TSTP Solution File: SWC399-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC399-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:45:38 EDT 2024
% Result : Unsatisfiable 0.08s 0.31s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWC399-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 00:20:05 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.30 % Drodi V3.6.0
% 0.08/0.31 % Refutation found
% 0.08/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.31 fof(f85,axiom,(
% 0.08/0.31 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f140,axiom,(
% 0.08/0.31 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f141,axiom,(
% 0.08/0.31 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f149,axiom,(
% 0.08/0.31 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f186,negated_conjecture,(
% 0.08/0.31 ssList(sk1) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f190,negated_conjecture,(
% 0.08/0.31 sk2 = sk4 ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f191,negated_conjecture,(
% 0.08/0.31 sk1 = sk3 ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f192,negated_conjecture,(
% 0.08/0.31 ssList(sk5) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f193,negated_conjecture,(
% 0.08/0.31 ssList(sk6) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f194,negated_conjecture,(
% 0.08/0.31 app(app(sk5,sk3),sk6) = sk4 ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f198,negated_conjecture,(
% 0.08/0.31 ssItem(sk7) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f199,negated_conjecture,(
% 0.08/0.31 memberP(sk1,sk7) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f200,negated_conjecture,(
% 0.08/0.31 ~ memberP(sk2,sk7) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f287,plain,(
% 0.08/0.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f85])).
% 0.08/0.31 fof(f356,plain,(
% 0.08/0.31 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f140])).
% 0.08/0.31 fof(f357,plain,(
% 0.08/0.31 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f141])).
% 0.08/0.31 fof(f370,plain,(
% 0.08/0.31 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f149])).
% 0.08/0.31 fof(f432,plain,(
% 0.08/0.31 ssList(sk1)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f186])).
% 0.08/0.31 fof(f436,plain,(
% 0.08/0.31 sk2=sk4),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f190])).
% 0.08/0.31 fof(f437,plain,(
% 0.08/0.31 sk1=sk3),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f191])).
% 0.08/0.31 fof(f438,plain,(
% 0.08/0.31 ssList(sk5)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f192])).
% 0.08/0.31 fof(f439,plain,(
% 0.08/0.31 ssList(sk6)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f193])).
% 0.08/0.31 fof(f440,plain,(
% 0.08/0.31 app(app(sk5,sk3),sk6)=sk4),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f194])).
% 0.08/0.31 fof(f446,plain,(
% 0.08/0.31 ssItem(sk7)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f198])).
% 0.08/0.31 fof(f447,plain,(
% 0.08/0.31 memberP(sk1,sk7)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f199])).
% 0.08/0.31 fof(f448,plain,(
% 0.08/0.31 ~memberP(sk2,sk7)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f200])).
% 0.08/0.31 fof(f507,plain,(
% 0.08/0.31 app(app(sk5,sk1),sk6)=sk4),
% 0.08/0.31 inference(forward_demodulation,[status(thm)],[f437,f440])).
% 0.08/0.31 fof(f508,plain,(
% 0.08/0.31 app(app(sk5,sk1),sk6)=sk2),
% 0.08/0.31 inference(forward_demodulation,[status(thm)],[f436,f507])).
% 0.08/0.31 fof(f512,plain,(
% 0.08/0.31 spl0_4 <=> ssList(sk6)),
% 0.08/0.31 introduced(split_symbol_definition)).
% 0.08/0.31 fof(f514,plain,(
% 0.08/0.31 ~ssList(sk6)|spl0_4),
% 0.08/0.31 inference(component_clause,[status(thm)],[f512])).
% 0.08/0.31 fof(f528,plain,(
% 0.08/0.31 spl0_8 <=> ssList(sk1)),
% 0.08/0.31 introduced(split_symbol_definition)).
% 0.08/0.31 fof(f530,plain,(
% 0.08/0.31 ~ssList(sk1)|spl0_8),
% 0.08/0.31 inference(component_clause,[status(thm)],[f528])).
% 0.08/0.31 fof(f531,plain,(
% 0.08/0.31 spl0_9 <=> ssList(sk5)),
% 0.08/0.31 introduced(split_symbol_definition)).
% 0.08/0.31 fof(f533,plain,(
% 0.08/0.31 ~ssList(sk5)|spl0_9),
% 0.08/0.31 inference(component_clause,[status(thm)],[f531])).
% 0.08/0.31 fof(f536,plain,(
% 0.08/0.31 $false|spl0_9),
% 0.08/0.31 inference(forward_subsumption_resolution,[status(thm)],[f533,f438])).
% 0.12/0.31 fof(f537,plain,(
% 0.12/0.31 spl0_9),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f536])).
% 0.12/0.31 fof(f538,plain,(
% 0.12/0.31 $false|spl0_8),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f530,f432])).
% 0.12/0.31 fof(f539,plain,(
% 0.12/0.31 spl0_8),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f538])).
% 0.12/0.31 fof(f540,plain,(
% 0.12/0.31 $false|spl0_4),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f514,f439])).
% 0.12/0.31 fof(f541,plain,(
% 0.12/0.31 spl0_4),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f540])).
% 0.12/0.31 fof(f637,plain,(
% 0.12/0.31 spl0_24 <=> sk2=app(sk5,app(sk1,sk6))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f638,plain,(
% 0.12/0.31 sk2=app(sk5,app(sk1,sk6))|~spl0_24),
% 0.12/0.31 inference(component_clause,[status(thm)],[f637])).
% 0.12/0.31 fof(f640,plain,(
% 0.12/0.31 ~ssList(sk6)|~ssList(sk1)|~ssList(sk5)|sk2=app(sk5,app(sk1,sk6))),
% 0.12/0.31 inference(paramodulation,[status(thm)],[f508,f370])).
% 0.12/0.31 fof(f641,plain,(
% 0.12/0.31 ~spl0_4|~spl0_8|~spl0_9|spl0_24),
% 0.12/0.31 inference(split_clause,[status(thm)],[f640,f512,f528,f531,f637])).
% 0.12/0.31 fof(f650,plain,(
% 0.12/0.31 spl0_27 <=> ssList(app(sk1,sk6))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f652,plain,(
% 0.12/0.32 ~ssList(app(sk1,sk6))|spl0_27),
% 0.12/0.32 inference(component_clause,[status(thm)],[f650])).
% 0.12/0.32 fof(f674,plain,(
% 0.12/0.32 spl0_31 <=> ~memberP(app(sk1,sk6),X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f675,plain,(
% 0.12/0.32 ![X0]: (~memberP(app(sk1,sk6),X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_31)),
% 0.12/0.32 inference(component_clause,[status(thm)],[f674])).
% 0.12/0.32 fof(f677,plain,(
% 0.12/0.32 ![X0]: (~memberP(app(sk1,sk6),X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|~ssItem(X0)|memberP(sk2,X0)|~spl0_24)),
% 0.12/0.32 inference(paramodulation,[status(thm)],[f638,f357])).
% 0.12/0.32 fof(f678,plain,(
% 0.12/0.32 spl0_31|~spl0_27|~spl0_9|~spl0_24),
% 0.12/0.32 inference(split_clause,[status(thm)],[f677,f674,f650,f531,f637])).
% 0.12/0.32 fof(f691,plain,(
% 0.12/0.32 ~ssList(sk6)|~ssList(sk1)|spl0_27),
% 0.12/0.32 inference(resolution,[status(thm)],[f652,f287])).
% 0.12/0.32 fof(f692,plain,(
% 0.12/0.32 ~spl0_4|~spl0_8|spl0_27),
% 0.12/0.32 inference(split_clause,[status(thm)],[f691,f512,f528,f650])).
% 0.12/0.32 fof(f806,plain,(
% 0.12/0.32 spl0_43 <=> memberP(sk2,sk7)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f807,plain,(
% 0.12/0.32 memberP(sk2,sk7)|~spl0_43),
% 0.12/0.32 inference(component_clause,[status(thm)],[f806])).
% 0.12/0.32 fof(f809,plain,(
% 0.12/0.32 spl0_44 <=> ssItem(sk7)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f811,plain,(
% 0.12/0.32 ~ssItem(sk7)|spl0_44),
% 0.12/0.32 inference(component_clause,[status(thm)],[f809])).
% 0.12/0.32 fof(f814,plain,(
% 0.12/0.32 $false|spl0_44),
% 0.12/0.32 inference(forward_subsumption_resolution,[status(thm)],[f811,f446])).
% 0.12/0.32 fof(f815,plain,(
% 0.12/0.32 spl0_44),
% 0.12/0.32 inference(contradiction_clause,[status(thm)],[f814])).
% 0.12/0.32 fof(f816,plain,(
% 0.12/0.32 $false|~spl0_43),
% 0.12/0.32 inference(forward_subsumption_resolution,[status(thm)],[f807,f448])).
% 0.12/0.32 fof(f817,plain,(
% 0.12/0.32 ~spl0_43),
% 0.12/0.32 inference(contradiction_clause,[status(thm)],[f816])).
% 0.12/0.32 fof(f841,plain,(
% 0.12/0.32 spl0_48 <=> ~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssItem(X0)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f842,plain,(
% 0.12/0.32 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssItem(X0)|~spl0_48)),
% 0.12/0.32 inference(component_clause,[status(thm)],[f841])).
% 0.12/0.32 fof(f844,plain,(
% 0.12/0.32 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssList(sk6)|~ssList(sk1)|~ssItem(X0)|~spl0_31)),
% 0.12/0.32 inference(resolution,[status(thm)],[f675,f356])).
% 0.12/0.32 fof(f845,plain,(
% 0.12/0.32 spl0_48|~spl0_4|~spl0_8|~spl0_31),
% 0.12/0.32 inference(split_clause,[status(thm)],[f844,f841,f512,f528,f674])).
% 0.12/0.32 fof(f846,plain,(
% 0.12/0.32 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~spl0_48)),
% 0.12/0.32 inference(duplicate_literals_removal,[status(esa)],[f842])).
% 0.12/0.32 fof(f847,plain,(
% 0.12/0.32 ~ssItem(sk7)|memberP(sk2,sk7)|~spl0_48),
% 0.12/0.32 inference(resolution,[status(thm)],[f846,f447])).
% 0.12/0.32 fof(f848,plain,(
% 0.12/0.32 ~spl0_44|spl0_43|~spl0_48),
% 0.12/0.32 inference(split_clause,[status(thm)],[f847,f809,f806,f841])).
% 0.12/0.32 fof(f849,plain,(
% 0.12/0.32 $false),
% 0.12/0.32 inference(sat_refutation,[status(thm)],[f537,f539,f541,f641,f678,f692,f815,f817,f845,f848])).
% 0.12/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.32 % Elapsed time: 0.030609 seconds
% 0.12/0.32 % CPU time: 0.090444 seconds
% 0.12/0.32 % Total memory used: 19.770 MB
% 0.12/0.32 % Net memory used: 19.611 MB
%------------------------------------------------------------------------------