TSTP Solution File: SWC357-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC357-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:45:28 EDT 2024
% Result : Unsatisfiable 5.10s 1.08s
% Output : CNFRefutation 5.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC357-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:02:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 5.10/1.08 % Refutation found
% 5.10/1.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.10/1.08 % SZS output start CNFRefutation for theBenchmark
% 5.10/1.08 fof(f8,axiom,(
% 5.10/1.08 ssList(nil) ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f51,axiom,(
% 5.10/1.08 (![U,V]: (ssList(skaf45(U,V)) ))),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f74,axiom,(
% 5.10/1.08 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f115,axiom,(
% 5.10/1.08 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f132,axiom,(
% 5.10/1.08 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f173,axiom,(
% 5.10/1.08 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f186,negated_conjecture,(
% 5.10/1.08 ssList(sk1) ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f187,negated_conjecture,(
% 5.10/1.08 ssList(sk2) ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f190,negated_conjecture,(
% 5.10/1.08 sk2 = sk4 ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f191,negated_conjecture,(
% 5.10/1.08 sk1 = sk3 ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f192,negated_conjecture,(
% 5.10/1.08 neq(sk2,nil) ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f193,negated_conjecture,(
% 5.10/1.08 ~ segmentP(sk2,sk1) ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f195,negated_conjecture,(
% 5.10/1.08 ( nil = sk4| frontsegP(sk4,sk3) ) ),
% 5.10/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.10/1.08 fof(f205,plain,(
% 5.10/1.08 ssList(nil)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f8])).
% 5.10/1.08 fof(f248,plain,(
% 5.10/1.08 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f51])).
% 5.10/1.08 fof(f272,plain,(
% 5.10/1.08 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f74])).
% 5.10/1.08 fof(f318,plain,(
% 5.10/1.08 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 5.10/1.08 inference(miniscoping,[status(esa)],[f115])).
% 5.10/1.08 fof(f319,plain,(
% 5.10/1.08 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f318])).
% 5.10/1.08 fof(f342,plain,(
% 5.10/1.08 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f132])).
% 5.10/1.08 fof(f403,plain,(
% 5.10/1.08 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 5.10/1.08 inference(miniscoping,[status(esa)],[f173])).
% 5.10/1.08 fof(f404,plain,(
% 5.10/1.08 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f403])).
% 5.10/1.08 fof(f428,plain,(
% 5.10/1.08 ssList(sk1)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f186])).
% 5.10/1.08 fof(f429,plain,(
% 5.10/1.08 ssList(sk2)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f187])).
% 5.10/1.08 fof(f432,plain,(
% 5.10/1.08 sk2=sk4),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f190])).
% 5.10/1.08 fof(f433,plain,(
% 5.10/1.08 sk1=sk3),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f191])).
% 5.10/1.08 fof(f434,plain,(
% 5.10/1.08 neq(sk2,nil)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f192])).
% 5.10/1.08 fof(f435,plain,(
% 5.10/1.08 ~segmentP(sk2,sk1)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f193])).
% 5.10/1.08 fof(f437,plain,(
% 5.10/1.08 nil=sk4|frontsegP(sk4,sk3)),
% 5.10/1.08 inference(cnf_transformation,[status(esa)],[f195])).
% 5.10/1.08 fof(f447,plain,(
% 5.10/1.08 spl0_2 <=> nil=sk4),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f448,plain,(
% 5.10/1.08 nil=sk4|~spl0_2),
% 5.10/1.08 inference(component_clause,[status(thm)],[f447])).
% 5.10/1.08 fof(f454,plain,(
% 5.10/1.08 spl0_4 <=> frontsegP(sk4,sk3)),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f455,plain,(
% 5.10/1.08 frontsegP(sk4,sk3)|~spl0_4),
% 5.10/1.08 inference(component_clause,[status(thm)],[f454])).
% 5.10/1.08 fof(f457,plain,(
% 5.10/1.08 spl0_2|spl0_4),
% 5.10/1.08 inference(split_clause,[status(thm)],[f437,f447,f454])).
% 5.10/1.08 fof(f470,plain,(
% 5.10/1.08 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 5.10/1.08 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 5.10/1.08 fof(f471,plain,(
% 5.10/1.08 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 5.10/1.08 inference(duplicate_literals_removal,[status(esa)],[f470])).
% 5.10/1.08 fof(f483,plain,(
% 5.10/1.08 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 5.10/1.08 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 5.10/1.08 fof(f495,plain,(
% 5.10/1.08 nil=sk2|~spl0_2),
% 5.10/1.08 inference(forward_demodulation,[status(thm)],[f432,f448])).
% 5.10/1.08 fof(f505,plain,(
% 5.10/1.08 neq(nil,nil)|~spl0_2),
% 5.10/1.08 inference(backward_demodulation,[status(thm)],[f495,f434])).
% 5.10/1.08 fof(f510,plain,(
% 5.10/1.08 ~neq(nil,nil)),
% 5.10/1.08 inference(resolution,[status(thm)],[f205,f471])).
% 5.10/1.08 fof(f511,plain,(
% 5.10/1.08 $false|~spl0_2),
% 5.10/1.08 inference(forward_subsumption_resolution,[status(thm)],[f510,f505])).
% 5.10/1.08 fof(f512,plain,(
% 5.10/1.08 ~spl0_2),
% 5.10/1.08 inference(contradiction_clause,[status(thm)],[f511])).
% 5.10/1.08 fof(f516,plain,(
% 5.10/1.08 frontsegP(sk4,sk1)|~spl0_4),
% 5.10/1.08 inference(backward_demodulation,[status(thm)],[f433,f455])).
% 5.10/1.08 fof(f517,plain,(
% 5.10/1.08 frontsegP(sk2,sk1)|~spl0_4),
% 5.10/1.08 inference(forward_demodulation,[status(thm)],[f432,f516])).
% 5.10/1.08 fof(f519,plain,(
% 5.10/1.08 spl0_6 <=> ssList(nil)),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f521,plain,(
% 5.10/1.08 ~ssList(nil)|spl0_6),
% 5.10/1.08 inference(component_clause,[status(thm)],[f519])).
% 5.10/1.08 fof(f529,plain,(
% 5.10/1.08 $false|spl0_6),
% 5.10/1.08 inference(forward_subsumption_resolution,[status(thm)],[f521,f205])).
% 5.10/1.08 fof(f530,plain,(
% 5.10/1.08 spl0_6),
% 5.10/1.08 inference(contradiction_clause,[status(thm)],[f529])).
% 5.10/1.08 fof(f605,plain,(
% 5.10/1.08 spl0_8 <=> ssList(sk1)),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f607,plain,(
% 5.10/1.08 ~ssList(sk1)|spl0_8),
% 5.10/1.08 inference(component_clause,[status(thm)],[f605])).
% 5.10/1.08 fof(f613,plain,(
% 5.10/1.08 $false|spl0_8),
% 5.10/1.08 inference(forward_subsumption_resolution,[status(thm)],[f607,f428])).
% 5.10/1.08 fof(f614,plain,(
% 5.10/1.08 spl0_8),
% 5.10/1.08 inference(contradiction_clause,[status(thm)],[f613])).
% 5.10/1.08 fof(f615,plain,(
% 5.10/1.08 spl0_10 <=> ssList(sk2)),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f617,plain,(
% 5.10/1.08 ~ssList(sk2)|spl0_10),
% 5.10/1.08 inference(component_clause,[status(thm)],[f615])).
% 5.10/1.08 fof(f623,plain,(
% 5.10/1.08 $false|spl0_10),
% 5.10/1.08 inference(forward_subsumption_resolution,[status(thm)],[f617,f429])).
% 5.10/1.08 fof(f624,plain,(
% 5.10/1.08 spl0_10),
% 5.10/1.08 inference(contradiction_clause,[status(thm)],[f623])).
% 5.10/1.08 fof(f787,plain,(
% 5.10/1.08 app(nil,sk1)=sk1),
% 5.10/1.08 inference(resolution,[status(thm)],[f272,f428])).
% 5.10/1.08 fof(f1421,plain,(
% 5.10/1.08 spl0_51 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f1422,plain,(
% 5.10/1.08 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_51)),
% 5.10/1.08 inference(component_clause,[status(thm)],[f1421])).
% 5.10/1.08 fof(f1424,plain,(
% 5.10/1.08 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 5.10/1.08 inference(paramodulation,[status(thm)],[f787,f483])).
% 5.10/1.08 fof(f1425,plain,(
% 5.10/1.08 spl0_51|~spl0_6|~spl0_8),
% 5.10/1.08 inference(split_clause,[status(thm)],[f1424,f1421,f519,f605])).
% 5.10/1.08 fof(f1433,plain,(
% 5.10/1.08 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_51)),
% 5.10/1.08 inference(forward_demodulation,[status(thm)],[f787,f1422])).
% 5.10/1.08 fof(f1436,plain,(
% 5.10/1.08 ![X0]: (~frontsegP(X0,sk1)|~ssList(X0)|app(sk1,skaf45(X0,sk1))=X0)),
% 5.10/1.08 inference(resolution,[status(thm)],[f342,f428])).
% 5.10/1.08 fof(f1576,plain,(
% 5.10/1.08 spl0_54 <=> app(sk1,skaf45(sk2,sk1))=sk2),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f1577,plain,(
% 5.10/1.08 app(sk1,skaf45(sk2,sk1))=sk2|~spl0_54),
% 5.10/1.08 inference(component_clause,[status(thm)],[f1576])).
% 5.10/1.08 fof(f1579,plain,(
% 5.10/1.08 ~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2|~spl0_4),
% 5.10/1.08 inference(resolution,[status(thm)],[f1436,f517])).
% 5.10/1.08 fof(f1580,plain,(
% 5.10/1.08 ~spl0_10|spl0_54|~spl0_4),
% 5.10/1.08 inference(split_clause,[status(thm)],[f1579,f615,f1576,f454])).
% 5.10/1.08 fof(f2040,plain,(
% 5.10/1.08 spl0_81 <=> ssList(skaf45(sk2,sk1))),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f2042,plain,(
% 5.10/1.08 ~ssList(skaf45(sk2,sk1))|spl0_81),
% 5.10/1.08 inference(component_clause,[status(thm)],[f2040])).
% 5.10/1.08 fof(f2043,plain,(
% 5.10/1.08 spl0_82 <=> ssList(app(sk1,skaf45(sk2,sk1)))),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f2045,plain,(
% 5.10/1.08 ~ssList(app(sk1,skaf45(sk2,sk1)))|spl0_82),
% 5.10/1.08 inference(component_clause,[status(thm)],[f2043])).
% 5.10/1.08 fof(f2046,plain,(
% 5.10/1.08 spl0_83 <=> segmentP(sk2,sk1)),
% 5.10/1.08 introduced(split_symbol_definition)).
% 5.10/1.08 fof(f2047,plain,(
% 5.63/1.08 segmentP(sk2,sk1)|~spl0_83),
% 5.63/1.08 inference(component_clause,[status(thm)],[f2046])).
% 5.63/1.08 fof(f2049,plain,(
% 5.63/1.08 ~ssList(skaf45(sk2,sk1))|~ssList(app(sk1,skaf45(sk2,sk1)))|segmentP(sk2,sk1)|~spl0_51|~spl0_54),
% 5.63/1.08 inference(paramodulation,[status(thm)],[f1577,f1433])).
% 5.63/1.08 fof(f2050,plain,(
% 5.63/1.08 ~spl0_81|~spl0_82|spl0_83|~spl0_51|~spl0_54),
% 5.63/1.08 inference(split_clause,[status(thm)],[f2049,f2040,f2043,f2046,f1421,f1576])).
% 5.63/1.08 fof(f2094,plain,(
% 5.63/1.08 $false|spl0_81),
% 5.63/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2042,f248])).
% 5.63/1.08 fof(f2095,plain,(
% 5.63/1.08 spl0_81),
% 5.63/1.08 inference(contradiction_clause,[status(thm)],[f2094])).
% 5.63/1.08 fof(f2096,plain,(
% 5.63/1.08 ~ssList(sk2)|~spl0_54|spl0_82),
% 5.63/1.08 inference(forward_demodulation,[status(thm)],[f1577,f2045])).
% 5.63/1.08 fof(f2097,plain,(
% 5.63/1.08 $false|~spl0_54|spl0_82),
% 5.63/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2096,f429])).
% 5.63/1.08 fof(f2098,plain,(
% 5.63/1.08 ~spl0_54|spl0_82),
% 5.63/1.08 inference(contradiction_clause,[status(thm)],[f2097])).
% 5.63/1.08 fof(f2107,plain,(
% 5.63/1.08 $false|~spl0_83),
% 5.63/1.08 inference(forward_subsumption_resolution,[status(thm)],[f2047,f435])).
% 5.63/1.08 fof(f2108,plain,(
% 5.63/1.08 ~spl0_83),
% 5.63/1.08 inference(contradiction_clause,[status(thm)],[f2107])).
% 5.63/1.08 fof(f2109,plain,(
% 5.63/1.08 $false),
% 5.63/1.08 inference(sat_refutation,[status(thm)],[f457,f512,f530,f614,f624,f1425,f1580,f2050,f2095,f2098,f2108])).
% 5.63/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 5.63/1.10 % Elapsed time: 0.733404 seconds
% 5.63/1.10 % CPU time: 5.659503 seconds
% 5.63/1.10 % Total memory used: 119.310 MB
% 5.63/1.10 % Net memory used: 116.331 MB
%------------------------------------------------------------------------------