TSTP Solution File: SWC315-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n031.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 : Wed May 31 12:40:01 EDT 2023
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:46:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.19/0.39 % Refutation found
% 0.19/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.39 fof(f8,axiom,(
% 0.19/0.39 ssList(nil) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f73,axiom,(
% 0.19/0.39 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f74,axiom,(
% 0.19/0.39 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f85,axiom,(
% 0.19/0.39 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f86,axiom,(
% 0.19/0.39 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f98,axiom,(
% 0.19/0.39 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f100,axiom,(
% 0.19/0.39 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f118,axiom,(
% 0.19/0.39 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f120,axiom,(
% 0.19/0.39 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f150,axiom,(
% 0.19/0.39 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f151,axiom,(
% 0.19/0.39 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f171,axiom,(
% 0.19/0.39 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f190,negated_conjecture,(
% 0.19/0.39 sk2 = sk4 ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f191,negated_conjecture,(
% 0.19/0.39 sk1 = sk3 ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f192,negated_conjecture,(
% 0.19/0.39 ( nil = sk3| nil != sk4 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f193,negated_conjecture,(
% 0.19/0.39 ( ssItem(sk5)| nil = sk2 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f194,negated_conjecture,(
% 0.19/0.39 ( ssItem(sk5)| nil != sk1 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f195,negated_conjecture,(
% 0.19/0.39 ( ssList(sk6)| nil = sk2 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f196,negated_conjecture,(
% 0.19/0.39 ( app(cons(sk5,nil),sk6) = sk2| nil = sk2 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f197,negated_conjecture,(
% 0.19/0.39 ( app(sk6,cons(sk5,nil)) != sk1| nil = sk2 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f198,negated_conjecture,(
% 0.19/0.39 ( ssList(sk6)| nil != sk1 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f199,negated_conjecture,(
% 0.19/0.39 ( app(cons(sk5,nil),sk6) = sk2| nil != sk1 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f201,negated_conjecture,(
% 0.19/0.39 ( ssItem(sk7)| ~ neq(sk4,nil) ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f202,negated_conjecture,(
% 0.19/0.39 ( ssList(sk8)| ~ neq(sk4,nil) ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f203,negated_conjecture,(
% 0.19/0.39 ( app(cons(sk7,nil),sk8) = sk4| ~ neq(sk4,nil) ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f204,negated_conjecture,(
% 0.19/0.39 ( app(sk8,cons(sk7,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f212,plain,(
% 0.19/0.39 ssList(nil)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.39 fof(f278,plain,(
% 0.19/0.39 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f73])).
% 0.19/0.39 fof(f279,plain,(
% 0.19/0.39 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f74])).
% 0.19/0.39 fof(f290,plain,(
% 0.19/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f85])).
% 0.19/0.39 fof(f291,plain,(
% 0.19/0.39 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f86])).
% 0.19/0.39 fof(f303,plain,(
% 0.19/0.39 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.19/0.39 inference(miniscoping,[status(esa)],[f98])).
% 0.19/0.39 fof(f304,plain,(
% 0.19/0.39 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f303])).
% 0.19/0.39 fof(f307,plain,(
% 0.19/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f100])).
% 0.19/0.39 fof(f331,plain,(
% 0.19/0.39 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.19/0.39 inference(miniscoping,[status(esa)],[f118])).
% 0.19/0.39 fof(f332,plain,(
% 0.19/0.39 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f331])).
% 0.19/0.39 fof(f335,plain,(
% 0.19/0.39 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f120])).
% 0.19/0.39 fof(f374,plain,(
% 0.19/0.39 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.19/0.39 inference(miniscoping,[status(esa)],[f150])).
% 0.19/0.39 fof(f375,plain,(
% 0.19/0.39 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f374])).
% 0.19/0.39 fof(f376,plain,(
% 0.19/0.39 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.19/0.39 inference(miniscoping,[status(esa)],[f151])).
% 0.19/0.39 fof(f377,plain,(
% 0.19/0.39 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f376])).
% 0.19/0.39 fof(f407,plain,(
% 0.19/0.39 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.19/0.39 inference(miniscoping,[status(esa)],[f171])).
% 0.19/0.39 fof(f408,plain,(
% 0.19/0.39 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f407])).
% 0.19/0.39 fof(f439,plain,(
% 0.19/0.39 sk2=sk4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f190])).
% 0.19/0.39 fof(f440,plain,(
% 0.19/0.39 sk1=sk3),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f191])).
% 0.19/0.39 fof(f441,plain,(
% 0.19/0.39 nil=sk3|~nil=sk4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.39 fof(f442,plain,(
% 0.19/0.39 ssItem(sk5)|nil=sk2),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f193])).
% 0.19/0.39 fof(f443,plain,(
% 0.19/0.39 ssItem(sk5)|~nil=sk1),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f194])).
% 0.19/0.39 fof(f444,plain,(
% 0.19/0.39 ssList(sk6)|nil=sk2),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f195])).
% 0.19/0.39 fof(f445,plain,(
% 0.19/0.39 app(cons(sk5,nil),sk6)=sk2|nil=sk2),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.39 fof(f446,plain,(
% 0.19/0.39 ~app(sk6,cons(sk5,nil))=sk1|nil=sk2),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f197])).
% 0.19/0.39 fof(f447,plain,(
% 0.19/0.39 ssList(sk6)|~nil=sk1),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.39 fof(f448,plain,(
% 0.19/0.39 app(cons(sk5,nil),sk6)=sk2|~nil=sk1),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f199])).
% 0.19/0.39 fof(f450,plain,(
% 0.19/0.39 ssItem(sk7)|~neq(sk4,nil)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f201])).
% 0.19/0.39 fof(f451,plain,(
% 0.19/0.39 ssList(sk8)|~neq(sk4,nil)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f202])).
% 0.19/0.39 fof(f452,plain,(
% 0.19/0.39 app(cons(sk7,nil),sk8)=sk4|~neq(sk4,nil)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f203])).
% 0.19/0.39 fof(f453,plain,(
% 0.19/0.39 app(sk8,cons(sk7,nil))=sk3|~neq(sk4,nil)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f204])).
% 0.19/0.39 fof(f461,plain,(
% 0.19/0.39 spl0_2 <=> nil=sk3),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f462,plain,(
% 0.19/0.39 nil=sk3|~spl0_2),
% 0.19/0.39 inference(component_clause,[status(thm)],[f461])).
% 0.19/0.39 fof(f464,plain,(
% 0.19/0.39 spl0_3 <=> nil=sk4),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f466,plain,(
% 0.19/0.39 ~nil=sk4|spl0_3),
% 0.19/0.39 inference(component_clause,[status(thm)],[f464])).
% 0.19/0.39 fof(f467,plain,(
% 0.19/0.39 spl0_2|~spl0_3),
% 0.19/0.39 inference(split_clause,[status(thm)],[f441,f461,f464])).
% 0.19/0.39 fof(f468,plain,(
% 0.19/0.39 spl0_4 <=> ssItem(sk5)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f471,plain,(
% 0.19/0.39 spl0_5 <=> nil=sk2),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f472,plain,(
% 0.19/0.39 nil=sk2|~spl0_5),
% 0.19/0.39 inference(component_clause,[status(thm)],[f471])).
% 0.19/0.39 fof(f474,plain,(
% 0.19/0.39 spl0_4|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f442,f468,f471])).
% 0.19/0.39 fof(f475,plain,(
% 0.19/0.39 spl0_6 <=> nil=sk1),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f477,plain,(
% 0.19/0.39 ~nil=sk1|spl0_6),
% 0.19/0.39 inference(component_clause,[status(thm)],[f475])).
% 0.19/0.39 fof(f478,plain,(
% 0.19/0.39 spl0_4|~spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f443,f468,f475])).
% 0.19/0.39 fof(f479,plain,(
% 0.19/0.39 spl0_7 <=> ssList(sk6)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f482,plain,(
% 0.19/0.39 spl0_7|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f444,f479,f471])).
% 0.19/0.39 fof(f483,plain,(
% 0.19/0.39 spl0_8 <=> app(cons(sk5,nil),sk6)=sk2),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f484,plain,(
% 0.19/0.39 app(cons(sk5,nil),sk6)=sk2|~spl0_8),
% 0.19/0.39 inference(component_clause,[status(thm)],[f483])).
% 0.19/0.39 fof(f486,plain,(
% 0.19/0.39 spl0_8|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f445,f483,f471])).
% 0.19/0.39 fof(f487,plain,(
% 0.19/0.39 spl0_9 <=> app(sk6,cons(sk5,nil))=sk1),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f489,plain,(
% 0.19/0.39 ~app(sk6,cons(sk5,nil))=sk1|spl0_9),
% 0.19/0.39 inference(component_clause,[status(thm)],[f487])).
% 0.19/0.39 fof(f490,plain,(
% 0.19/0.39 ~spl0_9|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f446,f487,f471])).
% 0.19/0.39 fof(f491,plain,(
% 0.19/0.39 spl0_7|~spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f447,f479,f475])).
% 0.19/0.39 fof(f492,plain,(
% 0.19/0.39 spl0_8|~spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f448,f483,f475])).
% 0.19/0.39 fof(f494,plain,(
% 0.19/0.39 spl0_10 <=> ssItem(sk7)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f497,plain,(
% 0.19/0.39 spl0_11 <=> neq(sk4,nil)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f499,plain,(
% 0.19/0.39 ~neq(sk4,nil)|spl0_11),
% 0.19/0.39 inference(component_clause,[status(thm)],[f497])).
% 0.19/0.39 fof(f500,plain,(
% 0.19/0.39 spl0_10|~spl0_11),
% 0.19/0.39 inference(split_clause,[status(thm)],[f450,f494,f497])).
% 0.19/0.39 fof(f501,plain,(
% 0.19/0.39 spl0_12 <=> ssList(sk8)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f504,plain,(
% 0.19/0.39 spl0_12|~spl0_11),
% 0.19/0.39 inference(split_clause,[status(thm)],[f451,f501,f497])).
% 0.19/0.39 fof(f505,plain,(
% 0.19/0.39 spl0_13 <=> app(cons(sk7,nil),sk8)=sk4),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f506,plain,(
% 0.19/0.39 app(cons(sk7,nil),sk8)=sk4|~spl0_13),
% 0.19/0.39 inference(component_clause,[status(thm)],[f505])).
% 0.19/0.39 fof(f508,plain,(
% 0.19/0.39 spl0_13|~spl0_11),
% 0.19/0.39 inference(split_clause,[status(thm)],[f452,f505,f497])).
% 0.19/0.39 fof(f509,plain,(
% 0.19/0.39 spl0_14 <=> app(sk8,cons(sk7,nil))=sk3),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f510,plain,(
% 0.19/0.39 app(sk8,cons(sk7,nil))=sk3|~spl0_14),
% 0.19/0.39 inference(component_clause,[status(thm)],[f509])).
% 0.19/0.39 fof(f512,plain,(
% 0.19/0.39 spl0_14|~spl0_11),
% 0.19/0.39 inference(split_clause,[status(thm)],[f453,f509,f497])).
% 0.19/0.39 fof(f544,plain,(
% 0.19/0.39 nil=sk4|~spl0_5),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f472,f439])).
% 0.19/0.39 fof(f547,plain,(
% 0.19/0.39 ~nil=nil|~spl0_5|spl0_3),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f544,f466])).
% 0.19/0.39 fof(f548,plain,(
% 0.19/0.39 $false|~spl0_5|spl0_3),
% 0.19/0.39 inference(trivial_equality_resolution,[status(esa)],[f547])).
% 0.19/0.39 fof(f549,plain,(
% 0.19/0.39 ~spl0_5|spl0_3),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f548])).
% 0.19/0.39 fof(f550,plain,(
% 0.19/0.39 nil=sk1|~spl0_2),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f440,f462])).
% 0.19/0.39 fof(f554,plain,(
% 0.19/0.39 ~neq(sk2,nil)|spl0_11),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f439,f499])).
% 0.19/0.39 fof(f555,plain,(
% 0.19/0.39 spl0_15 <=> ssList(cons(sk5,nil))),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f557,plain,(
% 0.19/0.39 ~ssList(cons(sk5,nil))|spl0_15),
% 0.19/0.39 inference(component_clause,[status(thm)],[f555])).
% 0.19/0.39 fof(f558,plain,(
% 0.19/0.39 spl0_16 <=> ssList(sk2)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f561,plain,(
% 0.19/0.39 ~ssList(sk6)|~ssList(cons(sk5,nil))|ssList(sk2)|~spl0_8),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f484,f290])).
% 0.19/0.39 fof(f562,plain,(
% 0.19/0.39 ~spl0_7|~spl0_15|spl0_16|~spl0_8),
% 0.19/0.39 inference(split_clause,[status(thm)],[f561,f479,f555,f558,f483])).
% 0.19/0.39 fof(f563,plain,(
% 0.19/0.39 ~nil=nil|~spl0_2|spl0_6),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f550,f477])).
% 0.19/0.39 fof(f564,plain,(
% 0.19/0.39 $false|~spl0_2|spl0_6),
% 0.19/0.39 inference(trivial_equality_resolution,[status(esa)],[f563])).
% 0.19/0.39 fof(f565,plain,(
% 0.19/0.39 ~spl0_2|spl0_6),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f564])).
% 0.19/0.39 fof(f569,plain,(
% 0.19/0.39 spl0_17 <=> ssList(nil)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f571,plain,(
% 0.19/0.39 ~ssList(nil)|spl0_17),
% 0.19/0.39 inference(component_clause,[status(thm)],[f569])).
% 0.19/0.39 fof(f572,plain,(
% 0.19/0.39 ~ssItem(sk5)|~ssList(nil)|spl0_15),
% 0.19/0.39 inference(resolution,[status(thm)],[f291,f557])).
% 0.19/0.39 fof(f573,plain,(
% 0.19/0.39 ~spl0_4|~spl0_17|spl0_15),
% 0.19/0.39 inference(split_clause,[status(thm)],[f572,f468,f569,f555])).
% 0.19/0.39 fof(f574,plain,(
% 0.19/0.39 $false|spl0_17),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f571,f212])).
% 0.19/0.39 fof(f575,plain,(
% 0.19/0.39 spl0_17),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f574])).
% 0.19/0.39 fof(f588,plain,(
% 0.19/0.39 spl0_18 <=> nil=nil),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f596,plain,(
% 0.19/0.39 spl0_19 <=> ssList(cons(sk7,nil))),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f598,plain,(
% 0.19/0.39 ~ssList(cons(sk7,nil))|spl0_19),
% 0.19/0.39 inference(component_clause,[status(thm)],[f596])).
% 0.19/0.39 fof(f603,plain,(
% 0.19/0.39 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_11),
% 0.19/0.39 inference(resolution,[status(thm)],[f554,f307])).
% 0.19/0.39 fof(f604,plain,(
% 0.19/0.39 ~spl0_17|~spl0_16|spl0_5|spl0_11),
% 0.19/0.39 inference(split_clause,[status(thm)],[f603,f569,f558,f471,f497])).
% 0.19/0.39 fof(f608,plain,(
% 0.19/0.39 app(cons(sk7,nil),sk8)=sk2|~spl0_13),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f439,f506])).
% 0.19/0.39 fof(f634,plain,(
% 0.19/0.39 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.19/0.39 inference(resolution,[status(thm)],[f332,f279])).
% 0.19/0.39 fof(f635,plain,(
% 0.19/0.39 ~spl0_17|spl0_18),
% 0.19/0.39 inference(split_clause,[status(thm)],[f634,f569,f588])).
% 0.19/0.39 fof(f645,plain,(
% 0.19/0.39 spl0_23 <=> nil=cons(sk5,nil)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f646,plain,(
% 0.19/0.39 nil=cons(sk5,nil)|~spl0_23),
% 0.19/0.39 inference(component_clause,[status(thm)],[f645])).
% 0.19/0.39 fof(f648,plain,(
% 0.19/0.39 ~sk2=nil|~ssList(sk6)|~ssList(cons(sk5,nil))|nil=cons(sk5,nil)|~spl0_8),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f484,f332])).
% 0.19/0.39 fof(f649,plain,(
% 0.19/0.39 ~spl0_5|~spl0_7|~spl0_15|spl0_23|~spl0_8),
% 0.19/0.39 inference(split_clause,[status(thm)],[f648,f471,f479,f555,f645,f483])).
% 0.19/0.39 fof(f662,plain,(
% 0.19/0.39 ~ssItem(sk5)|~ssList(nil)|~spl0_23),
% 0.19/0.39 inference(resolution,[status(thm)],[f646,f304])).
% 0.19/0.39 fof(f663,plain,(
% 0.19/0.39 ~spl0_4|~spl0_17|~spl0_23),
% 0.19/0.39 inference(split_clause,[status(thm)],[f662,f468,f569,f645])).
% 0.19/0.39 fof(f676,plain,(
% 0.19/0.39 spl0_24 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f679,plain,(
% 0.19/0.39 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.19/0.39 inference(resolution,[status(thm)],[f375,f279])).
% 0.19/0.39 fof(f680,plain,(
% 0.19/0.39 spl0_24|~spl0_17),
% 0.19/0.39 inference(split_clause,[status(thm)],[f679,f676,f569])).
% 0.19/0.39 fof(f692,plain,(
% 0.19/0.39 spl0_27 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f695,plain,(
% 0.19/0.39 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.19/0.39 inference(resolution,[status(thm)],[f377,f278])).
% 0.19/0.39 fof(f696,plain,(
% 0.19/0.39 spl0_27|~spl0_17),
% 0.19/0.39 inference(split_clause,[status(thm)],[f695,f692,f569])).
% 0.19/0.39 fof(f715,plain,(
% 0.19/0.39 spl0_31 <=> sk2=cons(sk7,sk8)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f716,plain,(
% 0.19/0.39 sk2=cons(sk7,sk8)|~spl0_31),
% 0.19/0.39 inference(component_clause,[status(thm)],[f715])).
% 0.19/0.39 fof(f718,plain,(
% 0.19/0.39 ~ssItem(sk7)|~ssList(sk8)|sk2=cons(sk7,sk8)|~spl0_13),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f608,f335])).
% 0.19/0.39 fof(f719,plain,(
% 0.19/0.39 ~spl0_10|~spl0_12|spl0_31|~spl0_13),
% 0.19/0.39 inference(split_clause,[status(thm)],[f718,f494,f501,f715,f505])).
% 0.19/0.39 fof(f750,plain,(
% 0.19/0.39 spl0_36 <=> ~cons(X0,X1)=sk2|~ssItem(X0)|~ssList(X1)|sk8=X1),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f751,plain,(
% 0.19/0.39 ![X0,X1]: (~cons(X0,X1)=sk2|~ssItem(X0)|~ssList(X1)|sk8=X1|~spl0_36)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f750])).
% 0.19/0.39 fof(f753,plain,(
% 0.19/0.39 ![X0,X1]: (~cons(X0,X1)=sk2|~ssItem(sk7)|~ssItem(X0)|~ssList(sk8)|~ssList(X1)|sk8=X1|~spl0_31)),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f716,f408])).
% 0.19/0.39 fof(f754,plain,(
% 0.19/0.39 spl0_36|~spl0_10|~spl0_12|~spl0_31),
% 0.19/0.39 inference(split_clause,[status(thm)],[f753,f750,f494,f501,f715])).
% 0.19/0.39 fof(f778,plain,(
% 0.19/0.39 spl0_40 <=> sk2=cons(sk5,sk6)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f779,plain,(
% 0.19/0.39 sk2=cons(sk5,sk6)|~spl0_40),
% 0.19/0.39 inference(component_clause,[status(thm)],[f778])).
% 0.19/0.39 fof(f781,plain,(
% 0.19/0.39 ~ssItem(sk5)|~ssList(sk6)|sk2=cons(sk5,sk6)|~spl0_8),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f484,f335])).
% 0.19/0.39 fof(f782,plain,(
% 0.19/0.39 ~spl0_4|~spl0_7|spl0_40|~spl0_8),
% 0.19/0.39 inference(split_clause,[status(thm)],[f781,f468,f479,f778,f483])).
% 0.19/0.39 fof(f788,plain,(
% 0.19/0.39 spl0_42 <=> ~app(X0,sk6)=sk2|~ssList(X0)|X0=cons(sk5,nil)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f789,plain,(
% 0.19/0.39 ![X0]: (~app(X0,sk6)=sk2|~ssList(X0)|X0=cons(sk5,nil)|~spl0_42)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f788])).
% 0.19/0.39 fof(f791,plain,(
% 0.19/0.39 ![X0]: (~app(X0,sk6)=sk2|~ssList(X0)|~ssList(sk6)|~ssList(cons(sk5,nil))|X0=cons(sk5,nil)|~spl0_8)),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f484,f377])).
% 0.19/0.39 fof(f792,plain,(
% 0.19/0.39 spl0_42|~spl0_7|~spl0_15|~spl0_8),
% 0.19/0.39 inference(split_clause,[status(thm)],[f791,f788,f479,f555,f483])).
% 0.19/0.39 fof(f844,plain,(
% 0.19/0.39 ~ssItem(sk7)|~ssList(nil)|spl0_19),
% 0.19/0.39 inference(resolution,[status(thm)],[f598,f291])).
% 0.19/0.39 fof(f845,plain,(
% 0.19/0.39 ~spl0_10|~spl0_17|spl0_19),
% 0.19/0.39 inference(split_clause,[status(thm)],[f844,f494,f569,f596])).
% 0.19/0.39 fof(f847,plain,(
% 0.19/0.39 app(sk8,cons(sk7,nil))=sk1|~spl0_14),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f440,f510])).
% 0.19/0.39 fof(f946,plain,(
% 0.19/0.39 spl0_64 <=> sk8=sk6),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f947,plain,(
% 0.19/0.39 sk8=sk6|~spl0_64),
% 0.19/0.39 inference(component_clause,[status(thm)],[f946])).
% 0.19/0.39 fof(f949,plain,(
% 0.19/0.39 ~ssItem(sk5)|~ssList(sk6)|sk8=sk6|~spl0_36|~spl0_40),
% 0.19/0.39 inference(resolution,[status(thm)],[f751,f779])).
% 0.19/0.39 fof(f950,plain,(
% 0.19/0.39 ~spl0_4|~spl0_7|spl0_64|~spl0_36|~spl0_40),
% 0.19/0.39 inference(split_clause,[status(thm)],[f949,f468,f479,f946,f750,f778])).
% 0.19/0.39 fof(f969,plain,(
% 0.19/0.39 app(sk6,cons(sk7,nil))=sk1|~spl0_64|~spl0_14),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f947,f847])).
% 0.19/0.39 fof(f971,plain,(
% 0.19/0.39 app(cons(sk7,nil),sk6)=sk2|~spl0_64|~spl0_13),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f947,f608])).
% 0.19/0.39 fof(f1087,plain,(
% 0.19/0.39 spl0_80 <=> cons(sk7,nil)=cons(sk5,nil)),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f1088,plain,(
% 0.19/0.39 cons(sk7,nil)=cons(sk5,nil)|~spl0_80),
% 0.19/0.39 inference(component_clause,[status(thm)],[f1087])).
% 0.19/0.39 fof(f1090,plain,(
% 0.19/0.39 ~ssList(cons(sk7,nil))|cons(sk7,nil)=cons(sk5,nil)|~spl0_42|~spl0_64|~spl0_13),
% 0.19/0.39 inference(resolution,[status(thm)],[f789,f971])).
% 0.19/0.39 fof(f1091,plain,(
% 0.19/0.39 ~spl0_19|spl0_80|~spl0_42|~spl0_64|~spl0_13),
% 0.19/0.39 inference(split_clause,[status(thm)],[f1090,f596,f1087,f788,f946,f505])).
% 0.19/0.39 fof(f1107,plain,(
% 0.19/0.39 app(sk6,cons(sk5,nil))=sk1|~spl0_80|~spl0_64|~spl0_14),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f1088,f969])).
% 0.19/0.39 fof(f1108,plain,(
% 0.19/0.39 $false|spl0_9|~spl0_80|~spl0_64|~spl0_14),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1107,f489])).
% 0.19/0.39 fof(f1109,plain,(
% 0.19/0.39 spl0_9|~spl0_80|~spl0_64|~spl0_14),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f1108])).
% 0.19/0.39 fof(f1110,plain,(
% 0.19/0.39 $false),
% 0.19/0.39 inference(sat_refutation,[status(thm)],[f467,f474,f478,f482,f486,f490,f491,f492,f500,f504,f508,f512,f549,f562,f565,f573,f575,f604,f635,f649,f663,f680,f696,f719,f754,f782,f792,f845,f950,f1091,f1109])).
% 0.19/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41 % Elapsed time: 0.057458 seconds
% 0.19/0.41 % CPU time: 0.265971 seconds
% 0.19/0.41 % Memory used: 29.768 MB
%------------------------------------------------------------------------------