TSTP Solution File: SWC219-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC219-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:45:00 EDT 2024
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC219-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:17:03 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f8,axiom,(
% 0.12/0.40 ssList(nil) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f71,axiom,(
% 0.12/0.40 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f73,axiom,(
% 0.12/0.40 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f74,axiom,(
% 0.12/0.40 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f186,negated_conjecture,(
% 0.12/0.40 ssList(sk1) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f191,negated_conjecture,(
% 0.12/0.40 sk1 = sk3 ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f192,negated_conjecture,(
% 0.12/0.40 nil != sk1 ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f193,negated_conjecture,(
% 0.12/0.40 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| ssItem(sk5(C,B,A)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f194,negated_conjecture,(
% 0.12/0.40 (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk1| memberP(B,sk5(C,B,A)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f199,negated_conjecture,(
% 0.12/0.40 ( ssItem(sk6)| nil = sk3 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f203,negated_conjecture,(
% 0.12/0.40 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f213,plain,(
% 0.12/0.40 ssList(nil)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.40 fof(f276,plain,(
% 0.12/0.40 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f71])).
% 0.12/0.40 fof(f279,plain,(
% 0.12/0.40 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f73])).
% 0.12/0.40 fof(f280,plain,(
% 0.12/0.40 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f74])).
% 0.12/0.40 fof(f436,plain,(
% 0.12/0.40 ssList(sk1)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f186])).
% 0.12/0.40 fof(f441,plain,(
% 0.12/0.40 sk1=sk3),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f191])).
% 0.12/0.40 fof(f442,plain,(
% 0.12/0.40 ~nil=sk1),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f192])).
% 0.12/0.40 fof(f443,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|ssItem(sk5(X2,X1,X0)))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f193])).
% 0.12/0.40 fof(f444,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk1|memberP(X1,sk5(X2,X1,X0)))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f194])).
% 0.12/0.40 fof(f449,plain,(
% 0.12/0.40 ssItem(sk6)|nil=sk3),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f199])).
% 0.12/0.40 fof(f454,plain,(
% 0.12/0.40 cons(sk6,nil)=sk3|nil=sk3),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f203])).
% 0.12/0.40 fof(f465,plain,(
% 0.12/0.40 spl0_2 <=> ssItem(sk6)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f472,plain,(
% 0.12/0.40 spl0_4 <=> nil=sk3),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f473,plain,(
% 0.12/0.40 nil=sk3|~spl0_4),
% 0.12/0.40 inference(component_clause,[status(thm)],[f472])).
% 0.12/0.40 fof(f475,plain,(
% 0.12/0.40 spl0_2|spl0_4),
% 0.12/0.40 inference(split_clause,[status(thm)],[f449,f465,f472])).
% 0.12/0.40 fof(f476,plain,(
% 0.12/0.40 spl0_5 <=> cons(sk6,nil)=sk3),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f477,plain,(
% 0.12/0.40 cons(sk6,nil)=sk3|~spl0_5),
% 0.12/0.40 inference(component_clause,[status(thm)],[f476])).
% 0.12/0.40 fof(f488,plain,(
% 0.12/0.40 spl0_5|spl0_4),
% 0.12/0.40 inference(split_clause,[status(thm)],[f454,f476,f472])).
% 0.12/0.40 fof(f522,plain,(
% 0.12/0.40 nil=sk1|~spl0_4),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f441,f473])).
% 0.12/0.40 fof(f523,plain,(
% 0.12/0.40 $false|~spl0_4),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f522,f442])).
% 0.12/0.40 fof(f524,plain,(
% 0.12/0.40 ~spl0_4),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f523])).
% 0.12/0.40 fof(f525,plain,(
% 0.12/0.40 cons(sk6,nil)=sk1|~spl0_5),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f441,f477])).
% 0.12/0.40 fof(f537,plain,(
% 0.12/0.40 spl0_10 <=> ~ssList(X0)|~ssList(X1)|~app(app(X0,sk1),X1)=sk1|memberP(X0,sk5(X1,X0,sk6))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f538,plain,(
% 0.12/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(app(X0,sk1),X1)=sk1|memberP(X0,sk5(X1,X0,sk6))|~spl0_10)),
% 0.12/0.41 inference(component_clause,[status(thm)],[f537])).
% 0.12/0.41 fof(f540,plain,(
% 0.12/0.41 ![X0,X1]: (~ssItem(sk6)|~ssList(X0)|~ssList(X1)|~app(app(X0,sk1),X1)=sk1|memberP(X0,sk5(X1,X0,sk6))|~spl0_5)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f525,f444])).
% 0.12/0.41 fof(f541,plain,(
% 0.12/0.41 ~spl0_2|spl0_10|~spl0_5),
% 0.12/0.41 inference(split_clause,[status(thm)],[f540,f465,f537,f476])).
% 0.12/0.41 fof(f567,plain,(
% 0.12/0.41 app(sk1,nil)=sk1),
% 0.12/0.41 inference(resolution,[status(thm)],[f279,f436])).
% 0.12/0.41 fof(f569,plain,(
% 0.12/0.41 app(nil,sk1)=sk1),
% 0.12/0.41 inference(resolution,[status(thm)],[f280,f436])).
% 0.12/0.41 fof(f570,plain,(
% 0.12/0.41 spl0_15 <=> ssList(nil)),
% 0.12/0.41 introduced(split_symbol_definition)).
% 0.12/0.41 fof(f572,plain,(
% 0.12/0.41 ~ssList(nil)|spl0_15),
% 0.12/0.41 inference(component_clause,[status(thm)],[f570])).
% 0.12/0.41 fof(f578,plain,(
% 0.12/0.41 spl0_17 <=> ~ssList(X0)|~app(sk1,X0)=sk1|memberP(nil,sk5(X0,nil,sk6))),
% 0.12/0.41 introduced(split_symbol_definition)).
% 0.12/0.41 fof(f579,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|memberP(nil,sk5(X0,nil,sk6))|~spl0_17)),
% 0.12/0.41 inference(component_clause,[status(thm)],[f578])).
% 0.12/0.41 fof(f581,plain,(
% 0.12/0.41 ![X0]: (~ssList(nil)|~ssList(X0)|~app(sk1,X0)=sk1|memberP(nil,sk5(X0,nil,sk6))|~spl0_10)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f569,f538])).
% 0.12/0.41 fof(f582,plain,(
% 0.12/0.41 ~spl0_15|spl0_17|~spl0_10),
% 0.12/0.41 inference(split_clause,[status(thm)],[f581,f570,f578,f537])).
% 0.12/0.41 fof(f583,plain,(
% 0.12/0.41 $false|spl0_15),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f213,f572])).
% 0.12/0.41 fof(f584,plain,(
% 0.12/0.41 spl0_15),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f583])).
% 0.12/0.41 fof(f585,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~ssItem(sk5(X0,nil,sk6))|~spl0_17)),
% 0.12/0.41 inference(resolution,[status(thm)],[f579,f276])).
% 0.12/0.41 fof(f588,plain,(
% 0.12/0.41 spl0_18 <=> ~ssList(X0)|~app(sk1,X0)=sk1|~ssList(X0)|~app(app(nil,cons(sk6,nil)),X0)=sk1),
% 0.12/0.41 introduced(split_symbol_definition)).
% 0.12/0.41 fof(f589,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~ssList(X0)|~app(app(nil,cons(sk6,nil)),X0)=sk1|~spl0_18)),
% 0.12/0.41 inference(component_clause,[status(thm)],[f588])).
% 0.12/0.41 fof(f591,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~ssItem(sk6)|~ssList(nil)|~ssList(X0)|~app(app(nil,cons(sk6,nil)),X0)=sk1|~spl0_17)),
% 0.12/0.41 inference(resolution,[status(thm)],[f585,f443])).
% 0.12/0.41 fof(f592,plain,(
% 0.12/0.41 spl0_18|~spl0_2|~spl0_15|~spl0_17),
% 0.12/0.41 inference(split_clause,[status(thm)],[f591,f588,f465,f570,f578])).
% 0.12/0.41 fof(f593,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~ssList(X0)|~app(app(nil,sk1),X0)=sk1|~spl0_5|~spl0_18)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f525,f589])).
% 0.12/0.41 fof(f594,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~ssList(X0)|~app(sk1,X0)=sk1|~spl0_5|~spl0_18)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f569,f593])).
% 0.12/0.41 fof(f595,plain,(
% 0.12/0.41 ![X0]: (~ssList(X0)|~app(sk1,X0)=sk1|~spl0_5|~spl0_18)),
% 0.12/0.41 inference(duplicate_literals_removal,[status(esa)],[f594])).
% 0.12/0.41 fof(f596,plain,(
% 0.12/0.41 ~ssList(nil)|~spl0_5|~spl0_18),
% 0.12/0.41 inference(resolution,[status(thm)],[f595,f567])).
% 0.12/0.41 fof(f597,plain,(
% 0.12/0.41 ~spl0_15|~spl0_5|~spl0_18),
% 0.12/0.41 inference(split_clause,[status(thm)],[f596,f570,f476,f588])).
% 0.12/0.41 fof(f603,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f475,f488,f524,f541,f582,f584,f592,f597])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.42 % Elapsed time: 0.064835 seconds
% 0.18/0.42 % CPU time: 0.366707 seconds
% 0.18/0.42 % Total memory used: 69.748 MB
% 0.18/0.42 % Net memory used: 69.308 MB
%------------------------------------------------------------------------------