TSTP Solution File: SWC386-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC386-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:40:17 EDT 2023
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWC386-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:21:37 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f8,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f71,axiom,(
% 0.15/0.33 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f98,axiom,(
% 0.15/0.33 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f115,axiom,(
% 0.15/0.33 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f190,negated_conjecture,(
% 0.15/0.33 sk2 = sk4 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f191,negated_conjecture,(
% 0.15/0.33 sk1 = sk3 ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f192,negated_conjecture,(
% 0.15/0.33 ( ssItem(sk5)| nil = sk4 ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f193,negated_conjecture,(
% 0.15/0.33 ( ssItem(sk5)| nil = sk3 ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f194,negated_conjecture,(
% 0.15/0.33 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f197,negated_conjecture,(
% 0.15/0.33 ( memberP(sk4,sk5)| nil = sk3 ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f198,negated_conjecture,(
% 0.15/0.33 ( nil = sk2| neq(sk2,nil) ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f199,negated_conjecture,(
% 0.15/0.33 (![A]: (( nil = sk2| ~ ssItem(A)| cons(A,nil) != sk1| ~ memberP(sk2,A) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f200,negated_conjecture,(
% 0.15/0.33 ( nil != sk1| neq(sk2,nil) ) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f209,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.33 fof(f272,plain,(
% 0.15/0.33 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f71])).
% 0.15/0.33 fof(f300,plain,(
% 0.15/0.33 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f98])).
% 0.15/0.33 fof(f301,plain,(
% 0.15/0.33 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f300])).
% 0.15/0.33 fof(f322,plain,(
% 0.15/0.33 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f115])).
% 0.15/0.33 fof(f323,plain,(
% 0.15/0.33 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f322])).
% 0.15/0.33 fof(f436,plain,(
% 0.15/0.33 sk2=sk4),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.33 fof(f437,plain,(
% 0.15/0.33 sk1=sk3),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.33 fof(f438,plain,(
% 0.15/0.33 ssItem(sk5)|nil=sk4),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.33 fof(f439,plain,(
% 0.15/0.33 ssItem(sk5)|nil=sk3),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.33 fof(f440,plain,(
% 0.15/0.33 cons(sk5,nil)=sk3|nil=sk4),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.33 fof(f443,plain,(
% 0.15/0.33 memberP(sk4,sk5)|nil=sk3),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.33 fof(f444,plain,(
% 0.15/0.33 nil=sk2|neq(sk2,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.33 fof(f445,plain,(
% 0.15/0.33 ![X0]: (nil=sk2|~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.33 fof(f446,plain,(
% 0.15/0.33 ~nil=sk1|neq(sk2,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f200])).
% 0.15/0.33 fof(f455,plain,(
% 0.15/0.33 spl0_2 <=> ssItem(sk5)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f456,plain,(
% 0.15/0.33 ssItem(sk5)|~spl0_2),
% 0.15/0.33 inference(component_clause,[status(thm)],[f455])).
% 0.15/0.33 fof(f458,plain,(
% 0.15/0.33 spl0_3 <=> nil=sk4),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f459,plain,(
% 0.15/0.33 nil=sk4|~spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f458])).
% 0.15/0.33 fof(f461,plain,(
% 0.15/0.33 spl0_2|spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f438,f455,f458])).
% 0.15/0.33 fof(f462,plain,(
% 0.15/0.33 spl0_4 <=> nil=sk3),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f463,plain,(
% 0.15/0.33 nil=sk3|~spl0_4),
% 0.15/0.33 inference(component_clause,[status(thm)],[f462])).
% 0.15/0.33 fof(f465,plain,(
% 0.15/0.33 spl0_2|spl0_4),
% 0.15/0.33 inference(split_clause,[status(thm)],[f439,f455,f462])).
% 0.15/0.33 fof(f466,plain,(
% 0.15/0.33 spl0_5 <=> cons(sk5,nil)=sk3),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f467,plain,(
% 0.15/0.33 cons(sk5,nil)=sk3|~spl0_5),
% 0.15/0.33 inference(component_clause,[status(thm)],[f466])).
% 0.15/0.33 fof(f469,plain,(
% 0.15/0.33 spl0_5|spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f440,f466,f458])).
% 0.15/0.33 fof(f470,plain,(
% 0.15/0.33 spl0_6 <=> memberP(sk4,sk5)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f471,plain,(
% 0.15/0.33 memberP(sk4,sk5)|~spl0_6),
% 0.15/0.33 inference(component_clause,[status(thm)],[f470])).
% 0.15/0.33 fof(f475,plain,(
% 0.15/0.33 spl0_6|spl0_4),
% 0.15/0.33 inference(split_clause,[status(thm)],[f443,f470,f462])).
% 0.15/0.33 fof(f476,plain,(
% 0.15/0.33 spl0_7 <=> nil=sk2),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f477,plain,(
% 0.15/0.33 nil=sk2|~spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f476])).
% 0.15/0.33 fof(f479,plain,(
% 0.15/0.33 spl0_8 <=> neq(sk2,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f480,plain,(
% 0.15/0.33 neq(sk2,nil)|~spl0_8),
% 0.15/0.33 inference(component_clause,[status(thm)],[f479])).
% 0.15/0.33 fof(f482,plain,(
% 0.15/0.33 spl0_7|spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f444,f476,f479])).
% 0.15/0.33 fof(f483,plain,(
% 0.15/0.33 spl0_9 <=> ~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f484,plain,(
% 0.15/0.33 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~memberP(sk2,X0)|~spl0_9)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f483])).
% 0.15/0.33 fof(f486,plain,(
% 0.15/0.33 spl0_7|spl0_9),
% 0.15/0.33 inference(split_clause,[status(thm)],[f445,f476,f483])).
% 0.15/0.33 fof(f487,plain,(
% 0.15/0.33 spl0_10 <=> nil=sk1),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f488,plain,(
% 0.15/0.33 nil=sk1|~spl0_10),
% 0.15/0.33 inference(component_clause,[status(thm)],[f487])).
% 0.15/0.33 fof(f489,plain,(
% 0.15/0.33 ~nil=sk1|spl0_10),
% 0.15/0.33 inference(component_clause,[status(thm)],[f487])).
% 0.15/0.33 fof(f490,plain,(
% 0.15/0.33 ~spl0_10|spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f446,f487,f479])).
% 0.15/0.33 fof(f499,plain,(
% 0.15/0.33 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f323])).
% 0.15/0.33 fof(f500,plain,(
% 0.15/0.33 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f499])).
% 0.15/0.33 fof(f523,plain,(
% 0.15/0.33 nil=sk1|~spl0_4),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f437,f463])).
% 0.15/0.33 fof(f524,plain,(
% 0.15/0.33 $false|spl0_10|~spl0_4),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f523,f489])).
% 0.15/0.33 fof(f525,plain,(
% 0.15/0.33 spl0_10|~spl0_4),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f524])).
% 0.15/0.33 fof(f526,plain,(
% 0.15/0.33 cons(sk5,nil)=sk1|~spl0_5),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f437,f467])).
% 0.15/0.33 fof(f527,plain,(
% 0.15/0.33 memberP(sk2,sk5)|~spl0_6),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f436,f471])).
% 0.15/0.33 fof(f530,plain,(
% 0.15/0.33 cons(sk5,nil)=nil|~spl0_10|~spl0_5),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f488,f526])).
% 0.15/0.33 fof(f531,plain,(
% 0.15/0.33 spl0_11 <=> ssList(nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f533,plain,(
% 0.15/0.33 ~ssList(nil)|spl0_11),
% 0.15/0.33 inference(component_clause,[status(thm)],[f531])).
% 0.15/0.33 fof(f534,plain,(
% 0.15/0.33 ~ssItem(sk5)|~ssList(nil)|~spl0_10|~spl0_5),
% 0.15/0.33 inference(resolution,[status(thm)],[f530,f301])).
% 0.15/0.33 fof(f535,plain,(
% 0.15/0.33 ~spl0_2|~spl0_11|~spl0_10|~spl0_5),
% 0.15/0.33 inference(split_clause,[status(thm)],[f534,f455,f531,f487,f466])).
% 0.15/0.33 fof(f557,plain,(
% 0.15/0.33 memberP(nil,sk5)|~spl0_7|~spl0_6),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f477,f527])).
% 0.15/0.33 fof(f560,plain,(
% 0.15/0.33 ~ssItem(sk5)|~spl0_7|~spl0_6),
% 0.15/0.33 inference(resolution,[status(thm)],[f557,f272])).
% 0.15/0.33 fof(f561,plain,(
% 0.15/0.33 $false|~spl0_2|~spl0_7|~spl0_6),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f560,f456])).
% 0.15/0.33 fof(f562,plain,(
% 0.15/0.33 ~spl0_2|~spl0_7|~spl0_6),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f561])).
% 0.15/0.33 fof(f582,plain,(
% 0.15/0.33 $false|spl0_11),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f533,f209])).
% 0.15/0.33 fof(f583,plain,(
% 0.15/0.33 spl0_11),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f582])).
% 0.15/0.33 fof(f584,plain,(
% 0.15/0.33 spl0_18 <=> memberP(sk2,sk5)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f586,plain,(
% 0.15/0.33 ~memberP(sk2,sk5)|spl0_18),
% 0.15/0.33 inference(component_clause,[status(thm)],[f584])).
% 0.15/0.33 fof(f587,plain,(
% 0.15/0.33 ~ssItem(sk5)|~memberP(sk2,sk5)|~spl0_9|~spl0_5),
% 0.15/0.33 inference(resolution,[status(thm)],[f484,f526])).
% 0.15/0.33 fof(f588,plain,(
% 0.15/0.33 ~spl0_2|~spl0_18|~spl0_9|~spl0_5),
% 0.15/0.33 inference(split_clause,[status(thm)],[f587,f455,f584,f483,f466])).
% 0.15/0.55 fof(f594,plain,(
% 0.15/0.55 $false|~spl0_6|spl0_18),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f586,f527])).
% 0.15/0.55 fof(f595,plain,(
% 0.15/0.55 ~spl0_6|spl0_18),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f594])).
% 0.15/0.55 fof(f607,plain,(
% 0.15/0.55 sk2=nil|~spl0_3),
% 0.15/0.55 inference(forward_demodulation,[status(thm)],[f459,f436])).
% 0.15/0.55 fof(f609,plain,(
% 0.15/0.55 neq(nil,nil)|~spl0_3|~spl0_8),
% 0.15/0.55 inference(backward_demodulation,[status(thm)],[f607,f480])).
% 0.15/0.55 fof(f611,plain,(
% 0.15/0.55 ~ssList(nil)|~spl0_3|~spl0_8),
% 0.15/0.55 inference(resolution,[status(thm)],[f609,f500])).
% 0.15/0.55 fof(f612,plain,(
% 0.15/0.55 ~spl0_11|~spl0_3|~spl0_8),
% 0.15/0.55 inference(split_clause,[status(thm)],[f611,f531,f458,f479])).
% 0.15/0.55 fof(f613,plain,(
% 0.15/0.55 $false),
% 0.15/0.55 inference(sat_refutation,[status(thm)],[f461,f465,f469,f475,f482,f486,f490,f525,f535,f562,f583,f588,f595,f612])).
% 0.15/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.017976 seconds
% 0.15/0.55 % CPU time: 0.020233 seconds
% 0.15/0.55 % Memory used: 4.083 MB
%------------------------------------------------------------------------------