TSTP Solution File: SWC404-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC404-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:40:20 EDT 2023
% Result : Unsatisfiable 0.10s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWC404-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n021.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:19:52 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.35 fof(f85,axiom,(
% 0.10/0.35 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f140,axiom,(
% 0.10/0.35 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f141,axiom,(
% 0.10/0.35 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f186,negated_conjecture,(
% 0.10/0.35 ssList(sk1) ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f190,negated_conjecture,(
% 0.10/0.35 sk2 = sk4 ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f191,negated_conjecture,(
% 0.10/0.35 sk1 = sk3 ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f192,negated_conjecture,(
% 0.10/0.35 ssList(sk5) ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f193,negated_conjecture,(
% 0.10/0.35 ssList(sk6) ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f194,negated_conjecture,(
% 0.10/0.35 app(app(sk5,sk3),sk6) = sk4 ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f198,negated_conjecture,(
% 0.10/0.35 ssItem(sk7) ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f199,negated_conjecture,(
% 0.10/0.35 memberP(sk1,sk7) ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f200,negated_conjecture,(
% 0.10/0.35 ~ memberP(sk2,sk7) ),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f287,plain,(
% 0.10/0.35 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f85])).
% 0.10/0.35 fof(f356,plain,(
% 0.10/0.35 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f140])).
% 0.10/0.35 fof(f357,plain,(
% 0.10/0.35 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f141])).
% 0.10/0.35 fof(f432,plain,(
% 0.10/0.35 ssList(sk1)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f186])).
% 0.10/0.35 fof(f436,plain,(
% 0.10/0.35 sk2=sk4),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f190])).
% 0.10/0.35 fof(f437,plain,(
% 0.10/0.35 sk1=sk3),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f191])).
% 0.10/0.35 fof(f438,plain,(
% 0.10/0.35 ssList(sk5)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f192])).
% 0.10/0.35 fof(f439,plain,(
% 0.10/0.35 ssList(sk6)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f193])).
% 0.10/0.35 fof(f440,plain,(
% 0.10/0.35 app(app(sk5,sk3),sk6)=sk4),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f194])).
% 0.10/0.35 fof(f446,plain,(
% 0.10/0.35 ssItem(sk7)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f198])).
% 0.10/0.35 fof(f447,plain,(
% 0.10/0.35 memberP(sk1,sk7)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f199])).
% 0.10/0.35 fof(f448,plain,(
% 0.10/0.35 ~memberP(sk2,sk7)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f200])).
% 0.10/0.35 fof(f507,plain,(
% 0.10/0.35 app(app(sk5,sk1),sk6)=sk4),
% 0.10/0.35 inference(forward_demodulation,[status(thm)],[f437,f440])).
% 0.10/0.35 fof(f508,plain,(
% 0.10/0.35 app(app(sk5,sk1),sk6)=sk2),
% 0.10/0.35 inference(forward_demodulation,[status(thm)],[f436,f507])).
% 0.10/0.35 fof(f512,plain,(
% 0.10/0.35 spl0_4 <=> ssList(sk6)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f514,plain,(
% 0.10/0.35 ~ssList(sk6)|spl0_4),
% 0.10/0.35 inference(component_clause,[status(thm)],[f512])).
% 0.10/0.35 fof(f515,plain,(
% 0.10/0.35 spl0_5 <=> ssList(app(sk5,sk1))),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f517,plain,(
% 0.10/0.35 ~ssList(app(sk5,sk1))|spl0_5),
% 0.10/0.35 inference(component_clause,[status(thm)],[f515])).
% 0.10/0.35 fof(f535,plain,(
% 0.10/0.35 spl0_8 <=> ssList(sk1)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f537,plain,(
% 0.10/0.35 ~ssList(sk1)|spl0_8),
% 0.10/0.35 inference(component_clause,[status(thm)],[f535])).
% 0.10/0.35 fof(f538,plain,(
% 0.10/0.35 spl0_9 <=> ssList(sk5)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f540,plain,(
% 0.10/0.35 ~ssList(sk5)|spl0_9),
% 0.10/0.35 inference(component_clause,[status(thm)],[f538])).
% 0.10/0.35 fof(f541,plain,(
% 0.10/0.35 ~ssList(sk1)|~ssList(sk5)|spl0_5),
% 0.10/0.35 inference(resolution,[status(thm)],[f517,f287])).
% 0.10/0.35 fof(f542,plain,(
% 0.10/0.35 ~spl0_8|~spl0_9|spl0_5),
% 0.10/0.35 inference(split_clause,[status(thm)],[f541,f535,f538,f515])).
% 0.10/0.35 fof(f543,plain,(
% 0.10/0.35 $false|spl0_9),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f540,f438])).
% 0.18/0.60 fof(f544,plain,(
% 0.18/0.60 spl0_9),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f543])).
% 0.18/0.60 fof(f545,plain,(
% 0.18/0.60 $false|spl0_8),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f537,f432])).
% 0.18/0.60 fof(f546,plain,(
% 0.18/0.60 spl0_8),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f545])).
% 0.18/0.60 fof(f547,plain,(
% 0.18/0.60 $false|spl0_4),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f514,f439])).
% 0.18/0.60 fof(f548,plain,(
% 0.18/0.60 spl0_4),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f547])).
% 0.18/0.60 fof(f671,plain,(
% 0.18/0.60 spl0_29 <=> memberP(sk2,sk7)),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f672,plain,(
% 0.18/0.60 memberP(sk2,sk7)|~spl0_29),
% 0.18/0.60 inference(component_clause,[status(thm)],[f671])).
% 0.18/0.60 fof(f674,plain,(
% 0.18/0.60 spl0_30 <=> ssItem(sk7)),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f676,plain,(
% 0.18/0.60 ~ssItem(sk7)|spl0_30),
% 0.18/0.60 inference(component_clause,[status(thm)],[f674])).
% 0.18/0.60 fof(f679,plain,(
% 0.18/0.60 $false|spl0_30),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f676,f446])).
% 0.18/0.60 fof(f680,plain,(
% 0.18/0.60 spl0_30),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f679])).
% 0.18/0.60 fof(f681,plain,(
% 0.18/0.60 $false|~spl0_29),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f672,f448])).
% 0.18/0.60 fof(f682,plain,(
% 0.18/0.60 ~spl0_29),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f681])).
% 0.18/0.60 fof(f773,plain,(
% 0.18/0.60 spl0_43 <=> ~memberP(app(sk5,sk1),X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f774,plain,(
% 0.18/0.60 ![X0]: (~memberP(app(sk5,sk1),X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_43)),
% 0.18/0.60 inference(component_clause,[status(thm)],[f773])).
% 0.18/0.60 fof(f776,plain,(
% 0.18/0.60 ![X0]: (~memberP(app(sk5,sk1),X0)|~ssList(sk6)|~ssList(app(sk5,sk1))|~ssItem(X0)|memberP(sk2,X0))),
% 0.18/0.60 inference(paramodulation,[status(thm)],[f508,f356])).
% 0.18/0.60 fof(f777,plain,(
% 0.18/0.60 spl0_43|~spl0_4|~spl0_5),
% 0.18/0.60 inference(split_clause,[status(thm)],[f776,f773,f512,f515])).
% 0.18/0.60 fof(f824,plain,(
% 0.18/0.60 spl0_50 <=> ~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssItem(X0)),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f825,plain,(
% 0.18/0.60 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssItem(X0)|~spl0_50)),
% 0.18/0.60 inference(component_clause,[status(thm)],[f824])).
% 0.18/0.60 fof(f827,plain,(
% 0.18/0.60 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssList(sk1)|~ssList(sk5)|~ssItem(X0)|~spl0_43)),
% 0.18/0.60 inference(resolution,[status(thm)],[f774,f357])).
% 0.18/0.60 fof(f828,plain,(
% 0.18/0.60 spl0_50|~spl0_8|~spl0_9|~spl0_43),
% 0.18/0.60 inference(split_clause,[status(thm)],[f827,f824,f535,f538,f773])).
% 0.18/0.60 fof(f829,plain,(
% 0.18/0.60 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~spl0_50)),
% 0.18/0.60 inference(duplicate_literals_removal,[status(esa)],[f825])).
% 0.18/0.60 fof(f836,plain,(
% 0.18/0.60 ~ssItem(sk7)|memberP(sk2,sk7)|~spl0_50),
% 0.18/0.60 inference(resolution,[status(thm)],[f829,f447])).
% 0.18/0.60 fof(f837,plain,(
% 0.18/0.60 ~spl0_30|spl0_29|~spl0_50),
% 0.18/0.60 inference(split_clause,[status(thm)],[f836,f674,f671,f824])).
% 0.18/0.60 fof(f838,plain,(
% 0.18/0.60 $false),
% 0.18/0.60 inference(sat_refutation,[status(thm)],[f542,f544,f546,f548,f680,f682,f777,f828,f837])).
% 0.18/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.60 % Elapsed time: 0.049003 seconds
% 0.18/0.60 % CPU time: 0.027797 seconds
% 0.18/0.60 % Memory used: 4.373 MB
%------------------------------------------------------------------------------