TSTP Solution File: SWC323-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:40:03 EDT 2023
% Result : Unsatisfiable 0.09s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n029.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:38:22 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.33 fof(f8,axiom,(
% 0.09/0.33 ssList(nil) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f34,axiom,(
% 0.09/0.33 (![U]: (ssList(skaf61(U)) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f36,axiom,(
% 0.09/0.33 (![U]: (ssItem(skaf59(U)) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f73,axiom,(
% 0.09/0.33 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f74,axiom,(
% 0.09/0.33 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f86,axiom,(
% 0.09/0.33 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f100,axiom,(
% 0.09/0.33 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f118,axiom,(
% 0.09/0.33 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f150,axiom,(
% 0.09/0.33 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f151,axiom,(
% 0.09/0.33 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f170,axiom,(
% 0.09/0.33 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f187,negated_conjecture,(
% 0.09/0.33 ssList(sk2) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f190,negated_conjecture,(
% 0.09/0.33 sk2 = sk4 ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f191,negated_conjecture,(
% 0.09/0.33 sk1 = sk3 ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f192,negated_conjecture,(
% 0.09/0.33 (![A,B]: (( ~ ssList(A)| ~ ssList(B)| app(A,B) != sk2| app(B,A) != sk1 ) ))),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f193,negated_conjecture,(
% 0.09/0.33 ( nil = sk3| nil != sk4 ) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f194,negated_conjecture,(
% 0.09/0.33 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f195,negated_conjecture,(
% 0.09/0.33 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f196,negated_conjecture,(
% 0.09/0.33 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f197,negated_conjecture,(
% 0.09/0.33 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.09/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f205,plain,(
% 0.09/0.33 ssList(nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.33 fof(f231,plain,(
% 0.09/0.33 ![X0]: (ssList(skaf61(X0)))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f34])).
% 0.09/0.33 fof(f233,plain,(
% 0.09/0.33 ![X0]: (ssItem(skaf59(X0)))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f36])).
% 0.09/0.33 fof(f271,plain,(
% 0.09/0.33 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f73])).
% 0.09/0.33 fof(f272,plain,(
% 0.09/0.33 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f74])).
% 0.09/0.33 fof(f284,plain,(
% 0.09/0.33 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f86])).
% 0.09/0.33 fof(f300,plain,(
% 0.09/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f100])).
% 0.09/0.33 fof(f324,plain,(
% 0.09/0.33 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f118])).
% 0.09/0.33 fof(f325,plain,(
% 0.09/0.33 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f324])).
% 0.09/0.33 fof(f367,plain,(
% 0.09/0.33 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f150])).
% 0.09/0.33 fof(f368,plain,(
% 0.09/0.33 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f367])).
% 0.09/0.33 fof(f369,plain,(
% 0.09/0.33 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f151])).
% 0.09/0.33 fof(f370,plain,(
% 0.09/0.33 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f369])).
% 0.09/0.33 fof(f398,plain,(
% 0.09/0.33 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f170])).
% 0.09/0.33 fof(f399,plain,(
% 0.09/0.33 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f398])).
% 0.09/0.33 fof(f429,plain,(
% 0.09/0.33 ssList(sk2)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f187])).
% 0.09/0.33 fof(f432,plain,(
% 0.09/0.33 sk2=sk4),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f190])).
% 0.09/0.33 fof(f433,plain,(
% 0.09/0.33 sk1=sk3),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f191])).
% 0.09/0.33 fof(f434,plain,(
% 0.09/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(X0,X1)=sk2|~app(X1,X0)=sk1)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f192])).
% 0.09/0.33 fof(f435,plain,(
% 0.09/0.33 nil=sk3|~nil=sk4),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f193])).
% 0.09/0.33 fof(f436,plain,(
% 0.09/0.33 ssItem(sk5)|~neq(sk4,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f194])).
% 0.09/0.33 fof(f437,plain,(
% 0.09/0.33 ssList(sk6)|~neq(sk4,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f195])).
% 0.09/0.33 fof(f438,plain,(
% 0.09/0.33 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f196])).
% 0.09/0.33 fof(f439,plain,(
% 0.09/0.33 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f197])).
% 0.09/0.33 fof(f447,plain,(
% 0.09/0.33 spl0_2 <=> nil=sk3),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f448,plain,(
% 0.09/0.33 nil=sk3|~spl0_2),
% 0.09/0.33 inference(component_clause,[status(thm)],[f447])).
% 0.09/0.33 fof(f450,plain,(
% 0.09/0.33 spl0_3 <=> nil=sk4),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f452,plain,(
% 0.09/0.33 ~nil=sk4|spl0_3),
% 0.09/0.33 inference(component_clause,[status(thm)],[f450])).
% 0.09/0.33 fof(f453,plain,(
% 0.09/0.33 spl0_2|~spl0_3),
% 0.09/0.33 inference(split_clause,[status(thm)],[f435,f447,f450])).
% 0.09/0.33 fof(f454,plain,(
% 0.09/0.33 spl0_4 <=> ssItem(sk5)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f457,plain,(
% 0.09/0.33 spl0_5 <=> neq(sk4,nil)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f459,plain,(
% 0.09/0.33 ~neq(sk4,nil)|spl0_5),
% 0.09/0.33 inference(component_clause,[status(thm)],[f457])).
% 0.09/0.33 fof(f460,plain,(
% 0.09/0.33 spl0_4|~spl0_5),
% 0.09/0.33 inference(split_clause,[status(thm)],[f436,f454,f457])).
% 0.09/0.33 fof(f461,plain,(
% 0.09/0.33 spl0_6 <=> ssList(sk6)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f464,plain,(
% 0.09/0.33 spl0_6|~spl0_5),
% 0.09/0.33 inference(split_clause,[status(thm)],[f437,f461,f457])).
% 0.09/0.33 fof(f465,plain,(
% 0.09/0.33 spl0_7 <=> app(cons(sk5,nil),sk6)=sk4),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f466,plain,(
% 0.09/0.33 app(cons(sk5,nil),sk6)=sk4|~spl0_7),
% 0.09/0.33 inference(component_clause,[status(thm)],[f465])).
% 0.09/0.33 fof(f468,plain,(
% 0.09/0.33 spl0_7|~spl0_5),
% 0.09/0.33 inference(split_clause,[status(thm)],[f438,f465,f457])).
% 0.09/0.33 fof(f469,plain,(
% 0.09/0.33 spl0_8 <=> app(sk6,cons(sk5,nil))=sk3),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f470,plain,(
% 0.09/0.33 app(sk6,cons(sk5,nil))=sk3|~spl0_8),
% 0.09/0.33 inference(component_clause,[status(thm)],[f469])).
% 0.09/0.33 fof(f472,plain,(
% 0.09/0.33 spl0_8|~spl0_5),
% 0.09/0.33 inference(split_clause,[status(thm)],[f439,f469,f457])).
% 0.09/0.33 fof(f504,plain,(
% 0.09/0.33 spl0_9 <=> ssList(nil)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f506,plain,(
% 0.09/0.33 ~ssList(nil)|spl0_9),
% 0.09/0.33 inference(component_clause,[status(thm)],[f504])).
% 0.09/0.33 fof(f507,plain,(
% 0.09/0.33 spl0_10 <=> nil=nil),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f510,plain,(
% 0.09/0.33 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.09/0.33 inference(resolution,[status(thm)],[f325,f272])).
% 0.09/0.33 fof(f511,plain,(
% 0.09/0.33 ~spl0_9|spl0_10),
% 0.09/0.33 inference(split_clause,[status(thm)],[f510,f504,f507])).
% 0.09/0.33 fof(f514,plain,(
% 0.09/0.33 $false|spl0_9),
% 0.09/0.33 inference(forward_subsumption_resolution,[status(thm)],[f506,f205])).
% 0.09/0.33 fof(f515,plain,(
% 0.09/0.33 spl0_9),
% 0.09/0.33 inference(contradiction_clause,[status(thm)],[f514])).
% 0.09/0.33 fof(f516,plain,(
% 0.09/0.33 ~nil=sk2|spl0_3),
% 0.09/0.33 inference(forward_demodulation,[status(thm)],[f432,f452])).
% 0.09/0.33 fof(f517,plain,(
% 0.09/0.33 ~neq(sk2,nil)|spl0_5),
% 0.09/0.33 inference(forward_demodulation,[status(thm)],[f432,f459])).
% 0.09/0.33 fof(f524,plain,(
% 0.09/0.33 spl0_13 <=> sk2=nil),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f525,plain,(
% 0.09/0.33 sk2=nil|~spl0_13),
% 0.09/0.33 inference(component_clause,[status(thm)],[f524])).
% 0.09/0.33 fof(f529,plain,(
% 0.09/0.33 spl0_14 <=> ssList(sk2)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f531,plain,(
% 0.09/0.33 ~ssList(sk2)|spl0_14),
% 0.09/0.33 inference(component_clause,[status(thm)],[f529])).
% 0.09/0.33 fof(f532,plain,(
% 0.09/0.33 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_5),
% 0.09/0.33 inference(resolution,[status(thm)],[f517,f300])).
% 0.09/0.33 fof(f533,plain,(
% 0.09/0.33 ~spl0_9|~spl0_14|spl0_13|spl0_5),
% 0.09/0.33 inference(split_clause,[status(thm)],[f532,f504,f529,f524,f457])).
% 0.09/0.33 fof(f534,plain,(
% 0.09/0.33 $false|spl0_14),
% 0.09/0.33 inference(forward_subsumption_resolution,[status(thm)],[f531,f429])).
% 0.09/0.33 fof(f535,plain,(
% 0.09/0.33 spl0_14),
% 0.09/0.33 inference(contradiction_clause,[status(thm)],[f534])).
% 0.09/0.33 fof(f536,plain,(
% 0.09/0.33 app(cons(sk5,nil),sk6)=sk2|~spl0_7),
% 0.09/0.33 inference(forward_demodulation,[status(thm)],[f432,f466])).
% 0.09/0.33 fof(f537,plain,(
% 0.09/0.33 app(sk6,cons(sk5,nil))=sk1|~spl0_8),
% 0.09/0.33 inference(forward_demodulation,[status(thm)],[f433,f470])).
% 0.09/0.33 fof(f539,plain,(
% 0.09/0.33 spl0_15 <=> ssList(cons(sk5,nil))),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f541,plain,(
% 0.09/0.33 ~ssList(cons(sk5,nil))|spl0_15),
% 0.09/0.33 inference(component_clause,[status(thm)],[f539])).
% 0.09/0.33 fof(f549,plain,(
% 0.09/0.33 ~ssItem(sk5)|~ssList(nil)|spl0_15),
% 0.09/0.33 inference(resolution,[status(thm)],[f541,f284])).
% 0.09/0.33 fof(f550,plain,(
% 0.09/0.33 ~spl0_4|~spl0_9|spl0_15),
% 0.09/0.33 inference(split_clause,[status(thm)],[f549,f454,f504,f539])).
% 0.09/0.33 fof(f551,plain,(
% 0.09/0.33 spl0_17 <=> sk1=nil),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f552,plain,(
% 0.09/0.33 sk1=nil|~spl0_17),
% 0.09/0.33 inference(component_clause,[status(thm)],[f551])).
% 0.09/0.33 fof(f553,plain,(
% 0.09/0.33 ~sk1=nil|spl0_17),
% 0.09/0.33 inference(component_clause,[status(thm)],[f551])).
% 0.09/0.33 fof(f591,plain,(
% 0.09/0.33 spl0_22 <=> app(sk6,cons(sk5,nil))=sk1),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f593,plain,(
% 0.09/0.33 ~app(sk6,cons(sk5,nil))=sk1|spl0_22),
% 0.09/0.33 inference(component_clause,[status(thm)],[f591])).
% 0.09/0.33 fof(f594,plain,(
% 0.09/0.33 ~ssList(cons(sk5,nil))|~ssList(sk6)|~app(sk6,cons(sk5,nil))=sk1|~spl0_7),
% 0.09/0.33 inference(resolution,[status(thm)],[f434,f536])).
% 0.09/0.33 fof(f595,plain,(
% 0.09/0.33 ~spl0_15|~spl0_6|~spl0_22|~spl0_7),
% 0.09/0.33 inference(split_clause,[status(thm)],[f594,f539,f461,f591,f465])).
% 0.09/0.33 fof(f596,plain,(
% 0.09/0.33 spl0_23 <=> app(sk2,nil)=sk1),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f598,plain,(
% 0.09/0.33 ~app(sk2,nil)=sk1|spl0_23),
% 0.09/0.33 inference(component_clause,[status(thm)],[f596])).
% 0.09/0.33 fof(f599,plain,(
% 0.09/0.33 ~ssList(nil)|~ssList(sk2)|~app(sk2,nil)=sk1|~ssList(sk2)),
% 0.09/0.33 inference(resolution,[status(thm)],[f434,f272])).
% 0.09/0.33 fof(f600,plain,(
% 0.09/0.33 ~spl0_9|~spl0_14|~spl0_23),
% 0.09/0.33 inference(split_clause,[status(thm)],[f599,f504,f529,f596])).
% 0.09/0.33 fof(f601,plain,(
% 0.09/0.33 spl0_24 <=> app(nil,sk2)=sk1),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f604,plain,(
% 0.09/0.33 ~ssList(sk2)|~ssList(nil)|~app(nil,sk2)=sk1|~ssList(sk2)),
% 0.09/0.33 inference(resolution,[status(thm)],[f434,f271])).
% 0.09/0.33 fof(f605,plain,(
% 0.09/0.33 ~spl0_14|~spl0_9|~spl0_24),
% 0.09/0.33 inference(split_clause,[status(thm)],[f604,f529,f504,f601])).
% 0.09/0.33 fof(f619,plain,(
% 0.09/0.33 ~sk1=sk1|~spl0_8|spl0_22),
% 0.09/0.33 inference(forward_demodulation,[status(thm)],[f537,f593])).
% 0.09/0.33 fof(f620,plain,(
% 0.09/0.33 $false|~spl0_8|spl0_22),
% 0.09/0.33 inference(trivial_equality_resolution,[status(esa)],[f619])).
% 0.09/0.33 fof(f621,plain,(
% 0.09/0.33 ~spl0_8|spl0_22),
% 0.09/0.33 inference(contradiction_clause,[status(thm)],[f620])).
% 0.09/0.33 fof(f624,plain,(
% 0.09/0.33 nil=sk1|~spl0_2),
% 0.09/0.33 inference(forward_demodulation,[status(thm)],[f433,f448])).
% 0.09/0.33 fof(f625,plain,(
% 0.09/0.33 $false|spl0_17|~spl0_2),
% 0.09/0.33 inference(forward_subsumption_resolution,[status(thm)],[f624,f553])).
% 0.09/0.33 fof(f626,plain,(
% 0.09/0.33 spl0_17|~spl0_2),
% 0.09/0.33 inference(contradiction_clause,[status(thm)],[f625])).
% 0.09/0.33 fof(f629,plain,(
% 0.09/0.33 $false|spl0_3|~spl0_13),
% 0.09/0.33 inference(forward_subsumption_resolution,[status(thm)],[f525,f516])).
% 0.09/0.33 fof(f630,plain,(
% 0.09/0.33 spl0_3|~spl0_13),
% 0.09/0.33 inference(contradiction_clause,[status(thm)],[f629])).
% 0.09/0.33 fof(f656,plain,(
% 0.09/0.33 spl0_28 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f659,plain,(
% 0.09/0.33 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.09/0.33 inference(resolution,[status(thm)],[f368,f272])).
% 0.15/0.55 fof(f660,plain,(
% 0.15/0.55 spl0_28|~spl0_9),
% 0.15/0.55 inference(split_clause,[status(thm)],[f659,f656,f504])).
% 0.15/0.55 fof(f663,plain,(
% 0.15/0.55 spl0_29 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.15/0.55 introduced(split_symbol_definition)).
% 0.15/0.55 fof(f666,plain,(
% 0.15/0.55 spl0_30 <=> ~ssList(X1)),
% 0.15/0.55 introduced(split_symbol_definition)).
% 0.15/0.55 fof(f667,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~spl0_30)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f666])).
% 0.15/0.55 fof(f669,plain,(
% 0.15/0.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 0.15/0.55 inference(equality_resolution,[status(esa)],[f368])).
% 0.15/0.55 fof(f670,plain,(
% 0.15/0.55 spl0_29|spl0_30),
% 0.15/0.55 inference(split_clause,[status(thm)],[f669,f663,f666])).
% 0.15/0.55 fof(f672,plain,(
% 0.15/0.55 spl0_31 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.15/0.55 introduced(split_symbol_definition)).
% 0.15/0.55 fof(f675,plain,(
% 0.15/0.55 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.15/0.55 inference(resolution,[status(thm)],[f370,f271])).
% 0.15/0.55 fof(f676,plain,(
% 0.15/0.55 spl0_31|~spl0_9),
% 0.15/0.55 inference(split_clause,[status(thm)],[f675,f672,f504])).
% 0.15/0.55 fof(f682,plain,(
% 0.15/0.55 spl0_32 <=> ~ssItem(X0)|~ssItem(X0)|X0=X0),
% 0.15/0.55 introduced(split_symbol_definition)).
% 0.15/0.55 fof(f685,plain,(
% 0.15/0.55 spl0_33 <=> ~ssList(X1)|~ssList(X1)),
% 0.15/0.55 introduced(split_symbol_definition)).
% 0.15/0.55 fof(f686,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_33)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f685])).
% 0.15/0.55 fof(f688,plain,(
% 0.15/0.55 ![X0,X1]: (~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X1)|X0=X0)),
% 0.15/0.55 inference(equality_resolution,[status(esa)],[f399])).
% 0.15/0.55 fof(f689,plain,(
% 0.15/0.55 spl0_32|spl0_33),
% 0.15/0.55 inference(split_clause,[status(thm)],[f688,f682,f685])).
% 0.15/0.55 fof(f690,plain,(
% 0.15/0.55 ![X0]: (~ssList(X0)|~spl0_33)),
% 0.15/0.55 inference(duplicate_literals_removal,[status(esa)],[f686])).
% 0.15/0.55 fof(f691,plain,(
% 0.15/0.55 spl0_34 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.15/0.55 introduced(split_symbol_definition)).
% 0.15/0.55 fof(f692,plain,(
% 0.15/0.55 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_34)),
% 0.15/0.55 inference(component_clause,[status(thm)],[f691])).
% 0.15/0.55 fof(f696,plain,(
% 0.15/0.55 ![X0]: (~ssItem(X0)|~spl0_34)),
% 0.15/0.55 inference(duplicate_literals_removal,[status(esa)],[f692])).
% 0.15/0.55 fof(f715,plain,(
% 0.15/0.55 $false|~spl0_30),
% 0.15/0.55 inference(backward_subsumption_resolution,[status(thm)],[f231,f667])).
% 0.15/0.55 fof(f716,plain,(
% 0.15/0.55 ~spl0_30),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f715])).
% 0.15/0.55 fof(f717,plain,(
% 0.15/0.55 $false|~spl0_34),
% 0.15/0.55 inference(backward_subsumption_resolution,[status(thm)],[f233,f696])).
% 0.15/0.55 fof(f718,plain,(
% 0.15/0.55 ~spl0_34),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f717])).
% 0.15/0.55 fof(f719,plain,(
% 0.15/0.55 ~app(nil,nil)=sk1|~spl0_13|spl0_23),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f525,f598])).
% 0.15/0.55 fof(f720,plain,(
% 0.15/0.55 ~app(nil,nil)=nil|~spl0_17|~spl0_13|spl0_23),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f552,f719])).
% 0.15/0.55 fof(f725,plain,(
% 0.15/0.55 $false|~spl0_33),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f205,f690])).
% 0.15/0.55 fof(f726,plain,(
% 0.15/0.55 ~spl0_33),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f725])).
% 0.15/0.55 fof(f728,plain,(
% 0.15/0.55 ~ssList(nil)|~spl0_17|~spl0_13|spl0_23),
% 0.15/0.55 inference(resolution,[status(thm)],[f272,f720])).
% 0.15/0.55 fof(f729,plain,(
% 0.15/0.55 ~spl0_9|~spl0_17|~spl0_13|spl0_23),
% 0.15/0.55 inference(split_clause,[status(thm)],[f728,f504,f551,f524,f596])).
% 0.15/0.55 fof(f730,plain,(
% 0.15/0.55 $false),
% 0.15/0.55 inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f472,f511,f515,f533,f535,f550,f595,f600,f605,f621,f626,f630,f660,f670,f676,f689,f716,f718,f726,f729])).
% 0.15/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.018088 seconds
% 0.15/0.55 % CPU time: 0.022323 seconds
% 0.15/0.55 % Memory used: 4.183 MB
%------------------------------------------------------------------------------