TSTP Solution File: SWC327-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:45:22 EDT 2024
% Result : Unsatisfiable 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n016.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 Apr 30 00:42:25 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.36 % Drodi V3.6.0
% 0.18/0.36 % Refutation found
% 0.18/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.36 fof(f8,axiom,(
% 0.18/0.36 ssList(nil) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f72,axiom,(
% 0.18/0.36 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f73,axiom,(
% 0.18/0.36 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f74,axiom,(
% 0.18/0.36 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f85,axiom,(
% 0.18/0.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f118,axiom,(
% 0.18/0.36 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f149,axiom,(
% 0.18/0.36 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f150,axiom,(
% 0.18/0.36 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f151,axiom,(
% 0.18/0.36 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f186,negated_conjecture,(
% 0.18/0.36 ssList(sk1) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f190,negated_conjecture,(
% 0.18/0.36 sk2 = sk4 ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f191,negated_conjecture,(
% 0.18/0.36 sk1 = sk3 ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f192,negated_conjecture,(
% 0.18/0.36 ssList(sk5) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f193,negated_conjecture,(
% 0.18/0.36 app(sk3,sk5) = sk4 ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f194,negated_conjecture,(
% 0.18/0.36 equalelemsP(sk3) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f195,negated_conjecture,(
% 0.18/0.36 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| app(cons(A,nil),B) != sk5| ~ ssList(C)| app(C,cons(A,nil)) != sk3 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f196,negated_conjecture,(
% 0.18/0.36 ( nil = sk4| nil != sk3 ) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f197,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssItem(sk6(A))| ~ equalelemsP(sk1)| nil = sk1 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f198,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssItem(sk6(A))| ~ equalelemsP(sk1)| nil != sk2 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f199,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk7(A))| ~ equalelemsP(sk1)| nil = sk1 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f200,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(cons(sk6(A),nil),sk7(A)) = A| ~ equalelemsP(sk1)| nil = sk1 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f201,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk8(A))| ~ equalelemsP(sk1)| nil = sk1 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f202,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(sk8(A),cons(sk6(A),nil)) = sk1| ~ equalelemsP(sk1)| nil = sk1 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f203,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk7(A))| ~ equalelemsP(sk1)| nil != sk2 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f204,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(cons(sk6(A),nil),sk7(A)) = A| ~ equalelemsP(sk1)| nil != sk2 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f205,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| ssList(sk8(A))| ~ equalelemsP(sk1)| nil != sk2 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f206,negated_conjecture,(
% 0.18/0.36 (![A]: (( ~ ssList(A)| app(sk1,A) != sk2| app(sk8(A),cons(sk6(A),nil)) = sk1| ~ equalelemsP(sk1)| nil != sk2 ) ))),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f214,plain,(
% 0.18/0.36 ssList(nil)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.18/0.36 fof(f278,plain,(
% 0.18/0.36 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f72])).
% 0.18/0.36 fof(f279,plain,(
% 0.18/0.36 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f278])).
% 0.18/0.36 fof(f280,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f73])).
% 0.18/0.36 fof(f281,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f74])).
% 0.18/0.36 fof(f292,plain,(
% 0.18/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f85])).
% 0.18/0.36 fof(f333,plain,(
% 0.18/0.36 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f118])).
% 0.18/0.36 fof(f334,plain,(
% 0.18/0.36 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f333])).
% 0.18/0.36 fof(f375,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f149])).
% 0.18/0.36 fof(f376,plain,(
% 0.18/0.36 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f150])).
% 0.18/0.36 fof(f377,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f376])).
% 0.18/0.36 fof(f378,plain,(
% 0.18/0.36 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f151])).
% 0.18/0.36 fof(f379,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f378])).
% 0.18/0.36 fof(f437,plain,(
% 0.18/0.36 ssList(sk1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f186])).
% 0.18/0.36 fof(f441,plain,(
% 0.18/0.36 sk2=sk4),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.18/0.36 fof(f442,plain,(
% 0.18/0.36 sk1=sk3),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.18/0.36 fof(f443,plain,(
% 0.18/0.36 ssList(sk5)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.18/0.36 fof(f444,plain,(
% 0.18/0.36 app(sk3,sk5)=sk4),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f193])).
% 0.18/0.36 fof(f445,plain,(
% 0.18/0.36 equalelemsP(sk3)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f194])).
% 0.18/0.36 fof(f446,plain,(
% 0.18/0.36 ![A,C]: (((![B]: ((~ssItem(A)|~ssList(B))|~app(cons(A,nil),B)=sk5))|~ssList(C))|~app(C,cons(A,nil))=sk3)),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f195])).
% 0.18/0.36 fof(f447,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk5|~ssList(X2)|~app(X2,cons(X0,nil))=sk3)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f446])).
% 0.18/0.36 fof(f448,plain,(
% 0.18/0.36 nil=sk4|~nil=sk3),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f196])).
% 0.18/0.36 fof(f449,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssItem(sk6(A))))|~equalelemsP(sk1))|nil=sk1),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f197])).
% 0.18/0.36 fof(f450,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))|~equalelemsP(sk1)|nil=sk1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f449])).
% 0.18/0.36 fof(f451,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssItem(sk6(A))))|~equalelemsP(sk1))|~nil=sk2),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f198])).
% 0.18/0.36 fof(f452,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))|~equalelemsP(sk1)|~nil=sk2)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f451])).
% 0.18/0.36 fof(f453,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk7(A))))|~equalelemsP(sk1))|nil=sk1),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f199])).
% 0.18/0.36 fof(f454,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))|~equalelemsP(sk1)|nil=sk1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f453])).
% 0.18/0.36 fof(f455,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(cons(sk6(A),nil),sk7(A))=A))|~equalelemsP(sk1))|nil=sk1),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f200])).
% 0.18/0.36 fof(f456,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0|~equalelemsP(sk1)|nil=sk1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f455])).
% 0.18/0.36 fof(f457,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk8(A))))|~equalelemsP(sk1))|nil=sk1),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f201])).
% 0.18/0.36 fof(f458,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk8(X0))|~equalelemsP(sk1)|nil=sk1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f457])).
% 0.18/0.36 fof(f459,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(sk8(A),cons(sk6(A),nil))=sk1))|~equalelemsP(sk1))|nil=sk1),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f202])).
% 0.18/0.36 fof(f460,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(sk8(X0),cons(sk6(X0),nil))=sk1|~equalelemsP(sk1)|nil=sk1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f459])).
% 0.18/0.36 fof(f461,plain,(
% 0.18/0.36 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk7(A))))|~equalelemsP(sk1))|~nil=sk2),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f203])).
% 0.18/0.36 fof(f462,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))|~equalelemsP(sk1)|~nil=sk2)),
% 0.18/0.37 inference(cnf_transformation,[status(esa)],[f461])).
% 0.18/0.37 fof(f463,plain,(
% 0.18/0.37 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(cons(sk6(A),nil),sk7(A))=A))|~equalelemsP(sk1))|~nil=sk2),
% 0.18/0.37 inference(miniscoping,[status(esa)],[f204])).
% 0.18/0.37 fof(f464,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0|~equalelemsP(sk1)|~nil=sk2)),
% 0.18/0.37 inference(cnf_transformation,[status(esa)],[f463])).
% 0.18/0.37 fof(f465,plain,(
% 0.18/0.37 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|ssList(sk8(A))))|~equalelemsP(sk1))|~nil=sk2),
% 0.18/0.37 inference(miniscoping,[status(esa)],[f205])).
% 0.18/0.37 fof(f466,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk8(X0))|~equalelemsP(sk1)|~nil=sk2)),
% 0.18/0.37 inference(cnf_transformation,[status(esa)],[f465])).
% 0.18/0.37 fof(f467,plain,(
% 0.18/0.37 ((![A]: ((~ssList(A)|~app(sk1,A)=sk2)|app(sk8(A),cons(sk6(A),nil))=sk1))|~equalelemsP(sk1))|~nil=sk2),
% 0.18/0.37 inference(miniscoping,[status(esa)],[f206])).
% 0.18/0.37 fof(f468,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(sk8(X0),cons(sk6(X0),nil))=sk1|~equalelemsP(sk1)|~nil=sk2)),
% 0.18/0.37 inference(cnf_transformation,[status(esa)],[f467])).
% 0.18/0.37 fof(f469,plain,(
% 0.18/0.37 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f470,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.18/0.37 fof(f472,plain,(
% 0.18/0.37 spl0_1 <=> ssItem(X1)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f475,plain,(
% 0.18/0.37 spl0_0|spl0_1),
% 0.18/0.37 inference(split_clause,[status(thm)],[f279,f469,f472])).
% 0.18/0.37 fof(f476,plain,(
% 0.18/0.37 spl0_2 <=> nil=sk4),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f477,plain,(
% 0.18/0.37 nil=sk4|~spl0_2),
% 0.18/0.37 inference(component_clause,[status(thm)],[f476])).
% 0.18/0.37 fof(f479,plain,(
% 0.18/0.37 spl0_3 <=> nil=sk3),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f481,plain,(
% 0.18/0.37 ~nil=sk3|spl0_3),
% 0.18/0.37 inference(component_clause,[status(thm)],[f479])).
% 0.18/0.37 fof(f482,plain,(
% 0.18/0.37 spl0_2|~spl0_3),
% 0.18/0.37 inference(split_clause,[status(thm)],[f448,f476,f479])).
% 0.18/0.37 fof(f483,plain,(
% 0.18/0.37 spl0_4 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f484,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssItem(sk6(X0))|~spl0_4)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f483])).
% 0.18/0.37 fof(f486,plain,(
% 0.18/0.37 spl0_5 <=> equalelemsP(sk1)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f488,plain,(
% 0.18/0.37 ~equalelemsP(sk1)|spl0_5),
% 0.18/0.37 inference(component_clause,[status(thm)],[f486])).
% 0.18/0.37 fof(f489,plain,(
% 0.18/0.37 spl0_6 <=> nil=sk1),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f490,plain,(
% 0.18/0.37 nil=sk1|~spl0_6),
% 0.18/0.37 inference(component_clause,[status(thm)],[f489])).
% 0.18/0.37 fof(f492,plain,(
% 0.18/0.37 spl0_4|~spl0_5|spl0_6),
% 0.18/0.37 inference(split_clause,[status(thm)],[f450,f483,f486,f489])).
% 0.18/0.37 fof(f493,plain,(
% 0.18/0.37 spl0_7 <=> nil=sk2),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f495,plain,(
% 0.18/0.37 ~nil=sk2|spl0_7),
% 0.18/0.37 inference(component_clause,[status(thm)],[f493])).
% 0.18/0.37 fof(f496,plain,(
% 0.18/0.37 spl0_4|~spl0_5|~spl0_7),
% 0.18/0.37 inference(split_clause,[status(thm)],[f452,f483,f486,f493])).
% 0.18/0.37 fof(f497,plain,(
% 0.18/0.37 spl0_8 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f498,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk7(X0))|~spl0_8)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f497])).
% 0.18/0.37 fof(f500,plain,(
% 0.18/0.37 spl0_8|~spl0_5|spl0_6),
% 0.18/0.37 inference(split_clause,[status(thm)],[f454,f497,f486,f489])).
% 0.18/0.37 fof(f501,plain,(
% 0.18/0.37 spl0_9 <=> ~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f502,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(cons(sk6(X0),nil),sk7(X0))=X0|~spl0_9)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f501])).
% 0.18/0.37 fof(f504,plain,(
% 0.18/0.37 spl0_9|~spl0_5|spl0_6),
% 0.18/0.37 inference(split_clause,[status(thm)],[f456,f501,f486,f489])).
% 0.18/0.37 fof(f505,plain,(
% 0.18/0.37 spl0_10 <=> ~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk8(X0))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f506,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|ssList(sk8(X0))|~spl0_10)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f505])).
% 0.18/0.37 fof(f508,plain,(
% 0.18/0.37 spl0_10|~spl0_5|spl0_6),
% 0.18/0.37 inference(split_clause,[status(thm)],[f458,f505,f486,f489])).
% 0.18/0.37 fof(f509,plain,(
% 0.18/0.37 spl0_11 <=> ~ssList(X0)|~app(sk1,X0)=sk2|app(sk8(X0),cons(sk6(X0),nil))=sk1),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f510,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk2|app(sk8(X0),cons(sk6(X0),nil))=sk1|~spl0_11)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f509])).
% 0.18/0.37 fof(f512,plain,(
% 0.18/0.37 spl0_11|~spl0_5|spl0_6),
% 0.18/0.37 inference(split_clause,[status(thm)],[f460,f509,f486,f489])).
% 0.18/0.37 fof(f513,plain,(
% 0.18/0.37 spl0_8|~spl0_5|~spl0_7),
% 0.18/0.37 inference(split_clause,[status(thm)],[f462,f497,f486,f493])).
% 0.18/0.37 fof(f514,plain,(
% 0.18/0.37 spl0_9|~spl0_5|~spl0_7),
% 0.18/0.37 inference(split_clause,[status(thm)],[f464,f501,f486,f493])).
% 0.18/0.37 fof(f515,plain,(
% 0.18/0.37 spl0_10|~spl0_5|~spl0_7),
% 0.18/0.37 inference(split_clause,[status(thm)],[f466,f505,f486,f493])).
% 0.18/0.37 fof(f516,plain,(
% 0.18/0.37 spl0_11|~spl0_5|~spl0_7),
% 0.18/0.37 inference(split_clause,[status(thm)],[f468,f509,f486,f493])).
% 0.18/0.37 fof(f548,plain,(
% 0.18/0.37 equalelemsP(sk1)),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f442,f445])).
% 0.18/0.37 fof(f549,plain,(
% 0.18/0.37 app(sk1,sk5)=sk4),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f442,f444])).
% 0.18/0.37 fof(f550,plain,(
% 0.18/0.37 app(sk1,sk5)=sk2),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f441,f549])).
% 0.18/0.37 fof(f551,plain,(
% 0.18/0.37 spl0_12 <=> ssList(sk5)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f553,plain,(
% 0.18/0.37 ~ssList(sk5)|spl0_12),
% 0.18/0.37 inference(component_clause,[status(thm)],[f551])).
% 0.18/0.37 fof(f554,plain,(
% 0.18/0.37 spl0_13 <=> ssList(sk1)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f556,plain,(
% 0.18/0.37 ~ssList(sk1)|spl0_13),
% 0.18/0.37 inference(component_clause,[status(thm)],[f554])).
% 0.18/0.37 fof(f557,plain,(
% 0.18/0.37 spl0_14 <=> ssList(sk2)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f560,plain,(
% 0.18/0.37 ~ssList(sk5)|~ssList(sk1)|ssList(sk2)),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f550,f292])).
% 0.18/0.37 fof(f561,plain,(
% 0.18/0.37 ~spl0_12|~spl0_13|spl0_14),
% 0.18/0.37 inference(split_clause,[status(thm)],[f560,f551,f554,f557])).
% 0.18/0.37 fof(f562,plain,(
% 0.18/0.37 $false|spl0_13),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f556,f437])).
% 0.18/0.37 fof(f563,plain,(
% 0.18/0.37 spl0_13),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f562])).
% 0.18/0.37 fof(f564,plain,(
% 0.18/0.37 $false|spl0_12),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f553,f443])).
% 0.18/0.37 fof(f565,plain,(
% 0.18/0.37 spl0_12),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f564])).
% 0.18/0.37 fof(f566,plain,(
% 0.18/0.37 ~nil=sk1|spl0_3),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f442,f481])).
% 0.18/0.37 fof(f567,plain,(
% 0.18/0.37 $false|spl0_5),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f488,f548])).
% 0.18/0.37 fof(f568,plain,(
% 0.18/0.37 spl0_5),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f567])).
% 0.18/0.37 fof(f569,plain,(
% 0.18/0.37 $false|spl0_3|~spl0_6),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f490,f566])).
% 0.18/0.37 fof(f570,plain,(
% 0.18/0.37 spl0_3|~spl0_6),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f569])).
% 0.18/0.37 fof(f571,plain,(
% 0.18/0.37 nil=sk2|~spl0_2),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f441,f477])).
% 0.18/0.37 fof(f572,plain,(
% 0.18/0.37 $false|spl0_7|~spl0_2),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f571,f495])).
% 0.18/0.37 fof(f573,plain,(
% 0.18/0.37 spl0_7|~spl0_2),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f572])).
% 0.18/0.37 fof(f595,plain,(
% 0.18/0.37 spl0_17 <=> ssList(nil)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f597,plain,(
% 0.18/0.37 ~ssList(nil)|spl0_17),
% 0.18/0.37 inference(component_clause,[status(thm)],[f595])).
% 0.18/0.37 fof(f602,plain,(
% 0.18/0.37 spl0_18 <=> nil=nil),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f621,plain,(
% 0.18/0.37 ![X0,X1]: (duplicatefreeP(app(X0,X1))|~ssList(X1)|~ssList(X0)|~spl0_0)),
% 0.18/0.37 inference(resolution,[status(thm)],[f470,f292])).
% 0.18/0.37 fof(f624,plain,(
% 0.18/0.37 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk5|~ssList(X2)|~app(X2,cons(X0,nil))=sk1)),
% 0.18/0.37 inference(forward_demodulation,[status(thm)],[f442,f447])).
% 0.18/0.37 fof(f625,plain,(
% 0.18/0.37 spl0_19 <=> ssItem(sk6(sk5))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f628,plain,(
% 0.18/0.37 spl0_20 <=> ssList(sk7(sk5))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f631,plain,(
% 0.18/0.37 spl0_21 <=> ~ssList(X0)|~app(X0,cons(sk6(sk5),nil))=sk1),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f632,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~app(X0,cons(sk6(sk5),nil))=sk1|~spl0_21)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f631])).
% 0.18/0.37 fof(f634,plain,(
% 0.18/0.37 spl0_22 <=> app(sk1,sk5)=sk2),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f636,plain,(
% 0.18/0.37 ~app(sk1,sk5)=sk2|spl0_22),
% 0.18/0.37 inference(component_clause,[status(thm)],[f634])).
% 0.18/0.37 fof(f637,plain,(
% 0.18/0.37 ![X0]: (~ssItem(sk6(sk5))|~ssList(sk7(sk5))|~ssList(X0)|~app(X0,cons(sk6(sk5),nil))=sk1|~ssList(sk5)|~app(sk1,sk5)=sk2|~spl0_9)),
% 0.18/0.37 inference(resolution,[status(thm)],[f624,f502])).
% 0.18/0.37 fof(f638,plain,(
% 0.18/0.37 ~spl0_19|~spl0_20|spl0_21|~spl0_12|~spl0_22|~spl0_9),
% 0.18/0.37 inference(split_clause,[status(thm)],[f637,f625,f628,f631,f551,f634,f501])).
% 0.18/0.37 fof(f642,plain,(
% 0.18/0.37 $false|spl0_22),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f550,f636])).
% 0.18/0.37 fof(f643,plain,(
% 0.18/0.37 spl0_22),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f642])).
% 0.18/0.37 fof(f644,plain,(
% 0.18/0.37 ~ssList(sk5)|ssItem(sk6(sk5))|~spl0_4),
% 0.18/0.37 inference(resolution,[status(thm)],[f550,f484])).
% 0.18/0.37 fof(f645,plain,(
% 0.18/0.37 ~spl0_12|spl0_19|~spl0_4),
% 0.18/0.37 inference(split_clause,[status(thm)],[f644,f551,f625,f483])).
% 0.18/0.37 fof(f646,plain,(
% 0.18/0.37 spl0_23 <=> ssList(sk8(sk5))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f649,plain,(
% 0.18/0.37 ~ssList(sk5)|ssList(sk8(sk5))|~spl0_10),
% 0.18/0.37 inference(resolution,[status(thm)],[f550,f506])).
% 0.18/0.37 fof(f650,plain,(
% 0.18/0.37 ~spl0_12|spl0_23|~spl0_10),
% 0.18/0.37 inference(split_clause,[status(thm)],[f649,f551,f646,f505])).
% 0.18/0.37 fof(f651,plain,(
% 0.18/0.37 ~ssList(sk5)|ssList(sk7(sk5))|~spl0_8),
% 0.18/0.37 inference(resolution,[status(thm)],[f550,f498])).
% 0.18/0.37 fof(f652,plain,(
% 0.18/0.37 ~spl0_12|spl0_20|~spl0_8),
% 0.18/0.37 inference(split_clause,[status(thm)],[f651,f551,f628,f497])).
% 0.18/0.37 fof(f653,plain,(
% 0.18/0.37 spl0_24 <=> sk2=sk2),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f655,plain,(
% 0.18/0.37 ~sk2=sk2|spl0_24),
% 0.18/0.37 inference(component_clause,[status(thm)],[f653])).
% 0.18/0.37 fof(f662,plain,(
% 0.18/0.37 spl0_25 <=> duplicatefreeP(sk2)),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f665,plain,(
% 0.18/0.37 duplicatefreeP(sk2)|~ssList(sk5)|~ssList(sk1)|~spl0_0),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f550,f621])).
% 0.18/0.37 fof(f666,plain,(
% 0.18/0.37 spl0_25|~spl0_12|~spl0_13|~spl0_0),
% 0.18/0.37 inference(split_clause,[status(thm)],[f665,f662,f551,f554,f469])).
% 0.18/0.37 fof(f683,plain,(
% 0.18/0.37 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.18/0.37 inference(resolution,[status(thm)],[f334,f281])).
% 0.18/0.37 fof(f684,plain,(
% 0.18/0.37 ~spl0_17|spl0_18),
% 0.18/0.37 inference(split_clause,[status(thm)],[f683,f595,f602])).
% 0.18/0.37 fof(f700,plain,(
% 0.18/0.37 spl0_31 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f703,plain,(
% 0.18/0.37 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.18/0.37 inference(resolution,[status(thm)],[f377,f281])).
% 0.18/0.37 fof(f704,plain,(
% 0.18/0.37 spl0_31|~spl0_17),
% 0.18/0.37 inference(split_clause,[status(thm)],[f703,f700,f595])).
% 0.18/0.37 fof(f707,plain,(
% 0.18/0.37 spl0_32 <=> ~sk2=app(sk1,X0)|~ssList(X0)|sk5=X0),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f708,plain,(
% 0.18/0.37 ![X0]: (~sk2=app(sk1,X0)|~ssList(X0)|sk5=X0|~spl0_32)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f707])).
% 0.18/0.37 fof(f710,plain,(
% 0.18/0.37 ![X0]: (~sk2=app(sk1,X0)|~ssList(sk5)|~ssList(sk1)|~ssList(X0)|sk5=X0)),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f550,f377])).
% 0.18/0.37 fof(f711,plain,(
% 0.18/0.37 spl0_32|~spl0_12|~spl0_13),
% 0.18/0.37 inference(split_clause,[status(thm)],[f710,f707,f551,f554])).
% 0.18/0.37 fof(f722,plain,(
% 0.18/0.37 $false|spl0_17),
% 0.18/0.37 inference(forward_subsumption_resolution,[status(thm)],[f597,f214])).
% 0.18/0.37 fof(f723,plain,(
% 0.18/0.37 spl0_17),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f722])).
% 0.18/0.37 fof(f725,plain,(
% 0.18/0.37 spl0_35 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f728,plain,(
% 0.18/0.37 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.18/0.37 inference(resolution,[status(thm)],[f379,f280])).
% 0.18/0.37 fof(f729,plain,(
% 0.18/0.37 spl0_35|~spl0_17),
% 0.18/0.37 inference(split_clause,[status(thm)],[f728,f725,f595])).
% 0.18/0.37 fof(f732,plain,(
% 0.18/0.37 spl0_36 <=> ~sk2=app(X0,sk5)|~ssList(X0)|sk1=X0),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f733,plain,(
% 0.18/0.37 ![X0]: (~sk2=app(X0,sk5)|~ssList(X0)|sk1=X0|~spl0_36)),
% 0.18/0.37 inference(component_clause,[status(thm)],[f732])).
% 0.18/0.37 fof(f735,plain,(
% 0.18/0.37 ![X0]: (~sk2=app(X0,sk5)|~ssList(sk1)|~ssList(sk5)|~ssList(X0)|sk1=X0)),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f550,f379])).
% 0.18/0.37 fof(f736,plain,(
% 0.18/0.37 spl0_36|~spl0_13|~spl0_12),
% 0.18/0.37 inference(split_clause,[status(thm)],[f735,f732,f554,f551])).
% 0.18/0.37 fof(f755,plain,(
% 0.18/0.37 spl0_40 <=> ~ssList(X0)|app(sk2,X0)=app(sk1,app(sk5,X0))),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f758,plain,(
% 0.18/0.37 ![X0]: (~ssList(X0)|~ssList(sk5)|~ssList(sk1)|app(sk2,X0)=app(sk1,app(sk5,X0)))),
% 0.18/0.37 inference(paramodulation,[status(thm)],[f550,f375])).
% 0.18/0.37 fof(f759,plain,(
% 0.18/0.37 spl0_40|~spl0_12|~spl0_13),
% 0.18/0.37 inference(split_clause,[status(thm)],[f758,f755,f551,f554])).
% 0.18/0.37 fof(f762,plain,(
% 0.18/0.37 spl0_41 <=> sk5=sk5),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f765,plain,(
% 0.18/0.37 ~ssList(sk5)|sk5=sk5|~spl0_32),
% 0.18/0.37 inference(resolution,[status(thm)],[f708,f550])).
% 0.18/0.37 fof(f766,plain,(
% 0.18/0.37 ~spl0_12|spl0_41|~spl0_32),
% 0.18/0.37 inference(split_clause,[status(thm)],[f765,f551,f762,f707])).
% 0.18/0.37 fof(f769,plain,(
% 0.18/0.37 $false|spl0_24),
% 0.18/0.37 inference(trivial_equality_resolution,[status(esa)],[f655])).
% 0.18/0.37 fof(f770,plain,(
% 0.18/0.37 spl0_24),
% 0.18/0.37 inference(contradiction_clause,[status(thm)],[f769])).
% 0.18/0.37 fof(f771,plain,(
% 0.18/0.37 spl0_42 <=> sk1=sk1),
% 0.18/0.37 introduced(split_symbol_definition)).
% 0.18/0.37 fof(f774,plain,(
% 0.18/0.37 ~ssList(sk1)|sk1=sk1|~spl0_36),
% 0.18/0.37 inference(resolution,[status(thm)],[f733,f550])).
% 0.18/0.37 fof(f775,plain,(
% 0.18/0.37 ~spl0_13|spl0_42|~spl0_36),
% 0.18/0.37 inference(split_clause,[status(thm)],[f774,f554,f771,f732])).
% 0.18/0.37 fof(f778,plain,(
% 0.18/0.37 ~ssList(sk8(sk5))|~ssList(sk5)|~app(sk1,sk5)=sk2|~spl0_21|~spl0_11),
% 0.18/0.37 inference(resolution,[status(thm)],[f632,f510])).
% 0.18/0.37 fof(f779,plain,(
% 0.18/0.37 ~spl0_23|~spl0_12|~spl0_22|~spl0_21|~spl0_11),
% 0.18/0.37 inference(split_clause,[status(thm)],[f778,f646,f551,f634,f631,f509])).
% 0.18/0.37 fof(f780,plain,(
% 0.18/0.37 $false),
% 0.18/0.37 inference(sat_refutation,[status(thm)],[f475,f482,f492,f496,f500,f504,f508,f512,f513,f514,f515,f516,f561,f563,f565,f568,f570,f573,f638,f643,f645,f650,f652,f666,f684,f704,f711,f723,f729,f736,f759,f766,f770,f775,f779])).
% 0.18/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.38 % Elapsed time: 0.029352 seconds
% 0.18/0.38 % CPU time: 0.055369 seconds
% 0.18/0.38 % Total memory used: 15.008 MB
% 0.18/0.38 % Net memory used: 14.974 MB
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