TSTP Solution File: SWC419-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC419-1 : 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 20:45:43 EDT 2024
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SWC419-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:05:56 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.43 fof(f8,axiom,(
% 0.15/0.43 ssList(nil) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f73,axiom,(
% 0.15/0.43 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f74,axiom,(
% 0.15/0.43 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f86,axiom,(
% 0.15/0.43 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f186,negated_conjecture,(
% 0.15/0.43 ssList(sk1) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f190,negated_conjecture,(
% 0.15/0.43 sk2 = sk4 ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f191,negated_conjecture,(
% 0.15/0.43 sk1 = sk3 ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f192,negated_conjecture,(
% 0.15/0.43 neq(sk2,nil) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f193,negated_conjecture,(
% 0.15/0.43 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(app(C,cons(A,nil)),B) != sk1 ) ))),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f195,negated_conjecture,(
% 0.15/0.43 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f196,negated_conjecture,(
% 0.15/0.43 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f197,negated_conjecture,(
% 0.15/0.43 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f198,negated_conjecture,(
% 0.15/0.43 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f206,plain,(
% 0.15/0.43 ssList(nil)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.43 fof(f272,plain,(
% 0.15/0.43 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.43 fof(f273,plain,(
% 0.15/0.43 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.43 fof(f285,plain,(
% 0.15/0.43 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f86])).
% 0.15/0.43 fof(f429,plain,(
% 0.15/0.43 ssList(sk1)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f186])).
% 0.15/0.43 fof(f433,plain,(
% 0.15/0.43 sk2=sk4),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.43 fof(f434,plain,(
% 0.15/0.43 sk1=sk3),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.43 fof(f435,plain,(
% 0.15/0.43 neq(sk2,nil)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.43 fof(f436,plain,(
% 0.15/0.43 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(app(X2,cons(X0,nil)),X1)=sk1)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.43 fof(f438,plain,(
% 0.15/0.43 ssItem(sk5)|~neq(sk4,nil)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.43 fof(f439,plain,(
% 0.15/0.43 ssList(sk6)|~neq(sk4,nil)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.43 fof(f440,plain,(
% 0.15/0.43 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.43 fof(f441,plain,(
% 0.15/0.43 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.15/0.43 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.43 fof(f456,plain,(
% 0.15/0.43 spl0_4 <=> ssItem(sk5)),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f457,plain,(
% 0.15/0.43 ssItem(sk5)|~spl0_4),
% 0.15/0.43 inference(component_clause,[status(thm)],[f456])).
% 0.15/0.43 fof(f459,plain,(
% 0.15/0.43 spl0_5 <=> neq(sk4,nil)),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f461,plain,(
% 0.15/0.43 ~neq(sk4,nil)|spl0_5),
% 0.15/0.43 inference(component_clause,[status(thm)],[f459])).
% 0.15/0.43 fof(f462,plain,(
% 0.15/0.43 spl0_4|~spl0_5),
% 0.15/0.43 inference(split_clause,[status(thm)],[f438,f456,f459])).
% 0.15/0.43 fof(f463,plain,(
% 0.15/0.43 spl0_6 <=> ssList(sk6)),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f466,plain,(
% 0.15/0.43 spl0_6|~spl0_5),
% 0.15/0.43 inference(split_clause,[status(thm)],[f439,f463,f459])).
% 0.15/0.43 fof(f467,plain,(
% 0.15/0.43 spl0_7 <=> app(cons(sk5,nil),sk6)=sk4),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f468,plain,(
% 0.15/0.43 app(cons(sk5,nil),sk6)=sk4|~spl0_7),
% 0.15/0.43 inference(component_clause,[status(thm)],[f467])).
% 0.15/0.43 fof(f470,plain,(
% 0.15/0.43 spl0_7|~spl0_5),
% 0.15/0.43 inference(split_clause,[status(thm)],[f440,f467,f459])).
% 0.15/0.43 fof(f471,plain,(
% 0.15/0.43 spl0_8 <=> app(sk6,cons(sk5,nil))=sk3),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f472,plain,(
% 0.15/0.43 app(sk6,cons(sk5,nil))=sk3|~spl0_8),
% 0.15/0.43 inference(component_clause,[status(thm)],[f471])).
% 0.15/0.43 fof(f474,plain,(
% 0.15/0.43 spl0_8|~spl0_5),
% 0.15/0.43 inference(split_clause,[status(thm)],[f441,f471,f459])).
% 0.15/0.43 fof(f508,plain,(
% 0.15/0.43 app(sk1,nil)=sk1),
% 0.15/0.43 inference(resolution,[status(thm)],[f272,f429])).
% 0.15/0.43 fof(f538,plain,(
% 0.15/0.43 ~neq(sk2,nil)|spl0_5),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f433,f461])).
% 0.15/0.43 fof(f539,plain,(
% 0.15/0.43 $false|spl0_5),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f538,f435])).
% 0.15/0.43 fof(f540,plain,(
% 0.15/0.43 spl0_5),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f539])).
% 0.15/0.43 fof(f541,plain,(
% 0.15/0.43 app(cons(sk5,nil),sk6)=sk2|~spl0_7),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f433,f468])).
% 0.15/0.43 fof(f542,plain,(
% 0.15/0.43 app(sk6,cons(sk5,nil))=sk1|~spl0_8),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f434,f472])).
% 0.15/0.43 fof(f544,plain,(
% 0.15/0.43 ![X0]: (~ssList(X0)|ssList(cons(sk5,X0))|~spl0_4)),
% 0.15/0.43 inference(resolution,[status(thm)],[f457,f285])).
% 0.15/0.43 fof(f555,plain,(
% 0.15/0.43 spl0_9 <=> ssList(nil)),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f557,plain,(
% 0.15/0.43 ~ssList(nil)|spl0_9),
% 0.15/0.43 inference(component_clause,[status(thm)],[f555])).
% 0.15/0.43 fof(f560,plain,(
% 0.15/0.43 spl0_10 <=> ssList(cons(sk5,nil))),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f561,plain,(
% 0.15/0.43 ssList(cons(sk5,nil))|~spl0_10),
% 0.15/0.43 inference(component_clause,[status(thm)],[f560])).
% 0.15/0.43 fof(f562,plain,(
% 0.15/0.43 ~ssList(cons(sk5,nil))|spl0_10),
% 0.15/0.43 inference(component_clause,[status(thm)],[f560])).
% 0.15/0.43 fof(f568,plain,(
% 0.15/0.43 ~ssList(nil)|spl0_10|~spl0_4),
% 0.15/0.43 inference(resolution,[status(thm)],[f562,f544])).
% 0.15/0.43 fof(f569,plain,(
% 0.15/0.43 $false|spl0_10|~spl0_4),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f568,f206])).
% 0.15/0.43 fof(f570,plain,(
% 0.15/0.43 spl0_10|~spl0_4),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f569])).
% 0.15/0.43 fof(f572,plain,(
% 0.15/0.43 app(nil,cons(sk5,nil))=cons(sk5,nil)|~spl0_10),
% 0.15/0.43 inference(resolution,[status(thm)],[f561,f273])).
% 0.15/0.43 fof(f600,plain,(
% 0.15/0.43 $false|spl0_9),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f557,f206])).
% 0.15/0.43 fof(f601,plain,(
% 0.15/0.43 spl0_9),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f600])).
% 0.15/0.43 fof(f721,plain,(
% 0.15/0.43 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,cons(sk5,nil)),X1)=sk2|~app(app(X1,cons(sk5,nil)),X0)=sk1|~spl0_4)),
% 0.15/0.43 inference(resolution,[status(thm)],[f436,f457])).
% 0.15/0.43 fof(f894,plain,(
% 0.15/0.43 spl0_30 <=> ~ssList(X0)|~app(app(X0,cons(sk5,nil)),sk6)=sk2|~app(sk1,X0)=sk1),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f895,plain,(
% 0.15/0.43 ![X0]: (~ssList(X0)|~app(app(X0,cons(sk5,nil)),sk6)=sk2|~app(sk1,X0)=sk1|~spl0_30)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f894])).
% 0.15/0.43 fof(f897,plain,(
% 0.15/0.43 ![X0]: (~ssList(X0)|~ssList(sk6)|~app(app(X0,cons(sk5,nil)),sk6)=sk2|~app(sk1,X0)=sk1|~spl0_4|~spl0_8)),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f542,f721])).
% 0.15/0.43 fof(f898,plain,(
% 0.15/0.43 spl0_30|~spl0_6|~spl0_4|~spl0_8),
% 0.15/0.43 inference(split_clause,[status(thm)],[f897,f894,f463,f456,f471])).
% 0.15/0.43 fof(f1639,plain,(
% 0.15/0.43 spl0_54 <=> app(cons(sk5,nil),sk6)=sk2),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f1641,plain,(
% 0.15/0.43 ~app(cons(sk5,nil),sk6)=sk2|spl0_54),
% 0.15/0.43 inference(component_clause,[status(thm)],[f1639])).
% 0.15/0.43 fof(f1642,plain,(
% 0.15/0.43 spl0_55 <=> app(sk1,nil)=sk1),
% 0.15/0.43 introduced(split_symbol_definition)).
% 0.15/0.43 fof(f1644,plain,(
% 0.15/0.43 ~app(sk1,nil)=sk1|spl0_55),
% 0.15/0.43 inference(component_clause,[status(thm)],[f1642])).
% 0.15/0.43 fof(f1645,plain,(
% 0.15/0.43 ~ssList(nil)|~app(cons(sk5,nil),sk6)=sk2|~app(sk1,nil)=sk1|~spl0_30|~spl0_10),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f572,f895])).
% 0.15/0.43 fof(f1646,plain,(
% 0.15/0.43 ~spl0_9|~spl0_54|~spl0_55|~spl0_30|~spl0_10),
% 0.15/0.43 inference(split_clause,[status(thm)],[f1645,f555,f1639,f1642,f894,f560])).
% 0.15/0.43 fof(f1647,plain,(
% 0.15/0.43 ~sk2=sk2|~spl0_7|spl0_54),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f541,f1641])).
% 0.15/0.43 fof(f1648,plain,(
% 0.15/0.43 $false|~spl0_7|spl0_54),
% 0.15/0.43 inference(trivial_equality_resolution,[status(esa)],[f1647])).
% 0.15/0.43 fof(f1649,plain,(
% 0.15/0.43 ~spl0_7|spl0_54),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1648])).
% 0.15/0.43 fof(f1650,plain,(
% 0.15/0.43 ~sk1=sk1|spl0_55),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f508,f1644])).
% 0.15/0.44 fof(f1651,plain,(
% 0.15/0.44 $false|spl0_55),
% 0.15/0.44 inference(trivial_equality_resolution,[status(esa)],[f1650])).
% 0.15/0.44 fof(f1652,plain,(
% 0.15/0.44 spl0_55),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1651])).
% 0.15/0.44 fof(f1653,plain,(
% 0.15/0.44 $false),
% 0.15/0.44 inference(sat_refutation,[status(thm)],[f462,f466,f470,f474,f540,f570,f601,f898,f1646,f1649,f1652])).
% 0.15/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.135368 seconds
% 0.15/0.44 % CPU time: 0.945518 seconds
% 0.15/0.44 % Total memory used: 80.882 MB
% 0.15/0.44 % Net memory used: 79.481 MB
%------------------------------------------------------------------------------