TSTP Solution File: SWC370-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC370-1 : 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 : Tue Apr 30 20:45:32 EDT 2024
% Result : Unsatisfiable 8.65s 1.48s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC370-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n017.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:37:33 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.36 % Drodi V3.6.0
% 8.65/1.48 % Refutation found
% 8.65/1.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.65/1.48 % SZS output start CNFRefutation for theBenchmark
% 8.65/1.48 fof(f8,axiom,(
% 8.65/1.48 ssList(nil) ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f74,axiom,(
% 8.65/1.48 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f173,axiom,(
% 8.65/1.48 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f186,negated_conjecture,(
% 8.65/1.48 ssList(sk1) ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f187,negated_conjecture,(
% 8.65/1.48 ssList(sk2) ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f190,negated_conjecture,(
% 8.65/1.48 sk2 = sk4 ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f191,negated_conjecture,(
% 8.65/1.48 sk1 = sk3 ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f192,negated_conjecture,(
% 8.65/1.48 ssList(sk5) ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f193,negated_conjecture,(
% 8.65/1.48 app(sk3,sk5) = sk4 ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f196,negated_conjecture,(
% 8.65/1.48 ~ segmentP(sk2,sk1) ),
% 8.65/1.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.65/1.48 fof(f205,plain,(
% 8.65/1.48 ssList(nil)),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f8])).
% 8.65/1.48 fof(f272,plain,(
% 8.65/1.48 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f74])).
% 8.65/1.48 fof(f403,plain,(
% 8.65/1.48 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 8.65/1.48 inference(miniscoping,[status(esa)],[f173])).
% 8.65/1.48 fof(f404,plain,(
% 8.65/1.48 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f403])).
% 8.65/1.48 fof(f428,plain,(
% 8.65/1.48 ssList(sk1)),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f186])).
% 8.65/1.48 fof(f429,plain,(
% 8.65/1.48 ssList(sk2)),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f187])).
% 8.65/1.48 fof(f432,plain,(
% 8.65/1.48 sk2=sk4),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f190])).
% 8.65/1.48 fof(f433,plain,(
% 8.65/1.48 sk1=sk3),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f191])).
% 8.65/1.48 fof(f434,plain,(
% 8.65/1.48 ssList(sk5)),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f192])).
% 8.65/1.48 fof(f435,plain,(
% 8.65/1.48 app(sk3,sk5)=sk4),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f193])).
% 8.65/1.48 fof(f439,plain,(
% 8.65/1.48 ~segmentP(sk2,sk1)),
% 8.65/1.48 inference(cnf_transformation,[status(esa)],[f196])).
% 8.65/1.48 fof(f475,plain,(
% 8.65/1.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 8.65/1.48 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 8.65/1.48 fof(f486,plain,(
% 8.65/1.48 app(sk1,sk5)=sk4),
% 8.65/1.48 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 8.65/1.48 fof(f487,plain,(
% 8.65/1.48 app(sk1,sk5)=sk2),
% 8.65/1.48 inference(forward_demodulation,[status(thm)],[f432,f486])).
% 8.65/1.48 fof(f499,plain,(
% 8.65/1.48 app(nil,sk1)=sk1),
% 8.65/1.48 inference(resolution,[status(thm)],[f272,f428])).
% 8.65/1.48 fof(f564,plain,(
% 8.65/1.48 spl0_4 <=> ssList(nil)),
% 8.65/1.48 introduced(split_symbol_definition)).
% 8.65/1.48 fof(f566,plain,(
% 8.65/1.48 ~ssList(nil)|spl0_4),
% 8.65/1.48 inference(component_clause,[status(thm)],[f564])).
% 8.65/1.48 fof(f574,plain,(
% 8.65/1.48 $false|spl0_4),
% 8.65/1.48 inference(forward_subsumption_resolution,[status(thm)],[f566,f205])).
% 8.65/1.48 fof(f575,plain,(
% 8.65/1.48 spl0_4),
% 8.65/1.48 inference(contradiction_clause,[status(thm)],[f574])).
% 8.65/1.48 fof(f585,plain,(
% 8.65/1.48 spl0_6 <=> ssList(sk5)),
% 8.65/1.48 introduced(split_symbol_definition)).
% 8.65/1.48 fof(f587,plain,(
% 8.65/1.48 ~ssList(sk5)|spl0_6),
% 8.65/1.48 inference(component_clause,[status(thm)],[f585])).
% 8.65/1.48 fof(f594,plain,(
% 8.65/1.48 spl0_7 <=> ssList(sk1)),
% 8.65/1.48 introduced(split_symbol_definition)).
% 8.65/1.48 fof(f596,plain,(
% 8.65/1.48 ~ssList(sk1)|spl0_7),
% 8.65/1.48 inference(component_clause,[status(thm)],[f594])).
% 8.65/1.48 fof(f610,plain,(
% 8.65/1.48 $false|spl0_7),
% 8.65/1.48 inference(forward_subsumption_resolution,[status(thm)],[f596,f428])).
% 8.65/1.48 fof(f611,plain,(
% 8.65/1.48 spl0_7),
% 8.65/1.48 inference(contradiction_clause,[status(thm)],[f610])).
% 8.65/1.48 fof(f612,plain,(
% 8.65/1.48 $false|spl0_6),
% 8.65/1.48 inference(forward_subsumption_resolution,[status(thm)],[f587,f434])).
% 8.65/1.48 fof(f613,plain,(
% 8.65/1.48 spl0_6),
% 8.65/1.48 inference(contradiction_clause,[status(thm)],[f612])).
% 8.89/1.49 fof(f3570,plain,(
% 8.89/1.49 spl0_215 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 8.89/1.49 introduced(split_symbol_definition)).
% 8.89/1.49 fof(f3571,plain,(
% 8.89/1.49 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_215)),
% 8.89/1.49 inference(component_clause,[status(thm)],[f3570])).
% 8.89/1.49 fof(f3573,plain,(
% 8.89/1.49 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 8.89/1.49 inference(paramodulation,[status(thm)],[f499,f475])).
% 8.89/1.49 fof(f3574,plain,(
% 8.89/1.49 spl0_215|~spl0_4|~spl0_7),
% 8.89/1.49 inference(split_clause,[status(thm)],[f3573,f3570,f564,f594])).
% 8.89/1.49 fof(f3611,plain,(
% 8.89/1.49 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_215)),
% 8.89/1.49 inference(forward_demodulation,[status(thm)],[f499,f3571])).
% 8.89/1.49 fof(f3661,plain,(
% 8.89/1.49 spl0_219 <=> ssList(app(sk1,sk5))),
% 8.89/1.49 introduced(split_symbol_definition)).
% 8.89/1.49 fof(f3663,plain,(
% 8.89/1.49 ~ssList(app(sk1,sk5))|spl0_219),
% 8.89/1.49 inference(component_clause,[status(thm)],[f3661])).
% 8.89/1.49 fof(f3664,plain,(
% 8.89/1.49 spl0_220 <=> segmentP(sk2,sk1)),
% 8.89/1.49 introduced(split_symbol_definition)).
% 8.89/1.49 fof(f3665,plain,(
% 8.89/1.49 segmentP(sk2,sk1)|~spl0_220),
% 8.89/1.49 inference(component_clause,[status(thm)],[f3664])).
% 8.89/1.49 fof(f3667,plain,(
% 8.89/1.49 ~ssList(sk5)|~ssList(app(sk1,sk5))|segmentP(sk2,sk1)|~spl0_215),
% 8.89/1.49 inference(paramodulation,[status(thm)],[f487,f3611])).
% 8.89/1.49 fof(f3668,plain,(
% 8.89/1.49 ~spl0_6|~spl0_219|spl0_220|~spl0_215),
% 8.89/1.49 inference(split_clause,[status(thm)],[f3667,f585,f3661,f3664,f3570])).
% 8.89/1.49 fof(f3674,plain,(
% 8.89/1.49 ~ssList(sk2)|spl0_219),
% 8.89/1.49 inference(forward_demodulation,[status(thm)],[f487,f3663])).
% 8.89/1.49 fof(f3675,plain,(
% 8.89/1.49 $false|spl0_219),
% 8.89/1.49 inference(forward_subsumption_resolution,[status(thm)],[f3674,f429])).
% 8.89/1.49 fof(f3676,plain,(
% 8.89/1.49 spl0_219),
% 8.89/1.49 inference(contradiction_clause,[status(thm)],[f3675])).
% 8.89/1.49 fof(f3677,plain,(
% 8.89/1.49 $false|~spl0_220),
% 8.89/1.49 inference(forward_subsumption_resolution,[status(thm)],[f3665,f439])).
% 8.89/1.49 fof(f3678,plain,(
% 8.89/1.49 ~spl0_220),
% 8.89/1.49 inference(contradiction_clause,[status(thm)],[f3677])).
% 8.89/1.49 fof(f3679,plain,(
% 8.89/1.49 $false),
% 8.89/1.49 inference(sat_refutation,[status(thm)],[f575,f611,f613,f3574,f3668,f3676,f3678])).
% 8.89/1.49 % SZS output end CNFRefutation for theBenchmark.p
% 8.89/1.52 % Elapsed time: 1.162058 seconds
% 8.89/1.52 % CPU time: 9.041967 seconds
% 8.89/1.52 % Total memory used: 142.306 MB
% 8.89/1.52 % Net memory used: 138.356 MB
%------------------------------------------------------------------------------