TSTP Solution File: SWC239-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC239-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:39:45 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC239-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n017.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 May 30 10:46:55 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f8,axiom,(
% 0.15/0.32 ssList(nil) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f71,axiom,(
% 0.15/0.32 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f73,axiom,(
% 0.15/0.32 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f74,axiom,(
% 0.15/0.32 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f186,negated_conjecture,(
% 0.15/0.32 ssList(sk1) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f191,negated_conjecture,(
% 0.15/0.32 sk1 = sk3 ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f192,negated_conjecture,(
% 0.15/0.32 nil != sk1 ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f193,negated_conjecture,(
% 0.15/0.32 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ssItem(sk5(C,B,A)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f194,negated_conjecture,(
% 0.15/0.32 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| memberP(B,sk5(C,B,A)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f199,negated_conjecture,(
% 0.15/0.32 ( ssItem(sk6)| nil = sk3 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f203,negated_conjecture,(
% 0.15/0.32 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f213,plain,(
% 0.15/0.32 ssList(nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.32 fof(f276,plain,(
% 0.15/0.32 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f71])).
% 0.15/0.32 fof(f279,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.32 fof(f280,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.32 fof(f436,plain,(
% 0.15/0.32 ssList(sk1)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f186])).
% 0.15/0.32 fof(f441,plain,(
% 0.15/0.32 sk1=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.32 fof(f442,plain,(
% 0.15/0.32 ~nil=sk1),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.32 fof(f443,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|ssItem(sk5(X2,X1,X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.32 fof(f444,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|memberP(X1,sk5(X2,X1,X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.32 fof(f449,plain,(
% 0.15/0.32 ssItem(sk6)|nil=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.32 fof(f454,plain,(
% 0.15/0.32 cons(sk6,nil)=sk3|nil=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.15/0.32 fof(f465,plain,(
% 0.15/0.32 spl0_2 <=> ssItem(sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f472,plain,(
% 0.15/0.32 spl0_4 <=> nil=sk3),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f473,plain,(
% 0.15/0.32 nil=sk3|~spl0_4),
% 0.15/0.32 inference(component_clause,[status(thm)],[f472])).
% 0.15/0.32 fof(f475,plain,(
% 0.15/0.32 spl0_2|spl0_4),
% 0.15/0.32 inference(split_clause,[status(thm)],[f449,f465,f472])).
% 0.15/0.32 fof(f476,plain,(
% 0.15/0.32 spl0_5 <=> cons(sk6,nil)=sk3),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f477,plain,(
% 0.15/0.32 cons(sk6,nil)=sk3|~spl0_5),
% 0.15/0.32 inference(component_clause,[status(thm)],[f476])).
% 0.15/0.32 fof(f488,plain,(
% 0.15/0.32 spl0_5|spl0_4),
% 0.15/0.32 inference(split_clause,[status(thm)],[f454,f476,f472])).
% 0.15/0.32 fof(f524,plain,(
% 0.15/0.32 app(sk1,nil)=sk1),
% 0.15/0.32 inference(resolution,[status(thm)],[f279,f436])).
% 0.15/0.32 fof(f527,plain,(
% 0.15/0.32 app(nil,sk1)=sk1),
% 0.15/0.32 inference(resolution,[status(thm)],[f280,f436])).
% 0.15/0.32 fof(f553,plain,(
% 0.15/0.32 nil=sk1|~spl0_4),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f441,f473])).
% 0.15/0.32 fof(f554,plain,(
% 0.15/0.32 $false|~spl0_4),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f553,f442])).
% 0.15/0.32 fof(f555,plain,(
% 0.15/0.32 ~spl0_4),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f554])).
% 0.15/0.32 fof(f556,plain,(
% 0.15/0.32 cons(sk6,nil)=sk1|~spl0_5),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f441,f477])).
% 0.15/0.32 fof(f589,plain,(
% 0.15/0.32 spl0_12 <=> ~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~ssItem(sk5(X1,nil,X0))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f590,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~ssItem(sk5(X1,nil,X0))|~spl0_12)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f589])).
% 0.15/0.32 fof(f592,plain,(
% 0.15/0.32 spl0_13 <=> ssList(nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f594,plain,(
% 0.15/0.32 ~ssList(nil)|spl0_13),
% 0.15/0.32 inference(component_clause,[status(thm)],[f592])).
% 0.15/0.32 fof(f595,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssList(nil)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~ssItem(sk5(X1,nil,X0)))),
% 0.15/0.32 inference(resolution,[status(thm)],[f444,f276])).
% 0.15/0.32 fof(f596,plain,(
% 0.15/0.32 spl0_12|~spl0_13),
% 0.15/0.32 inference(split_clause,[status(thm)],[f595,f589,f592])).
% 0.15/0.32 fof(f599,plain,(
% 0.15/0.32 $false|spl0_13),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f594,f213])).
% 0.15/0.32 fof(f600,plain,(
% 0.15/0.32 spl0_13),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f599])).
% 0.15/0.32 fof(f601,plain,(
% 0.15/0.32 spl0_14 <=> ~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f602,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~spl0_14)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f601])).
% 0.15/0.32 fof(f604,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~ssItem(X0)|~ssList(nil)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~spl0_12)),
% 0.15/0.32 inference(resolution,[status(thm)],[f590,f443])).
% 0.15/0.32 fof(f605,plain,(
% 0.15/0.32 spl0_14|~spl0_13|~spl0_12),
% 0.15/0.32 inference(split_clause,[status(thm)],[f604,f601,f592,f589])).
% 0.15/0.32 fof(f606,plain,(
% 0.15/0.32 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~app(app(nil,cons(X0,nil)),X1)=sk1|~spl0_14)),
% 0.15/0.32 inference(duplicate_literals_removal,[status(esa)],[f602])).
% 0.15/0.32 fof(f607,plain,(
% 0.15/0.32 spl0_15 <=> ~ssList(X0)|~app(app(nil,sk1),X0)=sk1),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f608,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|~app(app(nil,sk1),X0)=sk1|~spl0_15)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f607])).
% 0.15/0.32 fof(f610,plain,(
% 0.15/0.32 ![X0]: (~ssItem(sk6)|~ssList(X0)|~app(app(nil,sk1),X0)=sk1|~spl0_14|~spl0_5)),
% 0.15/0.32 inference(paramodulation,[status(thm)],[f556,f606])).
% 0.15/0.32 fof(f611,plain,(
% 0.15/0.32 ~spl0_2|spl0_15|~spl0_14|~spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f610,f465,f607,f601,f476])).
% 0.15/0.32 fof(f612,plain,(
% 0.15/0.32 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~spl0_15)),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f527,f608])).
% 0.15/0.32 fof(f617,plain,(
% 0.15/0.32 ~app(sk1,nil)=sk1|~spl0_15),
% 0.15/0.32 inference(resolution,[status(thm)],[f612,f213])).
% 0.15/0.32 fof(f618,plain,(
% 0.15/0.32 ~sk1=sk1|~spl0_15),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f524,f617])).
% 0.15/0.32 fof(f619,plain,(
% 0.15/0.32 $false|~spl0_15),
% 0.15/0.32 inference(trivial_equality_resolution,[status(esa)],[f618])).
% 0.15/0.32 fof(f620,plain,(
% 0.15/0.32 ~spl0_15),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f619])).
% 0.15/0.32 fof(f621,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f475,f488,f555,f596,f600,f605,f611,f620])).
% 0.15/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.54 % Elapsed time: 0.021094 seconds
% 0.15/0.54 % CPU time: 0.020906 seconds
% 0.15/0.54 % Memory used: 4.124 MB
%------------------------------------------------------------------------------