TSTP Solution File: SWC204-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC204-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:44:56 EDT 2024
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWC204-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n025.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 30 00:19:26 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.36 fof(f8,axiom,(
% 0.15/0.36 ssList(nil) ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f74,axiom,(
% 0.15/0.36 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f75,axiom,(
% 0.15/0.36 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f76,axiom,(
% 0.15/0.36 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f85,axiom,(
% 0.15/0.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f99,axiom,(
% 0.15/0.36 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f100,axiom,(
% 0.15/0.36 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f104,axiom,(
% 0.15/0.36 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f115,axiom,(
% 0.15/0.36 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f186,negated_conjecture,(
% 0.15/0.36 ssList(sk1) ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f187,negated_conjecture,(
% 0.15/0.36 ssList(sk2) ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f190,negated_conjecture,(
% 0.15/0.36 sk2 = sk4 ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f191,negated_conjecture,(
% 0.15/0.36 sk1 = sk3 ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f192,negated_conjecture,(
% 0.15/0.36 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f196,negated_conjecture,(
% 0.15/0.36 (![A,B]: (( ~ ssList(A)| sk4 = A| ~ ssList(B)| tl(sk4) != B| app(sk3,B) != A| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f197,negated_conjecture,(
% 0.15/0.36 ( ~ neq(sk1,nil)| ~ neq(sk4,nil) ) ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f205,plain,(
% 0.15/0.36 ssList(nil)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.36 fof(f272,plain,(
% 0.15/0.36 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.36 fof(f273,plain,(
% 0.15/0.36 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f75])).
% 0.15/0.36 fof(f274,plain,(
% 0.15/0.36 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.15/0.36 fof(f283,plain,(
% 0.15/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.36 fof(f298,plain,(
% 0.15/0.36 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.15/0.36 inference(miniscoping,[status(esa)],[f99])).
% 0.15/0.36 fof(f299,plain,(
% 0.15/0.36 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f298])).
% 0.15/0.36 fof(f300,plain,(
% 0.15/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.15/0.36 fof(f304,plain,(
% 0.15/0.36 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f104])).
% 0.15/0.36 fof(f318,plain,(
% 0.15/0.36 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.15/0.36 inference(miniscoping,[status(esa)],[f115])).
% 0.15/0.36 fof(f319,plain,(
% 0.15/0.36 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f318])).
% 0.15/0.36 fof(f428,plain,(
% 0.15/0.36 ssList(sk1)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f186])).
% 0.15/0.36 fof(f429,plain,(
% 0.15/0.36 ssList(sk2)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f187])).
% 0.15/0.36 fof(f432,plain,(
% 0.15/0.36 sk2=sk4),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.36 fof(f433,plain,(
% 0.15/0.36 sk1=sk3),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.36 fof(f434,plain,(
% 0.15/0.36 neq(sk2,nil)|neq(sk2,nil)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.36 fof(f439,plain,(
% 0.15/0.36 ((![A,B]: ((((~ssList(A)|sk4=A)|~ssList(B))|~tl(sk4)=B)|~app(sk3,B)=A))|~neq(nil,sk4))|~neq(sk4,nil)),
% 0.15/0.36 inference(miniscoping,[status(esa)],[f196])).
% 0.15/0.36 fof(f440,plain,(
% 0.15/0.36 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~neq(nil,sk4)|~neq(sk4,nil))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f439])).
% 0.15/0.36 fof(f441,plain,(
% 0.15/0.36 ~neq(sk1,nil)|~neq(sk4,nil)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.36 fof(f449,plain,(
% 0.15/0.36 spl0_2 <=> neq(sk2,nil)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f450,plain,(
% 0.15/0.36 neq(sk2,nil)|~spl0_2),
% 0.15/0.36 inference(component_clause,[status(thm)],[f449])).
% 0.15/0.36 fof(f452,plain,(
% 0.15/0.36 spl0_2),
% 0.15/0.36 inference(split_clause,[status(thm)],[f434,f449])).
% 0.15/0.36 fof(f453,plain,(
% 0.15/0.36 spl0_3 <=> neq(sk4,nil)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f455,plain,(
% 0.15/0.36 ~neq(sk4,nil)|spl0_3),
% 0.15/0.36 inference(component_clause,[status(thm)],[f453])).
% 0.15/0.36 fof(f457,plain,(
% 0.15/0.36 spl0_4 <=> ~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f458,plain,(
% 0.15/0.36 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f457])).
% 0.15/0.36 fof(f460,plain,(
% 0.15/0.36 spl0_5 <=> neq(nil,sk4)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f462,plain,(
% 0.15/0.36 ~neq(nil,sk4)|spl0_5),
% 0.15/0.36 inference(component_clause,[status(thm)],[f460])).
% 0.15/0.36 fof(f464,plain,(
% 0.15/0.36 spl0_6 <=> neq(sk1,nil)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f466,plain,(
% 0.15/0.36 ~neq(sk1,nil)|spl0_6),
% 0.15/0.36 inference(component_clause,[status(thm)],[f464])).
% 0.15/0.36 fof(f468,plain,(
% 0.15/0.36 spl0_4|~spl0_5|~spl0_3),
% 0.15/0.36 inference(split_clause,[status(thm)],[f440,f457,f460,f453])).
% 0.15/0.36 fof(f469,plain,(
% 0.15/0.36 ~spl0_6|~spl0_3),
% 0.15/0.36 inference(split_clause,[status(thm)],[f441,f464,f453])).
% 0.15/0.36 fof(f477,plain,(
% 0.15/0.36 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.15/0.36 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 0.15/0.36 fof(f478,plain,(
% 0.15/0.36 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.15/0.36 inference(duplicate_literals_removal,[status(esa)],[f477])).
% 0.15/0.36 fof(f507,plain,(
% 0.15/0.36 spl0_9 <=> sk1=nil),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f508,plain,(
% 0.15/0.36 sk1=nil|~spl0_9),
% 0.15/0.36 inference(component_clause,[status(thm)],[f507])).
% 0.15/0.36 fof(f512,plain,(
% 0.15/0.36 spl0_10 <=> ssList(nil)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f514,plain,(
% 0.15/0.36 ~ssList(nil)|spl0_10),
% 0.15/0.36 inference(component_clause,[status(thm)],[f512])).
% 0.15/0.36 fof(f515,plain,(
% 0.15/0.36 spl0_11 <=> ssList(sk1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f517,plain,(
% 0.15/0.36 ~ssList(sk1)|spl0_11),
% 0.15/0.36 inference(component_clause,[status(thm)],[f515])).
% 0.15/0.36 fof(f518,plain,(
% 0.15/0.36 ~ssList(nil)|~ssList(sk1)|sk1=nil|spl0_6),
% 0.15/0.36 inference(resolution,[status(thm)],[f466,f300])).
% 0.15/0.36 fof(f519,plain,(
% 0.15/0.36 ~spl0_10|~spl0_11|spl0_9|spl0_6),
% 0.15/0.36 inference(split_clause,[status(thm)],[f518,f512,f515,f507,f464])).
% 0.15/0.36 fof(f520,plain,(
% 0.15/0.36 $false|spl0_11),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f517,f428])).
% 0.15/0.36 fof(f521,plain,(
% 0.15/0.36 spl0_11),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f520])).
% 0.15/0.36 fof(f522,plain,(
% 0.15/0.36 $false|spl0_10),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f514,f205])).
% 0.15/0.36 fof(f523,plain,(
% 0.15/0.36 spl0_10),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f522])).
% 0.15/0.36 fof(f524,plain,(
% 0.15/0.36 nil=sk3|~spl0_9),
% 0.15/0.36 inference(backward_demodulation,[status(thm)],[f508,f433])).
% 0.15/0.36 fof(f526,plain,(
% 0.15/0.36 ~neq(sk2,nil)|spl0_3),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f432,f455])).
% 0.15/0.36 fof(f530,plain,(
% 0.15/0.36 spl0_13 <=> sk2=nil),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f531,plain,(
% 0.15/0.36 sk2=nil|~spl0_13),
% 0.15/0.36 inference(component_clause,[status(thm)],[f530])).
% 0.15/0.36 fof(f532,plain,(
% 0.15/0.36 ~sk2=nil|spl0_13),
% 0.15/0.36 inference(component_clause,[status(thm)],[f530])).
% 0.15/0.36 fof(f535,plain,(
% 0.15/0.36 spl0_14 <=> ssList(sk2)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f537,plain,(
% 0.15/0.36 ~ssList(sk2)|spl0_14),
% 0.15/0.36 inference(component_clause,[status(thm)],[f535])).
% 0.15/0.36 fof(f538,plain,(
% 0.15/0.36 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_3),
% 0.15/0.36 inference(resolution,[status(thm)],[f526,f300])).
% 0.15/0.36 fof(f539,plain,(
% 0.15/0.36 ~spl0_10|~spl0_14|spl0_13|spl0_3),
% 0.15/0.36 inference(split_clause,[status(thm)],[f538,f512,f535,f530,f453])).
% 0.15/0.36 fof(f540,plain,(
% 0.15/0.36 $false|spl0_14),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f537,f429])).
% 0.15/0.36 fof(f541,plain,(
% 0.15/0.36 spl0_14),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f540])).
% 0.15/0.36 fof(f543,plain,(
% 0.15/0.36 ~neq(nil,sk2)|spl0_5),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f432,f462])).
% 0.15/0.36 fof(f545,plain,(
% 0.15/0.36 neq(nil,nil)|~spl0_13|~spl0_2),
% 0.15/0.36 inference(backward_demodulation,[status(thm)],[f531,f450])).
% 0.15/0.36 fof(f566,plain,(
% 0.15/0.36 ~ssList(nil)|~spl0_13|~spl0_2),
% 0.15/0.36 inference(resolution,[status(thm)],[f545,f478])).
% 0.15/0.36 fof(f567,plain,(
% 0.15/0.36 ~spl0_10|~spl0_13|~spl0_2),
% 0.15/0.36 inference(split_clause,[status(thm)],[f566,f512,f530,f449])).
% 0.15/0.36 fof(f568,plain,(
% 0.15/0.36 ~ssList(app(sk3,tl(sk4)))|sk4=app(sk3,tl(sk4))|~ssList(tl(sk4))|~spl0_4),
% 0.15/0.36 inference(destructive_equality_resolution,[status(esa)],[f458])).
% 0.15/0.36 fof(f569,plain,(
% 0.15/0.36 ~ssList(app(nil,tl(sk4)))|sk4=app(sk3,tl(sk4))|~ssList(tl(sk4))|~spl0_9|~spl0_4),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f524,f568])).
% 0.15/0.36 fof(f570,plain,(
% 0.15/0.36 ~ssList(app(nil,tl(sk4)))|sk4=app(nil,tl(sk4))|~ssList(tl(sk4))|~spl0_9|~spl0_4),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f524,f569])).
% 0.15/0.36 fof(f571,plain,(
% 0.15/0.36 spl0_16 <=> sk4=app(nil,tl(sk4))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f572,plain,(
% 0.15/0.36 sk4=app(nil,tl(sk4))|~spl0_16),
% 0.15/0.36 inference(component_clause,[status(thm)],[f571])).
% 0.15/0.36 fof(f574,plain,(
% 0.15/0.36 spl0_17 <=> ssList(tl(sk4))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f575,plain,(
% 0.15/0.36 ssList(tl(sk4))|~spl0_17),
% 0.15/0.36 inference(component_clause,[status(thm)],[f574])).
% 0.15/0.36 fof(f576,plain,(
% 0.15/0.36 ~ssList(tl(sk4))|spl0_17),
% 0.15/0.36 inference(component_clause,[status(thm)],[f574])).
% 0.15/0.36 fof(f577,plain,(
% 0.15/0.36 sk4=app(nil,tl(sk4))|~ssList(tl(sk4))|~ssList(tl(sk4))|~ssList(nil)|~spl0_9|~spl0_4),
% 0.15/0.36 inference(resolution,[status(thm)],[f570,f283])).
% 0.15/0.36 fof(f578,plain,(
% 0.15/0.36 spl0_16|~spl0_17|~spl0_10|~spl0_9|~spl0_4),
% 0.15/0.36 inference(split_clause,[status(thm)],[f577,f571,f574,f512,f507,f457])).
% 0.15/0.36 fof(f591,plain,(
% 0.15/0.36 spl0_18 <=> ssList(sk4)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f593,plain,(
% 0.15/0.36 ~ssList(sk4)|spl0_18),
% 0.15/0.36 inference(component_clause,[status(thm)],[f591])).
% 0.15/0.36 fof(f594,plain,(
% 0.15/0.36 spl0_19 <=> nil=sk4),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f595,plain,(
% 0.15/0.36 nil=sk4|~spl0_19),
% 0.15/0.36 inference(component_clause,[status(thm)],[f594])).
% 0.15/0.36 fof(f597,plain,(
% 0.15/0.36 ~ssList(sk4)|nil=sk4|spl0_17),
% 0.15/0.36 inference(resolution,[status(thm)],[f576,f273])).
% 0.15/0.36 fof(f598,plain,(
% 0.15/0.36 ~spl0_18|spl0_19|spl0_17),
% 0.15/0.36 inference(split_clause,[status(thm)],[f597,f591,f594,f574])).
% 0.15/0.36 fof(f608,plain,(
% 0.15/0.36 ~ssList(sk2)|spl0_18),
% 0.15/0.36 inference(backward_demodulation,[status(thm)],[f432,f593])).
% 0.15/0.36 fof(f609,plain,(
% 0.15/0.36 ~spl0_14|spl0_18),
% 0.15/0.36 inference(split_clause,[status(thm)],[f608,f535,f591])).
% 0.15/0.36 fof(f610,plain,(
% 0.15/0.36 sk2=app(nil,tl(sk4))|~spl0_16),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f432,f572])).
% 0.15/0.36 fof(f611,plain,(
% 0.15/0.36 sk2=app(nil,tl(sk2))|~spl0_16),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f432,f610])).
% 0.15/0.36 fof(f612,plain,(
% 0.15/0.36 ssList(tl(sk2))|~spl0_17),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f432,f575])).
% 0.15/0.36 fof(f614,plain,(
% 0.15/0.36 spl0_21 <=> ssList(tl(sk2))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f616,plain,(
% 0.15/0.36 ~ssList(tl(sk2))|spl0_21),
% 0.15/0.36 inference(component_clause,[status(thm)],[f614])).
% 0.15/0.36 fof(f617,plain,(
% 0.15/0.36 spl0_22 <=> sk2=tl(sk2)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f618,plain,(
% 0.15/0.36 sk2=tl(sk2)|~spl0_22),
% 0.15/0.36 inference(component_clause,[status(thm)],[f617])).
% 0.15/0.36 fof(f620,plain,(
% 0.15/0.36 ~ssList(tl(sk2))|sk2=tl(sk2)|~spl0_16),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f611,f272])).
% 0.15/0.36 fof(f621,plain,(
% 0.15/0.36 ~spl0_21|spl0_22|~spl0_16),
% 0.15/0.36 inference(split_clause,[status(thm)],[f620,f614,f617,f571])).
% 0.15/0.36 fof(f700,plain,(
% 0.15/0.36 $false|~spl0_17|spl0_21),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f616,f612])).
% 0.15/0.36 fof(f701,plain,(
% 0.15/0.36 ~spl0_17|spl0_21),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f700])).
% 0.15/0.36 fof(f704,plain,(
% 0.15/0.36 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_5),
% 0.15/0.36 inference(resolution,[status(thm)],[f543,f300])).
% 0.15/0.36 fof(f705,plain,(
% 0.15/0.36 ~spl0_14|~spl0_10|spl0_13|spl0_5),
% 0.15/0.36 inference(split_clause,[status(thm)],[f704,f535,f512,f530,f460])).
% 0.15/0.36 fof(f708,plain,(
% 0.15/0.36 spl0_33 <=> cons(hd(sk2),sk2)=sk2),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f709,plain,(
% 0.15/0.36 cons(hd(sk2),sk2)=sk2|~spl0_33),
% 0.15/0.36 inference(component_clause,[status(thm)],[f708])).
% 0.15/0.36 fof(f711,plain,(
% 0.15/0.36 ~ssList(sk2)|cons(hd(sk2),sk2)=sk2|nil=sk2|~spl0_22),
% 0.15/0.36 inference(paramodulation,[status(thm)],[f618,f304])).
% 0.15/0.36 fof(f712,plain,(
% 0.15/0.36 ~spl0_14|spl0_33|spl0_13|~spl0_22),
% 0.15/0.36 inference(split_clause,[status(thm)],[f711,f535,f708,f530,f617])).
% 0.15/0.36 fof(f802,plain,(
% 0.15/0.36 spl0_40 <=> ssItem(hd(sk2))),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f804,plain,(
% 0.15/0.36 ~ssItem(hd(sk2))|spl0_40),
% 0.15/0.36 inference(component_clause,[status(thm)],[f802])).
% 0.15/0.36 fof(f816,plain,(
% 0.15/0.36 ~ssList(sk2)|nil=sk2|spl0_40),
% 0.15/0.36 inference(resolution,[status(thm)],[f274,f804])).
% 0.15/0.36 fof(f817,plain,(
% 0.15/0.36 ~spl0_14|spl0_13|spl0_40),
% 0.15/0.36 inference(split_clause,[status(thm)],[f816,f535,f530,f802])).
% 0.15/0.36 fof(f905,plain,(
% 0.15/0.36 ~ssItem(hd(sk2))|~ssList(sk2)|~spl0_33),
% 0.15/0.36 inference(resolution,[status(thm)],[f299,f709])).
% 0.15/0.36 fof(f906,plain,(
% 0.15/0.36 ~spl0_40|~spl0_14|~spl0_33),
% 0.15/0.36 inference(split_clause,[status(thm)],[f905,f802,f535,f708])).
% 0.15/0.36 fof(f910,plain,(
% 0.15/0.36 nil=sk2|~spl0_19),
% 0.15/0.36 inference(forward_demodulation,[status(thm)],[f432,f595])).
% 0.15/0.36 fof(f911,plain,(
% 0.15/0.36 $false|spl0_13|~spl0_19),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f910,f532])).
% 0.15/0.36 fof(f912,plain,(
% 0.15/0.36 spl0_13|~spl0_19),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f911])).
% 0.15/0.36 fof(f913,plain,(
% 0.15/0.36 $false),
% 0.15/0.36 inference(sat_refutation,[status(thm)],[f452,f468,f469,f519,f521,f523,f539,f541,f567,f578,f598,f609,f621,f701,f705,f712,f817,f906,f912])).
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.38 % Elapsed time: 0.054795 seconds
% 0.15/0.38 % CPU time: 0.253784 seconds
% 0.15/0.38 % Total memory used: 63.386 MB
% 0.15/0.38 % Net memory used: 63.142 MB
%------------------------------------------------------------------------------