TSTP Solution File: SWC315-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:45:19 EDT 2024
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:09:27 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f8,axiom,(
% 0.15/0.41 ssList(nil) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f73,axiom,(
% 0.15/0.41 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f74,axiom,(
% 0.15/0.41 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f86,axiom,(
% 0.15/0.41 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f98,axiom,(
% 0.15/0.41 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f100,axiom,(
% 0.15/0.41 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f118,axiom,(
% 0.15/0.41 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f120,axiom,(
% 0.15/0.41 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f150,axiom,(
% 0.15/0.41 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f151,axiom,(
% 0.15/0.41 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f171,axiom,(
% 0.15/0.41 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f187,negated_conjecture,(
% 0.15/0.41 ssList(sk2) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f190,negated_conjecture,(
% 0.15/0.41 sk2 = sk4 ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f191,negated_conjecture,(
% 0.15/0.41 sk1 = sk3 ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f192,negated_conjecture,(
% 0.15/0.41 ( nil = sk3| nil != sk4 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f193,negated_conjecture,(
% 0.15/0.41 ( ssItem(sk5)| nil = sk2 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f194,negated_conjecture,(
% 0.15/0.41 ( ssItem(sk5)| nil != sk1 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f195,negated_conjecture,(
% 0.15/0.41 ( ssList(sk6)| nil = sk2 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f196,negated_conjecture,(
% 0.15/0.41 ( app(cons(sk5,nil),sk6) = sk2| nil = sk2 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f197,negated_conjecture,(
% 0.15/0.41 ( app(sk6,cons(sk5,nil)) != sk1| nil = sk2 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f198,negated_conjecture,(
% 0.15/0.41 ( ssList(sk6)| nil != sk1 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f199,negated_conjecture,(
% 0.15/0.41 ( app(cons(sk5,nil),sk6) = sk2| nil != sk1 ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f201,negated_conjecture,(
% 0.15/0.41 ( ssItem(sk7)| ~ neq(sk4,nil) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f202,negated_conjecture,(
% 0.15/0.41 ( ssList(sk8)| ~ neq(sk4,nil) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f203,negated_conjecture,(
% 0.15/0.41 ( app(cons(sk7,nil),sk8) = sk4| ~ neq(sk4,nil) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f204,negated_conjecture,(
% 0.15/0.41 ( app(sk8,cons(sk7,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f212,plain,(
% 0.15/0.41 ssList(nil)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.41 fof(f278,plain,(
% 0.15/0.41 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.41 fof(f279,plain,(
% 0.15/0.41 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.41 fof(f291,plain,(
% 0.15/0.41 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f86])).
% 0.15/0.41 fof(f303,plain,(
% 0.15/0.41 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f98])).
% 0.15/0.41 fof(f304,plain,(
% 0.15/0.41 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f303])).
% 0.15/0.41 fof(f307,plain,(
% 0.15/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f100])).
% 0.15/0.41 fof(f331,plain,(
% 0.15/0.41 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f118])).
% 0.15/0.41 fof(f332,plain,(
% 0.15/0.41 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f331])).
% 0.15/0.41 fof(f335,plain,(
% 0.15/0.41 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f120])).
% 0.15/0.41 fof(f374,plain,(
% 0.15/0.41 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f150])).
% 0.15/0.41 fof(f375,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f374])).
% 0.15/0.41 fof(f376,plain,(
% 0.15/0.41 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f151])).
% 0.15/0.41 fof(f377,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f376])).
% 0.15/0.41 fof(f407,plain,(
% 0.15/0.41 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f171])).
% 0.15/0.41 fof(f408,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f407])).
% 0.15/0.41 fof(f436,plain,(
% 0.15/0.41 ssList(sk2)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f187])).
% 0.15/0.41 fof(f439,plain,(
% 0.15/0.41 sk2=sk4),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.41 fof(f440,plain,(
% 0.15/0.41 sk1=sk3),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.41 fof(f441,plain,(
% 0.15/0.41 nil=sk3|~nil=sk4),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.41 fof(f442,plain,(
% 0.15/0.41 ssItem(sk5)|nil=sk2),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.41 fof(f443,plain,(
% 0.15/0.41 ssItem(sk5)|~nil=sk1),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.41 fof(f444,plain,(
% 0.15/0.41 ssList(sk6)|nil=sk2),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.41 fof(f445,plain,(
% 0.15/0.41 app(cons(sk5,nil),sk6)=sk2|nil=sk2),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.41 fof(f446,plain,(
% 0.15/0.41 ~app(sk6,cons(sk5,nil))=sk1|nil=sk2),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.41 fof(f447,plain,(
% 0.15/0.41 ssList(sk6)|~nil=sk1),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.41 fof(f448,plain,(
% 0.15/0.41 app(cons(sk5,nil),sk6)=sk2|~nil=sk1),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.41 fof(f450,plain,(
% 0.15/0.41 ssItem(sk7)|~neq(sk4,nil)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f201])).
% 0.15/0.41 fof(f451,plain,(
% 0.15/0.41 ssList(sk8)|~neq(sk4,nil)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f202])).
% 0.15/0.41 fof(f452,plain,(
% 0.15/0.41 app(cons(sk7,nil),sk8)=sk4|~neq(sk4,nil)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f203])).
% 0.15/0.41 fof(f453,plain,(
% 0.15/0.41 app(sk8,cons(sk7,nil))=sk3|~neq(sk4,nil)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f204])).
% 0.15/0.41 fof(f461,plain,(
% 0.15/0.41 spl0_2 <=> nil=sk3),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f462,plain,(
% 0.15/0.41 nil=sk3|~spl0_2),
% 0.15/0.41 inference(component_clause,[status(thm)],[f461])).
% 0.15/0.41 fof(f464,plain,(
% 0.15/0.41 spl0_3 <=> nil=sk4),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f466,plain,(
% 0.15/0.41 ~nil=sk4|spl0_3),
% 0.15/0.41 inference(component_clause,[status(thm)],[f464])).
% 0.15/0.41 fof(f467,plain,(
% 0.15/0.41 spl0_2|~spl0_3),
% 0.15/0.41 inference(split_clause,[status(thm)],[f441,f461,f464])).
% 0.15/0.41 fof(f468,plain,(
% 0.15/0.41 spl0_4 <=> ssItem(sk5)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f471,plain,(
% 0.15/0.41 spl0_5 <=> nil=sk2),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f472,plain,(
% 0.15/0.41 nil=sk2|~spl0_5),
% 0.15/0.41 inference(component_clause,[status(thm)],[f471])).
% 0.15/0.41 fof(f474,plain,(
% 0.15/0.41 spl0_4|spl0_5),
% 0.15/0.41 inference(split_clause,[status(thm)],[f442,f468,f471])).
% 0.15/0.41 fof(f475,plain,(
% 0.15/0.41 spl0_6 <=> nil=sk1),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f477,plain,(
% 0.15/0.41 ~nil=sk1|spl0_6),
% 0.15/0.41 inference(component_clause,[status(thm)],[f475])).
% 0.15/0.41 fof(f478,plain,(
% 0.15/0.41 spl0_4|~spl0_6),
% 0.15/0.41 inference(split_clause,[status(thm)],[f443,f468,f475])).
% 0.15/0.41 fof(f479,plain,(
% 0.15/0.41 spl0_7 <=> ssList(sk6)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f482,plain,(
% 0.15/0.41 spl0_7|spl0_5),
% 0.15/0.41 inference(split_clause,[status(thm)],[f444,f479,f471])).
% 0.15/0.41 fof(f483,plain,(
% 0.15/0.41 spl0_8 <=> app(cons(sk5,nil),sk6)=sk2),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f484,plain,(
% 0.15/0.41 app(cons(sk5,nil),sk6)=sk2|~spl0_8),
% 0.15/0.41 inference(component_clause,[status(thm)],[f483])).
% 0.15/0.41 fof(f486,plain,(
% 0.15/0.41 spl0_8|spl0_5),
% 0.15/0.41 inference(split_clause,[status(thm)],[f445,f483,f471])).
% 0.15/0.41 fof(f487,plain,(
% 0.15/0.41 spl0_9 <=> app(sk6,cons(sk5,nil))=sk1),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f489,plain,(
% 0.15/0.41 ~app(sk6,cons(sk5,nil))=sk1|spl0_9),
% 0.15/0.41 inference(component_clause,[status(thm)],[f487])).
% 0.15/0.41 fof(f490,plain,(
% 0.15/0.41 ~spl0_9|spl0_5),
% 0.15/0.41 inference(split_clause,[status(thm)],[f446,f487,f471])).
% 0.15/0.41 fof(f491,plain,(
% 0.15/0.41 spl0_7|~spl0_6),
% 0.15/0.41 inference(split_clause,[status(thm)],[f447,f479,f475])).
% 0.15/0.41 fof(f492,plain,(
% 0.15/0.41 spl0_8|~spl0_6),
% 0.15/0.41 inference(split_clause,[status(thm)],[f448,f483,f475])).
% 0.15/0.41 fof(f494,plain,(
% 0.15/0.41 spl0_10 <=> ssItem(sk7)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f497,plain,(
% 0.15/0.41 spl0_11 <=> neq(sk4,nil)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f499,plain,(
% 0.15/0.41 ~neq(sk4,nil)|spl0_11),
% 0.15/0.41 inference(component_clause,[status(thm)],[f497])).
% 0.15/0.41 fof(f500,plain,(
% 0.15/0.41 spl0_10|~spl0_11),
% 0.15/0.41 inference(split_clause,[status(thm)],[f450,f494,f497])).
% 0.15/0.41 fof(f501,plain,(
% 0.15/0.41 spl0_12 <=> ssList(sk8)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f504,plain,(
% 0.15/0.41 spl0_12|~spl0_11),
% 0.15/0.41 inference(split_clause,[status(thm)],[f451,f501,f497])).
% 0.15/0.41 fof(f505,plain,(
% 0.15/0.41 spl0_13 <=> app(cons(sk7,nil),sk8)=sk4),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f506,plain,(
% 0.15/0.41 app(cons(sk7,nil),sk8)=sk4|~spl0_13),
% 0.15/0.41 inference(component_clause,[status(thm)],[f505])).
% 0.15/0.41 fof(f508,plain,(
% 0.15/0.41 spl0_13|~spl0_11),
% 0.15/0.41 inference(split_clause,[status(thm)],[f452,f505,f497])).
% 0.15/0.41 fof(f509,plain,(
% 0.15/0.41 spl0_14 <=> app(sk8,cons(sk7,nil))=sk3),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f510,plain,(
% 0.15/0.41 app(sk8,cons(sk7,nil))=sk3|~spl0_14),
% 0.15/0.41 inference(component_clause,[status(thm)],[f509])).
% 0.15/0.41 fof(f512,plain,(
% 0.15/0.41 spl0_14|~spl0_11),
% 0.15/0.41 inference(split_clause,[status(thm)],[f453,f509,f497])).
% 0.15/0.41 fof(f523,plain,(
% 0.15/0.41 ~neq(sk2,nil)|spl0_11),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f439,f499])).
% 0.15/0.41 fof(f528,plain,(
% 0.15/0.41 nil=sk4|~spl0_5),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f472,f439])).
% 0.15/0.41 fof(f529,plain,(
% 0.15/0.41 $false|spl0_3|~spl0_5),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f528,f466])).
% 0.15/0.41 fof(f530,plain,(
% 0.15/0.41 spl0_3|~spl0_5),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f529])).
% 0.15/0.41 fof(f531,plain,(
% 0.15/0.41 sk1=nil|~spl0_2),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f462,f440])).
% 0.15/0.41 fof(f533,plain,(
% 0.15/0.41 spl0_15 <=> ssList(nil)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f535,plain,(
% 0.15/0.41 ~ssList(nil)|spl0_15),
% 0.15/0.41 inference(component_clause,[status(thm)],[f533])).
% 0.15/0.41 fof(f536,plain,(
% 0.15/0.41 spl0_16 <=> ssList(sk2)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f538,plain,(
% 0.15/0.41 ~ssList(sk2)|spl0_16),
% 0.15/0.41 inference(component_clause,[status(thm)],[f536])).
% 0.15/0.41 fof(f539,plain,(
% 0.15/0.41 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_11),
% 0.15/0.41 inference(resolution,[status(thm)],[f307,f523])).
% 0.15/0.41 fof(f540,plain,(
% 0.15/0.41 ~spl0_15|~spl0_16|spl0_5|spl0_11),
% 0.15/0.41 inference(split_clause,[status(thm)],[f539,f533,f536,f471,f497])).
% 0.15/0.41 fof(f541,plain,(
% 0.15/0.41 ~nil=nil|~spl0_2|spl0_6),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f531,f477])).
% 0.15/0.41 fof(f542,plain,(
% 0.15/0.41 $false|~spl0_2|spl0_6),
% 0.15/0.41 inference(trivial_equality_resolution,[status(esa)],[f541])).
% 0.15/0.41 fof(f543,plain,(
% 0.15/0.41 ~spl0_2|spl0_6),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f542])).
% 0.15/0.41 fof(f546,plain,(
% 0.15/0.41 $false|spl0_16),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f538,f436])).
% 0.15/0.41 fof(f547,plain,(
% 0.15/0.41 spl0_16),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f546])).
% 0.15/0.41 fof(f548,plain,(
% 0.15/0.41 app(cons(sk7,nil),sk8)=sk2|~spl0_13),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f439,f506])).
% 0.15/0.41 fof(f559,plain,(
% 0.15/0.41 spl0_19 <=> ssList(cons(sk7,nil))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f561,plain,(
% 0.15/0.41 ~ssList(cons(sk7,nil))|spl0_19),
% 0.15/0.41 inference(component_clause,[status(thm)],[f559])).
% 0.15/0.41 fof(f562,plain,(
% 0.15/0.41 spl0_20 <=> nil=nil),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f575,plain,(
% 0.15/0.41 spl0_23 <=> ssList(cons(sk5,nil))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f577,plain,(
% 0.15/0.41 ~ssList(cons(sk5,nil))|spl0_23),
% 0.15/0.41 inference(component_clause,[status(thm)],[f575])).
% 0.15/0.41 fof(f586,plain,(
% 0.15/0.41 ~ssItem(sk5)|~ssList(nil)|spl0_23),
% 0.15/0.41 inference(resolution,[status(thm)],[f291,f577])).
% 0.15/0.41 fof(f587,plain,(
% 0.15/0.41 ~spl0_4|~spl0_15|spl0_23),
% 0.15/0.41 inference(split_clause,[status(thm)],[f586,f468,f533,f575])).
% 0.15/0.41 fof(f590,plain,(
% 0.15/0.41 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.41 inference(resolution,[status(thm)],[f332,f279])).
% 0.15/0.41 fof(f591,plain,(
% 0.15/0.41 ~spl0_15|spl0_20),
% 0.15/0.41 inference(split_clause,[status(thm)],[f590,f533,f562])).
% 0.15/0.41 fof(f609,plain,(
% 0.15/0.41 $false|spl0_15),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f212,f535])).
% 0.15/0.41 fof(f610,plain,(
% 0.15/0.41 spl0_15),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f609])).
% 0.15/0.41 fof(f619,plain,(
% 0.15/0.41 ~ssItem(sk7)|~ssList(nil)|spl0_19),
% 0.15/0.41 inference(resolution,[status(thm)],[f561,f291])).
% 0.15/0.41 fof(f620,plain,(
% 0.15/0.41 ~spl0_10|~spl0_15|spl0_19),
% 0.15/0.41 inference(split_clause,[status(thm)],[f619,f494,f533,f559])).
% 0.15/0.41 fof(f626,plain,(
% 0.15/0.41 app(sk8,cons(sk7,nil))=sk1|~spl0_14),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f440,f510])).
% 0.15/0.41 fof(f653,plain,(
% 0.15/0.41 spl0_27 <=> sk2=cons(sk5,sk6)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f654,plain,(
% 0.15/0.41 sk2=cons(sk5,sk6)|~spl0_27),
% 0.15/0.41 inference(component_clause,[status(thm)],[f653])).
% 0.15/0.41 fof(f656,plain,(
% 0.15/0.41 ~ssItem(sk5)|~ssList(sk6)|sk2=cons(sk5,sk6)|~spl0_8),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f484,f335])).
% 0.15/0.41 fof(f657,plain,(
% 0.15/0.41 ~spl0_4|~spl0_7|spl0_27|~spl0_8),
% 0.15/0.41 inference(split_clause,[status(thm)],[f656,f468,f479,f653,f483])).
% 0.15/0.41 fof(f663,plain,(
% 0.15/0.41 spl0_29 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f666,plain,(
% 0.15/0.41 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f375,f279])).
% 0.15/0.41 fof(f667,plain,(
% 0.15/0.41 spl0_29|~spl0_15),
% 0.15/0.41 inference(split_clause,[status(thm)],[f666,f663,f533])).
% 0.15/0.41 fof(f686,plain,(
% 0.15/0.41 spl0_33 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f689,plain,(
% 0.15/0.41 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f377,f278])).
% 0.15/0.41 fof(f690,plain,(
% 0.15/0.41 spl0_33|~spl0_15),
% 0.15/0.41 inference(split_clause,[status(thm)],[f689,f686,f533])).
% 0.15/0.41 fof(f693,plain,(
% 0.15/0.41 spl0_34 <=> ~sk2=app(X0,sk6)|~ssList(X0)|cons(sk5,nil)=X0),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f694,plain,(
% 0.15/0.41 ![X0]: (~sk2=app(X0,sk6)|~ssList(X0)|cons(sk5,nil)=X0|~spl0_34)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f693])).
% 0.15/0.41 fof(f696,plain,(
% 0.15/0.41 ![X0]: (~sk2=app(X0,sk6)|~ssList(cons(sk5,nil))|~ssList(sk6)|~ssList(X0)|cons(sk5,nil)=X0|~spl0_8)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f484,f377])).
% 0.15/0.41 fof(f697,plain,(
% 0.15/0.41 spl0_34|~spl0_23|~spl0_7|~spl0_8),
% 0.15/0.41 inference(split_clause,[status(thm)],[f696,f693,f575,f479,f483])).
% 0.15/0.41 fof(f721,plain,(
% 0.15/0.41 spl0_39 <=> ~cons(X0,X1)=sk2|~ssItem(X0)|~ssList(X1)|sk6=X1),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f722,plain,(
% 0.15/0.41 ![X0,X1]: (~cons(X0,X1)=sk2|~ssItem(X0)|~ssList(X1)|sk6=X1|~spl0_39)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f721])).
% 0.15/0.41 fof(f724,plain,(
% 0.15/0.41 ![X0,X1]: (~cons(X0,X1)=sk2|~ssItem(sk5)|~ssItem(X0)|~ssList(sk6)|~ssList(X1)|sk6=X1|~spl0_27)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f654,f408])).
% 0.15/0.41 fof(f725,plain,(
% 0.15/0.41 spl0_39|~spl0_4|~spl0_7|~spl0_27),
% 0.15/0.41 inference(split_clause,[status(thm)],[f724,f721,f468,f479,f653])).
% 0.15/0.41 fof(f740,plain,(
% 0.15/0.41 ~sk2=nil|~ssItem(sk5)|~ssList(sk6)|~spl0_27),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f654,f304])).
% 0.15/0.41 fof(f741,plain,(
% 0.15/0.41 ~spl0_5|~spl0_4|~spl0_7|~spl0_27),
% 0.15/0.41 inference(split_clause,[status(thm)],[f740,f471,f468,f479,f653])).
% 0.15/0.41 fof(f860,plain,(
% 0.15/0.41 spl0_58 <=> sk2=cons(sk7,sk8)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f861,plain,(
% 0.15/0.42 sk2=cons(sk7,sk8)|~spl0_58),
% 0.15/0.42 inference(component_clause,[status(thm)],[f860])).
% 0.15/0.42 fof(f863,plain,(
% 0.15/0.42 ~ssItem(sk7)|~ssList(sk8)|sk2=cons(sk7,sk8)|~spl0_13),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f548,f335])).
% 0.15/0.42 fof(f864,plain,(
% 0.15/0.42 ~spl0_10|~spl0_12|spl0_58|~spl0_13),
% 0.15/0.42 inference(split_clause,[status(thm)],[f863,f494,f501,f860,f505])).
% 0.15/0.42 fof(f974,plain,(
% 0.15/0.42 spl0_74 <=> sk6=sk8),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f975,plain,(
% 0.15/0.42 sk6=sk8|~spl0_74),
% 0.15/0.42 inference(component_clause,[status(thm)],[f974])).
% 0.15/0.42 fof(f977,plain,(
% 0.15/0.42 ~ssItem(sk7)|~ssList(sk8)|sk6=sk8|~spl0_39|~spl0_58),
% 0.15/0.42 inference(resolution,[status(thm)],[f722,f861])).
% 0.15/0.42 fof(f978,plain,(
% 0.15/0.42 ~spl0_10|~spl0_12|spl0_74|~spl0_39|~spl0_58),
% 0.15/0.42 inference(split_clause,[status(thm)],[f977,f494,f501,f974,f721,f860])).
% 0.15/0.42 fof(f1109,plain,(
% 0.15/0.42 app(cons(sk7,nil),sk6)=sk2|~spl0_74|~spl0_13),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f975,f548])).
% 0.15/0.42 fof(f1111,plain,(
% 0.15/0.42 app(sk6,cons(sk7,nil))=sk1|~spl0_74|~spl0_14),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f975,f626])).
% 0.15/0.42 fof(f1113,plain,(
% 0.15/0.42 spl0_83 <=> cons(sk5,nil)=cons(sk7,nil)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f1114,plain,(
% 0.15/0.42 cons(sk5,nil)=cons(sk7,nil)|~spl0_83),
% 0.15/0.42 inference(component_clause,[status(thm)],[f1113])).
% 0.15/0.42 fof(f1124,plain,(
% 0.15/0.42 ~ssList(cons(sk7,nil))|cons(sk5,nil)=cons(sk7,nil)|~spl0_74|~spl0_13|~spl0_34),
% 0.15/0.42 inference(resolution,[status(thm)],[f1109,f694])).
% 0.15/0.42 fof(f1125,plain,(
% 0.15/0.42 ~spl0_19|spl0_83|~spl0_74|~spl0_13|~spl0_34),
% 0.15/0.42 inference(split_clause,[status(thm)],[f1124,f559,f1113,f974,f505,f693])).
% 0.15/0.42 fof(f1203,plain,(
% 0.15/0.42 app(sk6,cons(sk5,nil))=sk1|~spl0_83|~spl0_74|~spl0_14),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f1114,f1111])).
% 0.15/0.42 fof(f1204,plain,(
% 0.15/0.42 $false|spl0_9|~spl0_83|~spl0_74|~spl0_14),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1203,f489])).
% 0.15/0.42 fof(f1205,plain,(
% 0.15/0.42 spl0_9|~spl0_83|~spl0_74|~spl0_14),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1204])).
% 0.15/0.42 fof(f1206,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(sat_refutation,[status(thm)],[f467,f474,f478,f482,f486,f490,f491,f492,f500,f504,f508,f512,f530,f540,f543,f547,f587,f591,f610,f620,f657,f667,f690,f697,f725,f741,f864,f978,f1125,f1205])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.120360 seconds
% 0.15/0.42 % CPU time: 0.797327 seconds
% 0.15/0.42 % Total memory used: 77.848 MB
% 0.15/0.42 % Net memory used: 76.586 MB
%------------------------------------------------------------------------------