TSTP Solution File: SWC076-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC076-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:44:26 EDT 2024
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC076-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n006.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 00:08:20 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.28 fof(f8,axiom,(
% 0.07/0.28 ssList(nil) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f57,axiom,(
% 0.07/0.28 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f100,axiom,(
% 0.07/0.28 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f173,axiom,(
% 0.07/0.28 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f186,negated_conjecture,(
% 0.07/0.28 ssList(sk1) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f187,negated_conjecture,(
% 0.07/0.28 ssList(sk2) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f190,negated_conjecture,(
% 0.07/0.28 sk2 = sk4 ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f191,negated_conjecture,(
% 0.07/0.28 sk1 = sk3 ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f192,negated_conjecture,(
% 0.07/0.28 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f193,negated_conjecture,(
% 0.07/0.28 ssList(sk5) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f194,negated_conjecture,(
% 0.07/0.28 ssList(sk6) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f195,negated_conjecture,(
% 0.07/0.28 app(app(sk5,sk3),sk6) = sk4 ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f199,negated_conjecture,(
% 0.07/0.28 ( nil = sk4| nil != sk3 ) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f200,negated_conjecture,(
% 0.07/0.28 ( nil != sk2| nil != sk1 ) ),
% 0.07/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f208,plain,(
% 0.07/0.28 ssList(nil)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f8])).
% 0.07/0.28 fof(f257,plain,(
% 0.07/0.28 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f57])).
% 0.07/0.28 fof(f303,plain,(
% 0.07/0.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f100])).
% 0.07/0.28 fof(f406,plain,(
% 0.07/0.28 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.07/0.28 inference(miniscoping,[status(esa)],[f173])).
% 0.07/0.28 fof(f407,plain,(
% 0.07/0.28 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f406])).
% 0.07/0.28 fof(f431,plain,(
% 0.07/0.28 ssList(sk1)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f186])).
% 0.07/0.28 fof(f432,plain,(
% 0.07/0.28 ssList(sk2)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f187])).
% 0.07/0.28 fof(f435,plain,(
% 0.07/0.28 sk2=sk4),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f190])).
% 0.07/0.28 fof(f436,plain,(
% 0.07/0.28 sk1=sk3),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f191])).
% 0.07/0.28 fof(f437,plain,(
% 0.07/0.28 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f192])).
% 0.07/0.28 fof(f438,plain,(
% 0.07/0.28 ssList(sk5)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f193])).
% 0.07/0.28 fof(f439,plain,(
% 0.07/0.28 ssList(sk6)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f194])).
% 0.07/0.28 fof(f440,plain,(
% 0.07/0.28 app(app(sk5,sk3),sk6)=sk4),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f195])).
% 0.07/0.28 fof(f446,plain,(
% 0.07/0.28 nil=sk4|~nil=sk3),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f199])).
% 0.07/0.28 fof(f447,plain,(
% 0.07/0.28 ~nil=sk2|~nil=sk1),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f200])).
% 0.07/0.28 fof(f455,plain,(
% 0.07/0.28 spl0_2 <=> nil=sk4),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f456,plain,(
% 0.07/0.28 nil=sk4|~spl0_2),
% 0.07/0.28 inference(component_clause,[status(thm)],[f455])).
% 0.07/0.28 fof(f458,plain,(
% 0.07/0.28 spl0_3 <=> nil=sk3),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f460,plain,(
% 0.07/0.28 ~nil=sk3|spl0_3),
% 0.07/0.28 inference(component_clause,[status(thm)],[f458])).
% 0.07/0.28 fof(f461,plain,(
% 0.07/0.28 spl0_2|~spl0_3),
% 0.07/0.28 inference(split_clause,[status(thm)],[f446,f455,f458])).
% 0.07/0.28 fof(f462,plain,(
% 0.07/0.28 spl0_4 <=> nil=sk2),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f464,plain,(
% 0.07/0.28 ~nil=sk2|spl0_4),
% 0.07/0.28 inference(component_clause,[status(thm)],[f462])).
% 0.07/0.28 fof(f465,plain,(
% 0.07/0.28 spl0_5 <=> nil=sk1),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f466,plain,(
% 0.07/0.28 nil=sk1|~spl0_5),
% 0.07/0.28 inference(component_clause,[status(thm)],[f465])).
% 0.07/0.28 fof(f468,plain,(
% 0.07/0.28 ~spl0_4|~spl0_5),
% 0.07/0.28 inference(split_clause,[status(thm)],[f447,f462,f465])).
% 0.07/0.28 fof(f487,plain,(
% 0.07/0.28 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.07/0.28 inference(destructive_equality_resolution,[status(esa)],[f407])).
% 0.07/0.28 fof(f501,plain,(
% 0.07/0.28 ~nil=sk1|spl0_3),
% 0.07/0.28 inference(forward_demodulation,[status(thm)],[f436,f460])).
% 0.07/0.28 fof(f512,plain,(
% 0.07/0.28 app(app(sk5,sk1),sk6)=sk4),
% 0.07/0.28 inference(forward_demodulation,[status(thm)],[f436,f440])).
% 0.07/0.28 fof(f513,plain,(
% 0.07/0.28 app(app(sk5,sk1),sk6)=sk2),
% 0.07/0.28 inference(forward_demodulation,[status(thm)],[f435,f512])).
% 0.07/0.28 fof(f516,plain,(
% 0.07/0.28 spl0_6 <=> ssList(nil)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f518,plain,(
% 0.07/0.28 ~ssList(nil)|spl0_6),
% 0.07/0.28 inference(component_clause,[status(thm)],[f516])).
% 0.07/0.28 fof(f526,plain,(
% 0.07/0.28 $false|spl0_6),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f518,f208])).
% 0.07/0.28 fof(f527,plain,(
% 0.07/0.28 spl0_6),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f526])).
% 0.07/0.28 fof(f529,plain,(
% 0.07/0.28 spl0_8 <=> ssList(sk6)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f531,plain,(
% 0.07/0.28 ~ssList(sk6)|spl0_8),
% 0.07/0.28 inference(component_clause,[status(thm)],[f529])).
% 0.07/0.28 fof(f540,plain,(
% 0.07/0.28 spl0_11 <=> ssList(sk1)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f542,plain,(
% 0.07/0.28 ~ssList(sk1)|spl0_11),
% 0.07/0.28 inference(component_clause,[status(thm)],[f540])).
% 0.07/0.28 fof(f543,plain,(
% 0.07/0.28 spl0_12 <=> ssList(sk5)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f545,plain,(
% 0.07/0.28 ~ssList(sk5)|spl0_12),
% 0.07/0.28 inference(component_clause,[status(thm)],[f543])).
% 0.07/0.28 fof(f548,plain,(
% 0.07/0.28 $false|spl0_12),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f545,f438])).
% 0.07/0.28 fof(f549,plain,(
% 0.07/0.28 spl0_12),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f548])).
% 0.07/0.28 fof(f550,plain,(
% 0.07/0.28 $false|spl0_11),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f542,f431])).
% 0.07/0.28 fof(f551,plain,(
% 0.07/0.28 spl0_11),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f550])).
% 0.07/0.28 fof(f552,plain,(
% 0.07/0.28 $false|spl0_8),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f531,f439])).
% 0.07/0.28 fof(f553,plain,(
% 0.07/0.28 spl0_8),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f552])).
% 0.07/0.28 fof(f567,plain,(
% 0.07/0.28 spl0_14 <=> ~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f568,plain,(
% 0.07/0.28 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~spl0_14)),
% 0.07/0.28 inference(component_clause,[status(thm)],[f567])).
% 0.07/0.28 fof(f570,plain,(
% 0.07/0.28 ![X0]: (~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.07/0.28 inference(resolution,[status(thm)],[f303,f437])).
% 0.07/0.28 fof(f571,plain,(
% 0.07/0.28 ~spl0_6|spl0_14),
% 0.07/0.28 inference(split_clause,[status(thm)],[f570,f516,f567])).
% 0.07/0.28 fof(f572,plain,(
% 0.07/0.28 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk2,X0)|~segmentP(sk1,X0)|~spl0_14)),
% 0.07/0.28 inference(duplicate_literals_removal,[status(esa)],[f568])).
% 0.07/0.28 fof(f786,plain,(
% 0.07/0.28 spl0_44 <=> ssList(app(app(sk5,sk1),sk6))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f788,plain,(
% 0.07/0.28 ~ssList(app(app(sk5,sk1),sk6))|spl0_44),
% 0.07/0.28 inference(component_clause,[status(thm)],[f786])).
% 0.07/0.28 fof(f789,plain,(
% 0.07/0.28 spl0_45 <=> segmentP(sk2,sk1)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f790,plain,(
% 0.07/0.28 segmentP(sk2,sk1)|~spl0_45),
% 0.07/0.28 inference(component_clause,[status(thm)],[f789])).
% 0.07/0.28 fof(f792,plain,(
% 0.07/0.28 ~ssList(sk6)|~ssList(sk5)|~ssList(sk1)|~ssList(app(app(sk5,sk1),sk6))|segmentP(sk2,sk1)),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f513,f487])).
% 0.07/0.28 fof(f793,plain,(
% 0.07/0.28 ~spl0_8|~spl0_12|~spl0_11|~spl0_44|spl0_45),
% 0.07/0.28 inference(split_clause,[status(thm)],[f792,f529,f543,f540,f786,f789])).
% 0.07/0.28 fof(f804,plain,(
% 0.07/0.28 ~ssList(sk2)|spl0_44),
% 0.07/0.28 inference(forward_demodulation,[status(thm)],[f513,f788])).
% 0.07/0.28 fof(f805,plain,(
% 0.07/0.28 $false|spl0_44),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f804,f432])).
% 0.07/0.28 fof(f806,plain,(
% 0.07/0.28 spl0_44),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f805])).
% 0.07/0.28 fof(f813,plain,(
% 0.07/0.28 spl0_48 <=> segmentP(sk1,sk1)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f815,plain,(
% 0.07/0.28 ~segmentP(sk1,sk1)|spl0_48),
% 0.07/0.28 inference(component_clause,[status(thm)],[f813])).
% 0.07/0.28 fof(f816,plain,(
% 0.07/0.28 ~ssList(sk1)|sk1=nil|~segmentP(sk1,sk1)|~spl0_45|~spl0_14),
% 0.07/0.28 inference(resolution,[status(thm)],[f790,f572])).
% 0.07/0.28 fof(f817,plain,(
% 0.07/0.28 ~spl0_11|spl0_5|~spl0_48|~spl0_45|~spl0_14),
% 0.07/0.28 inference(split_clause,[status(thm)],[f816,f540,f465,f813,f789,f567])).
% 0.07/0.28 fof(f823,plain,(
% 0.07/0.28 ~ssList(sk1)|spl0_48),
% 0.07/0.28 inference(resolution,[status(thm)],[f815,f257])).
% 0.07/0.28 fof(f824,plain,(
% 0.07/0.28 ~spl0_11|spl0_48),
% 0.07/0.28 inference(split_clause,[status(thm)],[f823,f540,f813])).
% 0.07/0.28 fof(f825,plain,(
% 0.07/0.28 $false|spl0_3|~spl0_5),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f466,f501])).
% 0.07/0.28 fof(f826,plain,(
% 0.07/0.28 spl0_3|~spl0_5),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f825])).
% 0.07/0.28 fof(f827,plain,(
% 0.07/0.28 nil=sk2|~spl0_2),
% 0.07/0.28 inference(forward_demodulation,[status(thm)],[f435,f456])).
% 0.07/0.28 fof(f828,plain,(
% 0.07/0.28 $false|spl0_4|~spl0_2),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f827,f464])).
% 0.07/0.28 fof(f829,plain,(
% 0.07/0.28 spl0_4|~spl0_2),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f828])).
% 0.07/0.28 fof(f830,plain,(
% 0.07/0.28 $false),
% 0.07/0.28 inference(sat_refutation,[status(thm)],[f461,f468,f527,f549,f551,f553,f571,f793,f806,f817,f824,f826,f829])).
% 0.07/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.30 % Elapsed time: 0.023809 seconds
% 0.10/0.30 % CPU time: 0.074170 seconds
% 0.10/0.30 % Total memory used: 23.136 MB
% 0.10/0.30 % Net memory used: 23.061 MB
%------------------------------------------------------------------------------