TSTP Solution File: SWC370-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n009.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 12:40:13 EDT 2023
% Result : Unsatisfiable 4.53s 0.95s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC370-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:16:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 4.53/0.95 % Refutation found
% 4.53/0.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.53/0.95 % SZS output start CNFRefutation for theBenchmark
% 4.53/0.95 fof(f8,axiom,(
% 4.53/0.95 ssList(nil) ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f74,axiom,(
% 4.53/0.95 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f85,axiom,(
% 4.53/0.95 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f173,axiom,(
% 4.53/0.95 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f186,negated_conjecture,(
% 4.53/0.95 ssList(sk1) ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f190,negated_conjecture,(
% 4.53/0.95 sk2 = sk4 ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f191,negated_conjecture,(
% 4.53/0.95 sk1 = sk3 ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f192,negated_conjecture,(
% 4.53/0.95 ssList(sk5) ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f193,negated_conjecture,(
% 4.53/0.95 app(sk3,sk5) = sk4 ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f196,negated_conjecture,(
% 4.53/0.95 ~ segmentP(sk2,sk1) ),
% 4.53/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.53/0.95 fof(f205,plain,(
% 4.53/0.95 ssList(nil)),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f8])).
% 4.53/0.95 fof(f272,plain,(
% 4.53/0.95 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f74])).
% 4.53/0.95 fof(f283,plain,(
% 4.53/0.95 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f85])).
% 4.53/0.95 fof(f403,plain,(
% 4.53/0.95 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 4.53/0.95 inference(miniscoping,[status(esa)],[f173])).
% 4.53/0.95 fof(f404,plain,(
% 4.53/0.95 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f403])).
% 4.53/0.95 fof(f428,plain,(
% 4.53/0.95 ssList(sk1)),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f186])).
% 4.53/0.95 fof(f432,plain,(
% 4.53/0.95 sk2=sk4),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f190])).
% 4.53/0.95 fof(f433,plain,(
% 4.53/0.95 sk1=sk3),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f191])).
% 4.53/0.95 fof(f434,plain,(
% 4.53/0.95 ssList(sk5)),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f192])).
% 4.53/0.95 fof(f435,plain,(
% 4.53/0.95 app(sk3,sk5)=sk4),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f193])).
% 4.53/0.95 fof(f439,plain,(
% 4.53/0.95 ~segmentP(sk2,sk1)),
% 4.53/0.95 inference(cnf_transformation,[status(esa)],[f196])).
% 4.53/0.95 fof(f473,plain,(
% 4.53/0.95 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 4.53/0.95 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 4.53/0.95 fof(f487,plain,(
% 4.53/0.95 app(sk1,sk5)=sk4),
% 4.53/0.95 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 4.53/0.95 fof(f488,plain,(
% 4.53/0.95 app(sk1,sk5)=sk2),
% 4.53/0.95 inference(forward_demodulation,[status(thm)],[f432,f487])).
% 4.53/0.95 fof(f496,plain,(
% 4.53/0.95 app(nil,sk1)=sk1),
% 4.53/0.95 inference(resolution,[status(thm)],[f272,f428])).
% 4.53/0.95 fof(f503,plain,(
% 4.53/0.95 spl0_4 <=> ssList(nil)),
% 4.53/0.95 introduced(split_symbol_definition)).
% 4.53/0.95 fof(f505,plain,(
% 4.53/0.95 ~ssList(nil)|spl0_4),
% 4.53/0.95 inference(component_clause,[status(thm)],[f503])).
% 4.53/0.95 fof(f513,plain,(
% 4.53/0.95 $false|spl0_4),
% 4.53/0.95 inference(forward_subsumption_resolution,[status(thm)],[f505,f205])).
% 4.53/0.95 fof(f514,plain,(
% 4.53/0.95 spl0_4),
% 4.53/0.95 inference(contradiction_clause,[status(thm)],[f513])).
% 4.53/0.95 fof(f518,plain,(
% 4.53/0.95 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 4.53/0.95 inference(resolution,[status(thm)],[f283,f428])).
% 4.53/0.95 fof(f662,plain,(
% 4.53/0.95 spl0_9 <=> ssList(sk1)),
% 4.53/0.95 introduced(split_symbol_definition)).
% 4.53/0.95 fof(f664,plain,(
% 4.53/0.95 ~ssList(sk1)|spl0_9),
% 4.53/0.95 inference(component_clause,[status(thm)],[f662])).
% 4.53/0.95 fof(f669,plain,(
% 4.53/0.95 spl0_10 <=> ssList(sk5)),
% 4.53/0.95 introduced(split_symbol_definition)).
% 4.53/0.95 fof(f671,plain,(
% 4.53/0.95 ~ssList(sk5)|spl0_10),
% 4.53/0.95 inference(component_clause,[status(thm)],[f669])).
% 4.53/0.95 fof(f2363,plain,(
% 4.53/0.95 $false|spl0_10),
% 4.53/0.95 inference(forward_subsumption_resolution,[status(thm)],[f671,f434])).
% 4.53/0.95 fof(f2364,plain,(
% 4.53/0.95 spl0_10),
% 4.53/0.95 inference(contradiction_clause,[status(thm)],[f2363])).
% 4.53/0.96 fof(f3257,plain,(
% 4.53/0.96 spl0_222 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 4.53/0.96 introduced(split_symbol_definition)).
% 4.53/0.96 fof(f3258,plain,(
% 4.53/0.96 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_222)),
% 4.53/0.96 inference(component_clause,[status(thm)],[f3257])).
% 4.53/0.96 fof(f3260,plain,(
% 4.53/0.96 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 4.53/0.96 inference(paramodulation,[status(thm)],[f496,f473])).
% 4.53/0.96 fof(f3261,plain,(
% 4.53/0.96 spl0_222|~spl0_4|~spl0_9),
% 4.53/0.96 inference(split_clause,[status(thm)],[f3260,f3257,f503,f662])).
% 4.53/0.96 fof(f3267,plain,(
% 4.53/0.96 $false|spl0_9),
% 4.53/0.96 inference(forward_subsumption_resolution,[status(thm)],[f664,f428])).
% 4.53/0.96 fof(f3268,plain,(
% 4.53/0.96 spl0_9),
% 4.53/0.96 inference(contradiction_clause,[status(thm)],[f3267])).
% 4.53/0.96 fof(f3291,plain,(
% 4.53/0.96 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_222)),
% 4.53/0.96 inference(forward_demodulation,[status(thm)],[f496,f3258])).
% 4.53/0.96 fof(f3292,plain,(
% 4.53/0.96 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~spl0_222)),
% 4.53/0.96 inference(forward_subsumption_resolution,[status(thm)],[f3291,f518])).
% 4.53/0.96 fof(f3655,plain,(
% 4.53/0.96 spl0_249 <=> segmentP(sk2,sk1)),
% 4.53/0.96 introduced(split_symbol_definition)).
% 4.53/0.96 fof(f3656,plain,(
% 4.53/0.96 segmentP(sk2,sk1)|~spl0_249),
% 4.53/0.96 inference(component_clause,[status(thm)],[f3655])).
% 4.53/0.96 fof(f3658,plain,(
% 4.53/0.96 ~ssList(sk5)|segmentP(sk2,sk1)|~spl0_222),
% 4.53/0.96 inference(paramodulation,[status(thm)],[f488,f3292])).
% 4.53/0.96 fof(f3659,plain,(
% 4.53/0.96 ~spl0_10|spl0_249|~spl0_222),
% 4.53/0.96 inference(split_clause,[status(thm)],[f3658,f669,f3655,f3257])).
% 4.53/0.96 fof(f3668,plain,(
% 4.53/0.96 $false|~spl0_249),
% 4.53/0.96 inference(forward_subsumption_resolution,[status(thm)],[f3656,f439])).
% 4.53/0.96 fof(f3669,plain,(
% 4.53/0.96 ~spl0_249),
% 4.53/0.96 inference(contradiction_clause,[status(thm)],[f3668])).
% 4.53/0.96 fof(f3670,plain,(
% 4.53/0.96 $false),
% 4.53/0.96 inference(sat_refutation,[status(thm)],[f514,f2364,f3261,f3268,f3659,f3669])).
% 4.53/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 4.53/0.98 % Elapsed time: 0.625369 seconds
% 4.53/0.98 % CPU time: 4.811549 seconds
% 4.53/0.98 % Memory used: 105.757 MB
%------------------------------------------------------------------------------