4))|~spl0_4),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f432,f532])).
% 0.21/0.58 fof(f535,plain,(
% 0.21/0.58 ~ssList(app(sk1,tl(sk2)))|sk2=app(sk1,tl(sk4))|~ssList(tl(sk4))|~spl0_4),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f432,f534])).
% 0.21/0.58 fof(f536,plain,(
% 0.21/0.58 ~ssList(app(sk1,tl(sk2)))|sk2=app(sk1,tl(sk2))|~ssList(tl(sk4))|~spl0_4),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f432,f535])).
% 0.21/0.58 fof(f537,plain,(
% 0.21/0.58 ~ssList(app(sk1,tl(sk2)))|sk2=app(sk1,tl(sk2))|~ssList(tl(sk2))|~spl0_4),
% 0.21/0.58 inference(forward_demodulation,[status(thm)],[f432,f536])).
% 0.21/0.58 fof(f538,plain,(
% 0.21/0.58 spl0_10 <=> sk2=app(sk1,tl(sk2))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f539,plain,(
% 0.21/0.58 sk2=app(sk1,tl(sk2))|~spl0_10),
% 0.21/0.58 inference(component_clause,[status(thm)],[f538])).
% 0.21/0.58 fof(f541,plain,(
% 0.21/0.58 spl0_11 <=> ssList(tl(sk2))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f543,plain,(
% 0.21/0.58 ~ssList(tl(sk2))|spl0_11),
% 0.21/0.58 inference(component_clause,[status(thm)],[f541])).
% 0.21/0.58 fof(f544,plain,(
% 0.21/0.58 spl0_12 <=> ssList(sk1)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f546,plain,(
% 0.21/0.58 ~ssList(sk1)|spl0_12),
% 0.21/0.58 inference(component_clause,[status(thm)],[f544])).
% 0.21/0.58 fof(f547,plain,(
% 0.21/0.58 sk2=app(sk1,tl(sk2))|~ssList(tl(sk2))|~ssList(tl(sk2))|~ssList(sk1)|~spl0_4),
% 0.21/0.58 inference(resolution,[status(thm)],[f537,f283])).
% 0.21/0.58 fof(f548,plain,(
% 0.21/0.58 spl0_10|~spl0_11|~spl0_12|~spl0_4),
% 0.21/0.58 inference(split_clause,[status(thm)],[f547,f538,f541,f544,f459])).
% 0.21/0.58 fof(f549,plain,(
% 0.21/0.58 $false|spl0_12),
% 0.21/0.58 inference(forward_subsumption_resolution,[status(thm)],[f546,f428])).
% 0.21/0.58 fof(f550,plain,(
% 0.21/0.58 spl0_12),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f549])).
% 0.21/0.58 fof(f551,plain,(
% 0.21/0.58 ~ssList(sk2)|nil=sk2|spl0_11),
% 0.21/0.58 inference(resolution,[status(thm)],[f543,f273])).
% 0.21/0.58 fof(f552,plain,(
% 0.21/0.58 ~spl0_7|spl0_9|spl0_11),
% 0.21/0.58 inference(split_clause,[status(thm)],[f551,f508,f514,f541])).
% 0.21/0.58 fof(f587,plain,(
% 0.21/0.58 spl0_19 <=> sk2=sk2),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f589,plain,(
% 0.21/0.58 ~sk2=sk2|spl0_19),
% 0.21/0.58 inference(component_clause,[status(thm)],[f587])).
% 0.21/0.58 fof(f638,plain,(
% 0.21/0.58 spl0_27 <=> nil=sk1),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f639,plain,(
% 0.21/0.58 nil=sk1|~spl0_27),
% 0.21/0.58 inference(component_clause,[status(thm)],[f638])).
% 0.21/0.58 fof(f652,plain,(
% 0.21/0.58 spl0_29 <=> tl(sk2)=app(tl(sk1),tl(sk2))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f653,plain,(
% 0.21/0.58 tl(sk2)=app(tl(sk1),tl(sk2))|~spl0_29),
% 0.21/0.58 inference(component_clause,[status(thm)],[f652])).
% 0.21/0.58 fof(f655,plain,(
% 0.21/0.58 ~ssList(tl(sk2))|~ssList(sk1)|nil=sk1|tl(sk2)=app(tl(sk1),tl(sk2))|~spl0_10),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f539,f343])).
% 0.21/0.58 fof(f656,plain,(
% 0.21/0.58 ~spl0_11|~spl0_12|spl0_27|spl0_29|~spl0_10),
% 0.21/0.58 inference(split_clause,[status(thm)],[f655,f541,f544,f638,f652,f538])).
% 0.21/0.58 fof(f660,plain,(
% 0.21/0.58 sk2=app(nil,tl(sk2))|~spl0_27|~spl0_10),
% 0.21/0.58 inference(backward_demodulation,[status(thm)],[f639,f539])).
% 0.21/0.58 fof(f664,plain,(
% 0.21/0.58 spl0_30 <=> sk2=tl(sk2)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f665,plain,(
% 0.21/0.58 sk2=tl(sk2)|~spl0_30),
% 0.21/0.58 inference(component_clause,[status(thm)],[f664])).
% 0.21/0.58 fof(f667,plain,(
% 0.21/0.58 ~ssList(tl(sk2))|sk2=tl(sk2)|~spl0_27|~spl0_10),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f660,f272])).
% 0.21/0.58 fof(f668,plain,(
% 0.21/0.58 ~spl0_11|spl0_30|~spl0_27|~spl0_10),
% 0.21/0.58 inference(split_clause,[status(thm)],[f667,f541,f664,f638,f538])).
% 0.21/0.58 fof(f709,plain,(
% 0.21/0.58 spl0_35 <=> ssList(tl(sk1))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f711,plain,(
% 0.21/0.58 ~ssList(tl(sk1))|spl0_35),
% 0.21/0.58 inference(component_clause,[status(thm)],[f709])).
% 0.21/0.58 fof(f712,plain,(
% 0.21/0.58 spl0_36 <=> nil=tl(sk1)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f713,plain,(
% 0.21/0.58 nil=tl(sk1)|~spl0_36),
% 0.21/0.58 inference(component_clause,[status(thm)],[f712])).
% 0.21/0.58 fof(f729,plain,(
% 0.21/0.58 spl0_39 <=> ~app(X0,tl(sk2))=tl(sk2)|~ssList(X0)|X0=tl(sk1)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f730,plain,(
% 0.21/0.58 ![X0]: (~app(X0,tl(sk2))=tl(sk2)|~ssList(X0)|X0=tl(sk1)|~spl0_39)),
% 0.21/0.58 inference(component_clause,[status(thm)],[f729])).
% 0.21/0.58 fof(f732,plain,(
% 0.21/0.58 ![X0]: (~app(X0,tl(sk2))=tl(sk2)|~ssList(X0)|~ssList(tl(sk2))|~ssList(tl(sk1))|X0=tl(sk1)|~spl0_29)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f653,f370])).
% 0.21/0.58 fof(f733,plain,(
% 0.21/0.58 spl0_39|~spl0_11|~spl0_35|~spl0_29),
% 0.21/0.58 inference(split_clause,[status(thm)],[f732,f729,f541,f709,f652])).
% 0.21/0.58 fof(f745,plain,(
% 0.21/0.58 ~ssList(sk1)|nil=sk1|spl0_35),
% 0.21/0.58 inference(resolution,[status(thm)],[f711,f273])).
% 0.21/0.58 fof(f746,plain,(
% 0.21/0.58 ~spl0_12|spl0_27|spl0_35),
% 0.21/0.58 inference(split_clause,[status(thm)],[f745,f544,f638,f709])).
% 0.21/0.58 fof(f748,plain,(
% 0.21/0.58 spl0_41 <=> cons(hd(sk1),nil)=sk1),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f749,plain,(
% 0.21/0.58 cons(hd(sk1),nil)=sk1|~spl0_41),
% 0.21/0.58 inference(component_clause,[status(thm)],[f748])).
% 0.21/0.58 fof(f751,plain,(
% 0.21/0.58 ~ssList(sk1)|cons(hd(sk1),nil)=sk1|nil=sk1|~spl0_36),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f713,f304])).
% 0.21/0.58 fof(f752,plain,(
% 0.21/0.58 ~spl0_12|spl0_41|spl0_27|~spl0_36),
% 0.21/0.58 inference(split_clause,[status(thm)],[f751,f544,f748,f638,f712])).
% 0.21/0.58 fof(f773,plain,(
% 0.21/0.58 ~ssList(nil)|nil=tl(sk1)|~ssList(tl(sk2))|~spl0_39),
% 0.21/0.58 inference(resolution,[status(thm)],[f730,f272])).
% 0.21/0.58 fof(f774,plain,(
% 0.21/0.58 ~spl0_8|spl0_36|~spl0_11|~spl0_39),
% 0.21/0.58 inference(split_clause,[status(thm)],[f773,f511,f712,f541,f729])).
% 0.21/0.58 fof(f853,plain,(
% 0.21/0.58 spl0_47 <=> ssItem(hd(sk1))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f855,plain,(
% 0.21/0.58 ~ssItem(hd(sk1))|spl0_47),
% 0.21/0.58 inference(component_clause,[status(thm)],[f853])).
% 0.21/0.58 fof(f898,plain,(
% 0.21/0.58 spl0_52 <=> ~ssList(X1)|~ssList(X1)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f899,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_52)),
% 0.21/0.58 inference(component_clause,[status(thm)],[f898])).
% 0.21/0.58 fof(f912,plain,(
% 0.21/0.58 spl0_54 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f913,plain,(
% 0.21/0.58 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_54)),
% 0.21/0.58 inference(component_clause,[status(thm)],[f912])).
% 0.21/0.58 fof(f917,plain,(
% 0.21/0.58 spl0_55 <=> ~ssList(X0)|~app(sk1,X0)=sk2),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f918,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|~spl0_55)),
% 0.21/0.58 inference(component_clause,[status(thm)],[f917])).
% 0.21/0.58 fof(f920,plain,(
% 0.21/0.58 ![X0]: (~ssItem(hd(sk1))|~ssList(X0)|~cons(hd(sk1),nil)=sk1|~app(sk1,X0)=sk2|~spl0_6|~spl0_41)),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f749,f467])).
% 0.21/0.58 fof(f921,plain,(
% 0.21/0.58 ~spl0_47|spl0_55|~spl0_41|~spl0_6),
% 0.21/0.58 inference(split_clause,[status(thm)],[f920,f853,f917,f748,f466])).
% 0.21/0.58 fof(f1108,plain,(
% 0.21/0.58 ~ssList(sk1)|nil=sk1|spl0_47),
% 0.21/0.58 inference(resolution,[status(thm)],[f274,f855])).
% 0.21/0.58 fof(f1109,plain,(
% 0.21/0.58 ~spl0_12|spl0_27|spl0_47),
% 0.21/0.58 inference(split_clause,[status(thm)],[f1108,f544,f638,f853])).
% 0.21/0.58 fof(f1129,plain,(
% 0.21/0.58 ~ssList(tl(sk2))|~spl0_55|~spl0_10),
% 0.21/0.58 inference(resolution,[status(thm)],[f918,f539])).
% 0.21/0.58 fof(f1130,plain,(
% 0.21/0.58 ~spl0_11|~spl0_55|~spl0_10),
% 0.21/0.58 inference(split_clause,[status(thm)],[f1129,f541,f917,f538])).
% 0.21/0.58 fof(f1136,plain,(
% 0.21/0.58 $false|spl0_19),
% 0.21/0.58 inference(trivial_equality_resolution,[status(esa)],[f589])).
% 0.21/0.58 fof(f1137,plain,(
% 0.21/0.58 spl0_19),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f1136])).
% 0.21/0.58 fof(f1138,plain,(
% 0.21/0.58 ![X0]: (~ssItem(X0)|~spl0_54)),
% 0.21/0.58 inference(duplicate_literals_removal,[status(esa)],[f913])).
% 0.21/0.58 fof(f1139,plain,(
% 0.21/0.58 ![X0]: (~ssList(X0)|~spl0_52)),
% 0.21/0.58 inference(duplicate_literals_removal,[status(esa)],[f899])).
% 0.21/0.58 fof(f1143,plain,(
% 0.21/0.58 $false|~spl0_54),
% 0.21/0.58 inference(backward_subsumption_resolution,[status(thm)],[f244,f1138])).
% 0.21/0.58 fof(f1144,plain,(
% 0.21/0.58 ~spl0_54),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f1143])).
% 0.21/0.58 fof(f1145,plain,(
% 0.21/0.58 $false|~spl0_52),
% 0.21/0.58 inference(backward_subsumption_resolution,[status(thm)],[f250,f1139])).
% 0.21/0.58 fof(f1146,plain,(
% 0.21/0.58 ~spl0_52),
% 0.21/0.58 inference(contradiction_clause,[status(thm)],[f1145])).
% 0.21/0.58 fof(f1565,plain,(
% 0.21/0.58 spl0_99 <=> cons(hd(sk2),sk2)=sk2),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f1566,plain,(
% 0.21/0.58 cons(hd(sk2),sk2)=sk2|~spl0_99),
% 0.21/0.58 inference(component_clause,[status(thm)],[f1565])).
% 0.21/0.58 fof(f1568,plain,(
% 0.21/0.58 ~ssList(sk2)|cons(hd(sk2),sk2)=sk2|nil=sk2|~spl0_30),
% 0.21/0.58 inference(paramodulation,[status(thm)],[f665,f304])).
% 0.21/0.58 fof(f1569,plain,(
% 0.21/0.58 ~spl0_7|spl0_99|spl0_9|~spl0_30),
% 0.21/0.58 inference(split_clause,[status(thm)],[f1568,f508,f1565,f514,f664])).
% 0.21/0.58 fof(f1582,plain,(
% 0.21/0.58 spl0_100 <=> ssItem(hd(sk2))),
% 0.21/0.58 introduced(split_symbol_definition)).
% 0.21/0.58 fof(f1584,plain,(
% 0.21/0.58 ~ssItem(hd(sk2))|spl0_100),
% 0.21/0.58 inference(component_clause,[status(thm)],[f1582])).
% 0.21/0.58 fof(f1585,plain,(
% 0.21/0.58 ~ssItem(hd(sk2))|~ssList(sk2)|~spl0_99),
% 0.21/0.58 inference(resolution,[status(thm)],[f1566,f299])).
% 0.21/0.58 fof(f1586,plain,(
% 0.21/0.58 ~spl0_100|~spl0_7|~spl0_99),
% 0.21/0.58 inference(split_clause,[status(thm)],[f1585,f1582,f508,f1565])).
% 0.21/0.58 fof(f1616,plain,(
% 0.21/0.58 ~ssList(sk2)|nil=sk2|spl0_100),
% 0.21/0.58 inference(resolution,[status(thm)],[f1584,f276])).
% 0.21/0.58 fof(f1617,plain,(
% 0.21/0.58 ~spl0_7|spl0_9|spl0_100),
% 0.21/0.58 inference(split_clause,[status(thm)],[f1616,f508,f514,f1582])).
% 0.21/0.58 fof(f1618,plain,(
% 0.21/0.58 $false),
% 0.21/0.58 inference(sat_refutation,[status(thm)],[f454,f470,f471,f505,f518,f520,f522,f530,f548,f550,f552,f656,f668,f733,f746,f752,f774,f921,f1109,f1130,f1137,f1144,f1146,f1569,f1586,f1617])).
% 0.21/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.67/0.59 % Elapsed time: 0.238250 seconds
% 1.67/0.59 % CPU time: 1.741649 seconds
% 1.67/0.59 % Total memory used: 81.250 MB
% 1.67/0.59 % Net memory used: 79.907 MB
%------------------------------------------------------------------------------