TSTP Solution File: SWC253-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC253-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:45:05 EDT 2024
% Result : Unsatisfiable 0.18s 0.40s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC253-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 00:03:56 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.18/0.40 % Refutation found
% 0.18/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.40 fof(f8,axiom,(
% 0.18/0.40 ssList(nil) ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f74,axiom,(
% 0.18/0.40 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f75,axiom,(
% 0.18/0.40 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f78,axiom,(
% 0.18/0.40 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f85,axiom,(
% 0.18/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f99,axiom,(
% 0.18/0.40 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f100,axiom,(
% 0.18/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f104,axiom,(
% 0.18/0.40 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f115,axiom,(
% 0.18/0.40 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f116,axiom,(
% 0.18/0.40 (![U,V]: (( cons(U,nil) != V| ~ ssItem(U)| ~ ssList(V)| singletonP(V) ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f133,axiom,(
% 0.18/0.40 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| nil = V| tl(app(V,U)) = app(tl(V),U) ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f151,axiom,(
% 0.18/0.40 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f186,negated_conjecture,(
% 0.18/0.40 ssList(sk1) ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f187,negated_conjecture,(
% 0.18/0.40 ssList(sk2) ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f190,negated_conjecture,(
% 0.18/0.40 sk2 = sk4 ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f191,negated_conjecture,(
% 0.18/0.40 sk1 = sk3 ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f192,negated_conjecture,(
% 0.18/0.40 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f196,negated_conjecture,(
% 0.18/0.40 (![A,B]: (( ~ ssList(A)| sk4 = A| ~ ssList(B)| tl(sk4) != B| app(sk3,B) != A| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f197,negated_conjecture,(
% 0.18/0.40 ( ~ singletonP(sk1)| ~ neq(sk4,nil) ) ),
% 0.18/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.40 fof(f205,plain,(
% 0.18/0.40 ssList(nil)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.18/0.40 fof(f272,plain,(
% 0.18/0.40 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f74])).
% 0.18/0.40 fof(f273,plain,(
% 0.18/0.40 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f75])).
% 0.18/0.40 fof(f276,plain,(
% 0.18/0.40 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f78])).
% 0.18/0.40 fof(f283,plain,(
% 0.18/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f85])).
% 0.18/0.40 fof(f298,plain,(
% 0.18/0.40 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.18/0.40 inference(miniscoping,[status(esa)],[f99])).
% 0.18/0.40 fof(f299,plain,(
% 0.18/0.40 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f298])).
% 0.18/0.40 fof(f300,plain,(
% 0.18/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f100])).
% 0.18/0.40 fof(f304,plain,(
% 0.18/0.40 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.40 fof(f318,plain,(
% 0.18/0.40 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.18/0.40 inference(miniscoping,[status(esa)],[f115])).
% 0.18/0.40 fof(f319,plain,(
% 0.18/0.40 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f318])).
% 0.18/0.40 fof(f320,plain,(
% 0.18/0.40 ![V]: (((![U]: (~cons(U,nil)=V|~ssItem(U)))|~ssList(V))|singletonP(V))),
% 0.18/0.40 inference(miniscoping,[status(esa)],[f116])).
% 0.18/0.40 fof(f321,plain,(
% 0.18/0.40 ![X0,X1]: (~cons(X0,nil)=X1|~ssItem(X0)|~ssList(X1)|singletonP(X1))),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f320])).
% 0.18/0.40 fof(f343,plain,(
% 0.18/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X1|tl(app(X1,X0))=app(tl(X1),X0))),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f133])).
% 0.18/0.40 fof(f369,plain,(
% 0.18/0.40 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.18/0.40 inference(miniscoping,[status(esa)],[f151])).
% 0.18/0.40 fof(f370,plain,(
% 0.18/0.40 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f369])).
% 0.18/0.40 fof(f428,plain,(
% 0.18/0.40 ssList(sk1)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f186])).
% 0.18/0.40 fof(f429,plain,(
% 0.18/0.40 ssList(sk2)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f187])).
% 0.18/0.40 fof(f432,plain,(
% 0.18/0.40 sk2=sk4),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f190])).
% 0.18/0.40 fof(f433,plain,(
% 0.18/0.40 sk1=sk3),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f191])).
% 0.18/0.40 fof(f434,plain,(
% 0.18/0.40 neq(sk2,nil)|neq(sk2,nil)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f192])).
% 0.18/0.40 fof(f439,plain,(
% 0.18/0.40 ((![A,B]: ((((~ssList(A)|sk4=A)|~ssList(B))|~tl(sk4)=B)|~app(sk3,B)=A))|~neq(nil,sk4))|~neq(sk4,nil)),
% 0.18/0.40 inference(miniscoping,[status(esa)],[f196])).
% 0.18/0.40 fof(f440,plain,(
% 0.18/0.40 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~neq(nil,sk4)|~neq(sk4,nil))),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f439])).
% 0.18/0.40 fof(f441,plain,(
% 0.18/0.40 ~singletonP(sk1)|~neq(sk4,nil)),
% 0.18/0.40 inference(cnf_transformation,[status(esa)],[f197])).
% 0.18/0.40 fof(f449,plain,(
% 0.18/0.40 spl0_2 <=> neq(sk2,nil)),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f450,plain,(
% 0.18/0.40 neq(sk2,nil)|~spl0_2),
% 0.18/0.40 inference(component_clause,[status(thm)],[f449])).
% 0.18/0.40 fof(f452,plain,(
% 0.18/0.40 spl0_2),
% 0.18/0.40 inference(split_clause,[status(thm)],[f434,f449])).
% 0.18/0.40 fof(f453,plain,(
% 0.18/0.40 spl0_3 <=> neq(sk4,nil)),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f455,plain,(
% 0.18/0.40 ~neq(sk4,nil)|spl0_3),
% 0.18/0.40 inference(component_clause,[status(thm)],[f453])).
% 0.18/0.40 fof(f457,plain,(
% 0.18/0.40 spl0_4 <=> ~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f458,plain,(
% 0.18/0.40 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 0.18/0.40 inference(component_clause,[status(thm)],[f457])).
% 0.18/0.40 fof(f460,plain,(
% 0.18/0.40 spl0_5 <=> neq(nil,sk4)),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f462,plain,(
% 0.18/0.40 ~neq(nil,sk4)|spl0_5),
% 0.18/0.40 inference(component_clause,[status(thm)],[f460])).
% 0.18/0.40 fof(f464,plain,(
% 0.18/0.40 spl0_6 <=> singletonP(sk1)),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f468,plain,(
% 0.18/0.40 spl0_4|~spl0_5|~spl0_3),
% 0.18/0.40 inference(split_clause,[status(thm)],[f440,f457,f460,f453])).
% 0.18/0.40 fof(f469,plain,(
% 0.18/0.40 ~spl0_6|~spl0_3),
% 0.18/0.40 inference(split_clause,[status(thm)],[f441,f464,f453])).
% 0.18/0.40 fof(f477,plain,(
% 0.18/0.40 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.18/0.40 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 0.18/0.40 fof(f478,plain,(
% 0.18/0.40 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.18/0.40 inference(duplicate_literals_removal,[status(esa)],[f477])).
% 0.18/0.40 fof(f479,plain,(
% 0.18/0.40 ![X0]: (~ssItem(X0)|~ssList(cons(X0,nil))|singletonP(cons(X0,nil)))),
% 0.18/0.40 inference(destructive_equality_resolution,[status(esa)],[f321])).
% 0.18/0.40 fof(f501,plain,(
% 0.18/0.40 ~neq(sk2,nil)|spl0_3),
% 0.18/0.40 inference(forward_demodulation,[status(thm)],[f432,f455])).
% 0.18/0.40 fof(f508,plain,(
% 0.18/0.40 spl0_9 <=> sk2=nil),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f509,plain,(
% 0.18/0.40 sk2=nil|~spl0_9),
% 0.18/0.40 inference(component_clause,[status(thm)],[f508])).
% 0.18/0.40 fof(f510,plain,(
% 0.18/0.40 ~sk2=nil|spl0_9),
% 0.18/0.40 inference(component_clause,[status(thm)],[f508])).
% 0.18/0.40 fof(f513,plain,(
% 0.18/0.40 spl0_10 <=> ssList(nil)),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f515,plain,(
% 0.18/0.40 ~ssList(nil)|spl0_10),
% 0.18/0.40 inference(component_clause,[status(thm)],[f513])).
% 0.18/0.40 fof(f516,plain,(
% 0.18/0.40 spl0_11 <=> ssList(sk2)),
% 0.18/0.40 introduced(split_symbol_definition)).
% 0.18/0.40 fof(f518,plain,(
% 0.18/0.40 ~ssList(sk2)|spl0_11),
% 0.18/0.40 inference(component_clause,[status(thm)],[f516])).
% 0.18/0.40 fof(f519,plain,(
% 0.18/0.40 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_3),
% 0.18/0.40 inference(resolution,[status(thm)],[f501,f300])).
% 0.18/0.40 fof(f520,plain,(
% 0.18/0.40 ~spl0_10|~spl0_11|spl0_9|spl0_3),
% 0.18/0.40 inference(split_clause,[status(thm)],[f519,f513,f516,f508,f453])).
% 0.18/0.41 fof(f521,plain,(
% 0.18/0.41 $false|spl0_11),
% 0.18/0.41 inference(forward_subsumption_resolution,[status(thm)],[f518,f429])).
% 0.18/0.41 fof(f522,plain,(
% 0.18/0.41 spl0_11),
% 0.18/0.41 inference(contradiction_clause,[status(thm)],[f521])).
% 0.18/0.41 fof(f523,plain,(
% 0.18/0.41 $false|spl0_10),
% 0.18/0.41 inference(forward_subsumption_resolution,[status(thm)],[f515,f205])).
% 0.18/0.41 fof(f524,plain,(
% 0.18/0.41 spl0_10),
% 0.18/0.41 inference(contradiction_clause,[status(thm)],[f523])).
% 0.18/0.41 fof(f525,plain,(
% 0.18/0.41 ~neq(nil,sk2)|spl0_5),
% 0.18/0.41 inference(forward_demodulation,[status(thm)],[f432,f462])).
% 0.18/0.41 fof(f528,plain,(
% 0.18/0.41 neq(nil,nil)|~spl0_9|~spl0_2),
% 0.18/0.41 inference(forward_demodulation,[status(thm)],[f509,f450])).
% 0.18/0.41 fof(f529,plain,(
% 0.18/0.41 ~ssList(nil)|~spl0_9|~spl0_2),
% 0.18/0.41 inference(resolution,[status(thm)],[f528,f478])).
% 0.18/0.41 fof(f530,plain,(
% 0.18/0.41 ~spl0_10|~spl0_9|~spl0_2),
% 0.18/0.41 inference(split_clause,[status(thm)],[f529,f513,f508,f449])).
% 0.18/0.41 fof(f533,plain,(
% 0.18/0.41 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_5),
% 0.18/0.41 inference(resolution,[status(thm)],[f525,f300])).
% 0.18/0.41 fof(f534,plain,(
% 0.18/0.41 ~spl0_11|~spl0_10|spl0_9|spl0_5),
% 0.18/0.41 inference(split_clause,[status(thm)],[f533,f516,f513,f508,f460])).
% 0.18/0.41 fof(f535,plain,(
% 0.18/0.41 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk1,X1)=X0|~spl0_4)),
% 0.18/0.41 inference(forward_demodulation,[status(thm)],[f433,f458])).
% 0.18/0.41 fof(f536,plain,(
% 0.18/0.41 ~ssList(app(sk1,tl(sk4)))|sk4=app(sk1,tl(sk4))|~ssList(tl(sk4))|~spl0_4),
% 0.18/0.41 inference(destructive_equality_resolution,[status(esa)],[f535])).
% 0.18/0.41 fof(f537,plain,(
% 0.18/0.41 spl0_12 <=> sk4=app(sk1,tl(sk4))),
% 0.18/0.41 introduced(split_symbol_definition)).
% 0.18/0.41 fof(f538,plain,(
% 0.18/0.41 sk4=app(sk1,tl(sk4))|~spl0_12),
% 0.18/0.41 inference(component_clause,[status(thm)],[f537])).
% 0.18/0.41 fof(f540,plain,(
% 0.18/0.41 spl0_13 <=> ssList(tl(sk4))),
% 0.18/0.41 introduced(split_symbol_definition)).
% 0.18/0.41 fof(f541,plain,(
% 0.18/0.41 ssList(tl(sk4))|~spl0_13),
% 0.18/0.41 inference(component_clause,[status(thm)],[f540])).
% 0.18/0.41 fof(f542,plain,(
% 0.18/0.41 ~ssList(tl(sk4))|spl0_13),
% 0.18/0.41 inference(component_clause,[status(thm)],[f540])).
% 0.18/0.41 fof(f543,plain,(
% 0.18/0.41 spl0_14 <=> ssList(sk1)),
% 0.18/0.41 introduced(split_symbol_definition)).
% 0.18/0.41 fof(f545,plain,(
% 0.18/0.41 ~ssList(sk1)|spl0_14),
% 0.18/0.42 inference(component_clause,[status(thm)],[f543])).
% 0.18/0.42 fof(f546,plain,(
% 0.18/0.42 sk4=app(sk1,tl(sk4))|~ssList(tl(sk4))|~ssList(tl(sk4))|~ssList(sk1)|~spl0_4),
% 0.18/0.42 inference(resolution,[status(thm)],[f536,f283])).
% 0.18/0.42 fof(f547,plain,(
% 0.18/0.42 spl0_12|~spl0_13|~spl0_14|~spl0_4),
% 0.18/0.42 inference(split_clause,[status(thm)],[f546,f537,f540,f543,f457])).
% 0.18/0.42 fof(f548,plain,(
% 0.18/0.42 $false|spl0_14),
% 0.18/0.42 inference(forward_subsumption_resolution,[status(thm)],[f545,f428])).
% 0.18/0.42 fof(f549,plain,(
% 0.18/0.42 spl0_14),
% 0.18/0.42 inference(contradiction_clause,[status(thm)],[f548])).
% 0.18/0.42 fof(f550,plain,(
% 0.18/0.42 spl0_15 <=> ssList(sk4)),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f552,plain,(
% 0.18/0.42 ~ssList(sk4)|spl0_15),
% 0.18/0.42 inference(component_clause,[status(thm)],[f550])).
% 0.18/0.42 fof(f553,plain,(
% 0.18/0.42 spl0_16 <=> nil=sk4),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f554,plain,(
% 0.18/0.42 nil=sk4|~spl0_16),
% 0.18/0.42 inference(component_clause,[status(thm)],[f553])).
% 0.18/0.42 fof(f556,plain,(
% 0.18/0.42 ~ssList(sk4)|nil=sk4|spl0_13),
% 0.18/0.42 inference(resolution,[status(thm)],[f542,f273])).
% 0.18/0.42 fof(f557,plain,(
% 0.18/0.42 ~spl0_15|spl0_16|spl0_13),
% 0.18/0.42 inference(split_clause,[status(thm)],[f556,f550,f553,f540])).
% 0.18/0.42 fof(f574,plain,(
% 0.18/0.42 ~ssList(sk2)|spl0_15),
% 0.18/0.42 inference(backward_demodulation,[status(thm)],[f432,f552])).
% 0.18/0.42 fof(f575,plain,(
% 0.18/0.42 ~spl0_11|spl0_15),
% 0.18/0.42 inference(split_clause,[status(thm)],[f574,f516,f550])).
% 0.18/0.42 fof(f577,plain,(
% 0.18/0.42 sk2=app(sk1,tl(sk4))|~spl0_12),
% 0.18/0.42 inference(forward_demodulation,[status(thm)],[f432,f538])).
% 0.18/0.42 fof(f578,plain,(
% 0.18/0.42 sk2=app(sk1,tl(sk2))|~spl0_12),
% 0.18/0.42 inference(forward_demodulation,[status(thm)],[f432,f577])).
% 0.18/0.42 fof(f579,plain,(
% 0.18/0.42 ssList(tl(sk2))|~spl0_13),
% 0.18/0.42 inference(forward_demodulation,[status(thm)],[f432,f541])).
% 0.18/0.42 fof(f586,plain,(
% 0.18/0.42 spl0_19 <=> ssList(tl(sk2))),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f588,plain,(
% 0.18/0.42 ~ssList(tl(sk2))|spl0_19),
% 0.18/0.42 inference(component_clause,[status(thm)],[f586])).
% 0.18/0.42 fof(f597,plain,(
% 0.18/0.42 $false|~spl0_13|spl0_19),
% 0.18/0.42 inference(forward_subsumption_resolution,[status(thm)],[f588,f579])).
% 0.18/0.42 fof(f598,plain,(
% 0.18/0.42 ~spl0_13|spl0_19),
% 0.18/0.42 inference(contradiction_clause,[status(thm)],[f597])).
% 0.18/0.42 fof(f611,plain,(
% 0.18/0.42 spl0_21 <=> nil=sk1),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f612,plain,(
% 0.18/0.42 nil=sk1|~spl0_21),
% 0.18/0.42 inference(component_clause,[status(thm)],[f611])).
% 0.18/0.42 fof(f667,plain,(
% 0.18/0.42 spl0_29 <=> tl(sk2)=app(tl(sk1),tl(sk2))),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f668,plain,(
% 0.18/0.42 tl(sk2)=app(tl(sk1),tl(sk2))|~spl0_29),
% 0.18/0.42 inference(component_clause,[status(thm)],[f667])).
% 0.18/0.42 fof(f670,plain,(
% 0.18/0.42 ~ssList(tl(sk2))|~ssList(sk1)|nil=sk1|tl(sk2)=app(tl(sk1),tl(sk2))|~spl0_12),
% 0.18/0.42 inference(paramodulation,[status(thm)],[f578,f343])).
% 0.18/0.42 fof(f671,plain,(
% 0.18/0.42 ~spl0_19|~spl0_14|spl0_21|spl0_29|~spl0_12),
% 0.18/0.42 inference(split_clause,[status(thm)],[f670,f586,f543,f611,f667,f537])).
% 0.18/0.42 fof(f678,plain,(
% 0.18/0.42 sk2=app(nil,tl(sk2))|~spl0_21|~spl0_12),
% 0.18/0.42 inference(backward_demodulation,[status(thm)],[f612,f578])).
% 0.18/0.42 fof(f682,plain,(
% 0.18/0.42 spl0_31 <=> sk2=tl(sk2)),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f683,plain,(
% 0.18/0.42 sk2=tl(sk2)|~spl0_31),
% 0.18/0.42 inference(component_clause,[status(thm)],[f682])).
% 0.18/0.42 fof(f685,plain,(
% 0.18/0.42 ~ssList(tl(sk2))|sk2=tl(sk2)|~spl0_21|~spl0_12),
% 0.18/0.42 inference(paramodulation,[status(thm)],[f678,f272])).
% 0.18/0.42 fof(f686,plain,(
% 0.18/0.42 ~spl0_19|spl0_31|~spl0_21|~spl0_12),
% 0.18/0.42 inference(split_clause,[status(thm)],[f685,f586,f682,f611,f537])).
% 0.18/0.42 fof(f718,plain,(
% 0.18/0.42 spl0_36 <=> cons(hd(sk2),sk2)=sk2),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f719,plain,(
% 0.18/0.42 cons(hd(sk2),sk2)=sk2|~spl0_36),
% 0.18/0.42 inference(component_clause,[status(thm)],[f718])).
% 0.18/0.42 fof(f721,plain,(
% 0.18/0.42 ~ssList(sk2)|cons(hd(sk2),sk2)=sk2|nil=sk2|~spl0_31),
% 0.18/0.42 inference(paramodulation,[status(thm)],[f683,f304])).
% 0.18/0.42 fof(f722,plain,(
% 0.18/0.42 ~spl0_11|spl0_36|spl0_9|~spl0_31),
% 0.18/0.42 inference(split_clause,[status(thm)],[f721,f516,f718,f508,f682])).
% 0.18/0.42 fof(f799,plain,(
% 0.18/0.42 spl0_44 <=> ssList(tl(sk1))),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f801,plain,(
% 0.18/0.42 ~ssList(tl(sk1))|spl0_44),
% 0.18/0.42 inference(component_clause,[status(thm)],[f799])).
% 0.18/0.42 fof(f804,plain,(
% 0.18/0.42 spl0_45 <=> nil=tl(sk1)),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f805,plain,(
% 0.18/0.42 nil=tl(sk1)|~spl0_45),
% 0.18/0.42 inference(component_clause,[status(thm)],[f804])).
% 0.18/0.42 fof(f812,plain,(
% 0.18/0.42 spl0_47 <=> ~app(X0,tl(sk2))=tl(sk2)|~ssList(X0)|X0=tl(sk1)),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f813,plain,(
% 0.18/0.42 ![X0]: (~app(X0,tl(sk2))=tl(sk2)|~ssList(X0)|X0=tl(sk1)|~spl0_47)),
% 0.18/0.42 inference(component_clause,[status(thm)],[f812])).
% 0.18/0.42 fof(f815,plain,(
% 0.18/0.42 ![X0]: (~app(X0,tl(sk2))=tl(sk2)|~ssList(X0)|~ssList(tl(sk2))|~ssList(tl(sk1))|X0=tl(sk1)|~spl0_29)),
% 0.18/0.42 inference(paramodulation,[status(thm)],[f668,f370])).
% 0.18/0.42 fof(f816,plain,(
% 0.18/0.42 spl0_47|~spl0_19|~spl0_44|~spl0_29),
% 0.18/0.42 inference(split_clause,[status(thm)],[f815,f812,f586,f799,f667])).
% 0.18/0.42 fof(f832,plain,(
% 0.18/0.42 ~ssList(sk1)|nil=sk1|spl0_44),
% 0.18/0.42 inference(resolution,[status(thm)],[f801,f273])).
% 0.18/0.42 fof(f833,plain,(
% 0.18/0.42 ~spl0_14|spl0_21|spl0_44),
% 0.18/0.42 inference(split_clause,[status(thm)],[f832,f543,f611,f799])).
% 0.18/0.42 fof(f835,plain,(
% 0.18/0.42 spl0_49 <=> cons(hd(sk1),nil)=sk1),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f836,plain,(
% 0.18/0.42 cons(hd(sk1),nil)=sk1|~spl0_49),
% 0.18/0.42 inference(component_clause,[status(thm)],[f835])).
% 0.18/0.42 fof(f838,plain,(
% 0.18/0.42 ~ssList(sk1)|cons(hd(sk1),nil)=sk1|nil=sk1|~spl0_45),
% 0.18/0.42 inference(paramodulation,[status(thm)],[f805,f304])).
% 0.18/0.42 fof(f839,plain,(
% 0.18/0.42 ~spl0_14|spl0_49|spl0_21|~spl0_45),
% 0.18/0.42 inference(split_clause,[status(thm)],[f838,f543,f835,f611,f804])).
% 0.18/0.42 fof(f843,plain,(
% 0.18/0.42 spl0_50 <=> ssList(cons(hd(sk1),nil))),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f845,plain,(
% 0.18/0.42 ~ssList(cons(hd(sk1),nil))|spl0_50),
% 0.18/0.42 inference(component_clause,[status(thm)],[f843])).
% 0.18/0.42 fof(f850,plain,(
% 0.18/0.42 ~ssList(sk1)|~spl0_49|spl0_50),
% 0.18/0.42 inference(forward_demodulation,[status(thm)],[f836,f845])).
% 0.18/0.42 fof(f916,plain,(
% 0.18/0.42 $false|~spl0_49|spl0_50),
% 0.18/0.42 inference(forward_subsumption_resolution,[status(thm)],[f428,f850])).
% 0.18/0.42 fof(f917,plain,(
% 0.18/0.42 ~spl0_49|spl0_50),
% 0.18/0.42 inference(contradiction_clause,[status(thm)],[f916])).
% 0.18/0.42 fof(f941,plain,(
% 0.18/0.42 ~ssList(nil)|nil=tl(sk1)|~ssList(tl(sk2))|~spl0_47),
% 0.18/0.42 inference(resolution,[status(thm)],[f813,f272])).
% 0.18/0.42 fof(f942,plain,(
% 0.18/0.42 ~spl0_10|spl0_45|~spl0_19|~spl0_47),
% 0.18/0.42 inference(split_clause,[status(thm)],[f941,f513,f804,f586,f812])).
% 0.18/0.42 fof(f1059,plain,(
% 0.18/0.42 spl0_62 <=> ssItem(hd(sk1))),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f1061,plain,(
% 0.18/0.42 ~ssItem(hd(sk1))|spl0_62),
% 0.18/0.42 inference(component_clause,[status(thm)],[f1059])).
% 0.18/0.42 fof(f1135,plain,(
% 0.18/0.42 ~ssItem(hd(sk1))|~ssList(cons(hd(sk1),nil))|singletonP(sk1)|~spl0_49),
% 0.18/0.42 inference(paramodulation,[status(thm)],[f836,f479])).
% 0.18/0.42 fof(f1136,plain,(
% 0.18/0.42 ~spl0_62|~spl0_50|spl0_6|~spl0_49),
% 0.18/0.42 inference(split_clause,[status(thm)],[f1135,f1059,f843,f464,f835])).
% 0.18/0.42 fof(f1173,plain,(
% 0.18/0.42 ~ssList(sk1)|nil=sk1|spl0_62),
% 0.18/0.42 inference(resolution,[status(thm)],[f1061,f276])).
% 0.18/0.42 fof(f1174,plain,(
% 0.18/0.42 ~spl0_14|spl0_21|spl0_62),
% 0.18/0.42 inference(split_clause,[status(thm)],[f1173,f543,f611,f1059])).
% 0.18/0.42 fof(f1224,plain,(
% 0.18/0.42 spl0_72 <=> ssItem(hd(sk2))),
% 0.18/0.42 introduced(split_symbol_definition)).
% 0.18/0.42 fof(f1226,plain,(
% 0.18/0.42 ~ssItem(hd(sk2))|spl0_72),
% 0.18/0.42 inference(component_clause,[status(thm)],[f1224])).
% 0.18/0.42 fof(f1227,plain,(
% 0.18/0.42 ~ssItem(hd(sk2))|~ssList(sk2)|~spl0_36),
% 0.18/0.42 inference(resolution,[status(thm)],[f719,f299])).
% 0.18/0.42 fof(f1228,plain,(
% 0.18/0.42 ~spl0_72|~spl0_11|~spl0_36),
% 0.18/0.42 inference(split_clause,[status(thm)],[f1227,f1224,f516,f718])).
% 0.18/0.42 fof(f1239,plain,(
% 0.18/0.42 ~ssList(sk2)|nil=sk2|spl0_72),
% 0.18/0.42 inference(resolution,[status(thm)],[f1226,f276])).
% 0.18/0.42 fof(f1240,plain,(
% 0.18/0.42 ~spl0_11|spl0_9|spl0_72),
% 0.18/0.42 inference(split_clause,[status(thm)],[f1239,f516,f508,f1224])).
% 0.18/0.42 fof(f1241,plain,(
% 0.18/0.42 nil=sk2|~spl0_16),
% 0.18/0.42 inference(forward_demodulation,[status(thm)],[f432,f554])).
% 0.18/0.42 fof(f1242,plain,(
% 0.18/0.42 $false|spl0_9|~spl0_16),
% 0.18/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1241,f510])).
% 0.18/0.42 fof(f1243,plain,(
% 0.18/0.42 spl0_9|~spl0_16),
% 0.18/0.42 inference(contradiction_clause,[status(thm)],[f1242])).
% 0.18/0.42 fof(f1244,plain,(
% 0.18/0.42 $false),
% 0.18/0.42 inference(sat_refutation,[status(thm)],[f452,f468,f469,f520,f522,f524,f530,f534,f547,f549,f557,f575,f598,f671,f686,f722,f816,f833,f839,f917,f942,f1136,f1174,f1228,f1240,f1243])).
% 0.18/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.42 % Elapsed time: 0.090233 seconds
% 0.18/0.42 % CPU time: 0.578154 seconds
% 0.18/0.42 % Total memory used: 70.812 MB
% 0.18/0.42 % Net memory used: 70.297 MB
%------------------------------------------------------------------------------