TSTP Solution File: SWC200-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC200-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:44:55 EDT 2024
% Result : Unsatisfiable 2.90s 0.75s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC200-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 00:00:58 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 2.90/0.75 % Refutation found
% 2.90/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.90/0.75 % SZS output start CNFRefutation for theBenchmark
% 2.90/0.75 fof(f8,axiom,(
% 2.90/0.75 ssList(nil) ),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f9,axiom,(
% 2.90/0.75 ssItem(skac3) ),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f10,axiom,(
% 2.90/0.75 ssItem(skac2) ),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f47,axiom,(
% 2.90/0.75 (![U]: (ssItem(skaf44(U)) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f71,axiom,(
% 2.90/0.75 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f101,axiom,(
% 2.90/0.75 (![U]: (( ~ singletonP(U)| ~ ssList(U)| cons(skaf44(U),nil) = U ) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f161,axiom,(
% 2.90/0.75 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f186,negated_conjecture,(
% 2.90/0.75 ssList(sk1) ),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f191,negated_conjecture,(
% 2.90/0.75 sk1 = sk3 ),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f192,negated_conjecture,(
% 2.90/0.75 singletonP(sk3) ),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f193,negated_conjecture,(
% 2.90/0.75 (![A]: (( ~ ssItem(A)| ssItem(sk5(A)) ) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f194,negated_conjecture,(
% 2.90/0.75 (![A]: (( ~ ssItem(A)| memberP(sk1,sk5(A)) ) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f195,negated_conjecture,(
% 2.90/0.75 (![A]: (( ~ ssItem(A)| A != sk5(A) ) ))),
% 2.90/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.90/0.75 fof(f203,plain,(
% 2.90/0.75 ssList(nil)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f8])).
% 2.90/0.75 fof(f204,plain,(
% 2.90/0.75 ssItem(skac3)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f9])).
% 2.90/0.75 fof(f205,plain,(
% 2.90/0.75 ssItem(skac2)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f10])).
% 2.90/0.75 fof(f242,plain,(
% 2.90/0.75 ![X0]: (ssItem(skaf44(X0)))),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f47])).
% 2.90/0.75 fof(f266,plain,(
% 2.90/0.75 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f71])).
% 2.90/0.75 fof(f299,plain,(
% 2.90/0.75 ![X0]: (~singletonP(X0)|~ssList(X0)|cons(skaf44(X0),nil)=X0)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f101])).
% 2.90/0.75 fof(f386,plain,(
% 2.90/0.75 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 2.90/0.75 inference(miniscoping,[status(esa)],[f161])).
% 2.90/0.75 fof(f387,plain,(
% 2.90/0.75 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f386])).
% 2.90/0.75 fof(f426,plain,(
% 2.90/0.75 ssList(sk1)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f186])).
% 2.90/0.75 fof(f431,plain,(
% 2.90/0.75 sk1=sk3),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f191])).
% 2.90/0.75 fof(f432,plain,(
% 2.90/0.75 singletonP(sk3)),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f192])).
% 2.90/0.75 fof(f433,plain,(
% 2.90/0.75 ![X0]: (~ssItem(X0)|ssItem(sk5(X0)))),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f193])).
% 2.90/0.75 fof(f434,plain,(
% 2.90/0.75 ![X0]: (~ssItem(X0)|memberP(sk1,sk5(X0)))),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f194])).
% 2.90/0.75 fof(f435,plain,(
% 2.90/0.75 ![X0]: (~ssItem(X0)|~X0=sk5(X0))),
% 2.90/0.75 inference(cnf_transformation,[status(esa)],[f195])).
% 2.90/0.75 fof(f474,plain,(
% 2.90/0.75 singletonP(sk1)),
% 2.90/0.75 inference(forward_demodulation,[status(thm)],[f431,f432])).
% 2.90/0.75 fof(f505,plain,(
% 2.90/0.75 spl0_3 <=> ssList(nil)),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f507,plain,(
% 2.90/0.75 ~ssList(nil)|spl0_3),
% 2.90/0.75 inference(component_clause,[status(thm)],[f505])).
% 2.90/0.75 fof(f515,plain,(
% 2.90/0.75 $false|spl0_3),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f507,f203])).
% 2.90/0.75 fof(f516,plain,(
% 2.90/0.75 spl0_3),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f515])).
% 2.90/0.75 fof(f520,plain,(
% 2.90/0.75 spl0_6 <=> ssList(sk1)),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f522,plain,(
% 2.90/0.75 ~ssList(sk1)|spl0_6),
% 2.90/0.75 inference(component_clause,[status(thm)],[f520])).
% 2.90/0.75 fof(f525,plain,(
% 2.90/0.75 $false|spl0_6),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f522,f426])).
% 2.90/0.75 fof(f526,plain,(
% 2.90/0.75 spl0_6),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f525])).
% 2.90/0.75 fof(f539,plain,(
% 2.90/0.75 spl0_8 <=> cons(skaf44(sk1),nil)=sk1),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f540,plain,(
% 2.90/0.75 cons(skaf44(sk1),nil)=sk1|~spl0_8),
% 2.90/0.75 inference(component_clause,[status(thm)],[f539])).
% 2.90/0.75 fof(f542,plain,(
% 2.90/0.75 ~ssList(sk1)|cons(skaf44(sk1),nil)=sk1),
% 2.90/0.75 inference(resolution,[status(thm)],[f299,f474])).
% 2.90/0.75 fof(f543,plain,(
% 2.90/0.75 ~spl0_6|spl0_8),
% 2.90/0.75 inference(split_clause,[status(thm)],[f542,f520,f539])).
% 2.90/0.75 fof(f544,plain,(
% 2.90/0.75 spl0_9 <=> ssItem(skaf44(sk1))),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f546,plain,(
% 2.90/0.75 ~ssItem(skaf44(sk1))|spl0_9),
% 2.90/0.75 inference(component_clause,[status(thm)],[f544])).
% 2.90/0.75 fof(f562,plain,(
% 2.90/0.75 spl0_13 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=skaf44(sk1)),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f563,plain,(
% 2.90/0.75 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=skaf44(sk1)|~spl0_13)),
% 2.90/0.75 inference(component_clause,[status(thm)],[f562])).
% 2.90/0.75 fof(f565,plain,(
% 2.90/0.75 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(skaf44(sk1))|~ssItem(X0)|memberP(nil,X0)|X0=skaf44(sk1)|~spl0_8)),
% 2.90/0.75 inference(paramodulation,[status(thm)],[f540,f387])).
% 2.90/0.75 fof(f566,plain,(
% 2.90/0.75 spl0_13|~spl0_3|~spl0_9|~spl0_8),
% 2.90/0.75 inference(split_clause,[status(thm)],[f565,f562,f505,f544,f539])).
% 2.90/0.75 fof(f567,plain,(
% 2.90/0.75 $false|spl0_9),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f546,f242])).
% 2.90/0.75 fof(f568,plain,(
% 2.90/0.75 spl0_9),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f567])).
% 2.90/0.75 fof(f571,plain,(
% 2.90/0.75 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=skaf44(sk1)|~spl0_13)),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f563,f266])).
% 2.90/0.75 fof(f751,plain,(
% 2.90/0.75 ssItem(sk5(skac3))),
% 2.90/0.75 inference(resolution,[status(thm)],[f204,f433])).
% 2.90/0.75 fof(f760,plain,(
% 2.90/0.75 spl0_48 <=> ssItem(sk5(skac3))),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f762,plain,(
% 2.90/0.75 ~ssItem(sk5(skac3))|spl0_48),
% 2.90/0.75 inference(component_clause,[status(thm)],[f760])).
% 2.90/0.75 fof(f783,plain,(
% 2.90/0.75 $false|spl0_48),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f762,f751])).
% 2.90/0.75 fof(f784,plain,(
% 2.90/0.75 spl0_48),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f783])).
% 2.90/0.75 fof(f800,plain,(
% 2.90/0.75 spl0_53 <=> ssItem(skac3)),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f802,plain,(
% 2.90/0.75 ~ssItem(skac3)|spl0_53),
% 2.90/0.75 inference(component_clause,[status(thm)],[f800])).
% 2.90/0.75 fof(f808,plain,(
% 2.90/0.75 $false|spl0_53),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f802,f204])).
% 2.90/0.75 fof(f809,plain,(
% 2.90/0.75 spl0_53),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f808])).
% 2.90/0.75 fof(f1015,plain,(
% 2.90/0.75 ssItem(sk5(skac2))),
% 2.90/0.75 inference(resolution,[status(thm)],[f205,f433])).
% 2.90/0.75 fof(f1024,plain,(
% 2.90/0.75 spl0_91 <=> ssItem(sk5(skac2))),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f1026,plain,(
% 2.90/0.75 ~ssItem(sk5(skac2))|spl0_91),
% 2.90/0.75 inference(component_clause,[status(thm)],[f1024])).
% 2.90/0.75 fof(f1047,plain,(
% 2.90/0.75 $false|spl0_91),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1026,f1015])).
% 2.90/0.75 fof(f1048,plain,(
% 2.90/0.75 spl0_91),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f1047])).
% 2.90/0.75 fof(f1060,plain,(
% 2.90/0.75 spl0_96 <=> ssItem(skac2)),
% 2.90/0.75 introduced(split_symbol_definition)).
% 2.90/0.75 fof(f1062,plain,(
% 2.90/0.75 ~ssItem(skac2)|spl0_96),
% 2.90/0.75 inference(component_clause,[status(thm)],[f1060])).
% 2.90/0.75 fof(f1068,plain,(
% 2.90/0.75 $false|spl0_96),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1062,f205])).
% 2.90/0.75 fof(f1069,plain,(
% 2.90/0.75 spl0_96),
% 2.90/0.75 inference(contradiction_clause,[status(thm)],[f1068])).
% 2.90/0.75 fof(f1985,plain,(
% 2.90/0.75 ![X0]: (memberP(sk1,sk5(skaf44(X0))))),
% 2.90/0.75 inference(resolution,[status(thm)],[f242,f434])).
% 2.90/0.75 fof(f1986,plain,(
% 2.90/0.75 ![X0]: (ssItem(sk5(skaf44(X0))))),
% 2.90/0.75 inference(resolution,[status(thm)],[f242,f433])).
% 2.90/0.75 fof(f3141,plain,(
% 2.90/0.75 ![X0]: (~ssItem(sk5(skaf44(X0)))|sk5(skaf44(X0))=skaf44(sk1)|~spl0_13)),
% 2.90/0.75 inference(resolution,[status(thm)],[f1985,f571])).
% 2.90/0.75 fof(f3142,plain,(
% 2.90/0.75 ![X0]: (sk5(skaf44(X0))=skaf44(sk1)|~spl0_13)),
% 2.90/0.75 inference(forward_subsumption_resolution,[status(thm)],[f3141,f1986])).
% 2.90/0.75 fof(f3394,plain,(
% 2.90/0.75 ~ssItem(skaf44(sk1))|~spl0_13),
% 2.90/0.75 inference(resolution,[status(thm)],[f3142,f435])).
% 2.90/0.75 fof(f3395,plain,(
% 2.90/0.75 ~spl0_9|~spl0_13),
% 2.90/0.75 inference(split_clause,[status(thm)],[f3394,f544,f562])).
% 2.90/0.75 fof(f3398,plain,(
% 2.90/0.75 $false),
% 2.90/0.75 inference(sat_refutation,[status(thm)],[f516,f526,f543,f566,f568,f784,f809,f1048,f1069,f3395])).
% 3.12/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 3.12/0.77 % Elapsed time: 0.420201 seconds
% 3.12/0.77 % CPU time: 3.162216 seconds
% 3.12/0.77 % Total memory used: 107.281 MB
% 3.12/0.77 % Net memory used: 104.801 MB
%------------------------------------------------------------------------------