TSTP Solution File: SWC331-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC331-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:45:23 EDT 2024
% Result : Unsatisfiable 3.94s 0.92s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC331-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:31:29 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 3.94/0.92 % Refutation found
% 3.94/0.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.94/0.92 % SZS output start CNFRefutation for theBenchmark
% 3.94/0.92 fof(f8,axiom,(
% 3.94/0.92 ssList(nil) ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f74,axiom,(
% 3.94/0.92 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f173,axiom,(
% 3.94/0.92 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f186,negated_conjecture,(
% 3.94/0.92 ssList(sk1) ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f187,negated_conjecture,(
% 3.94/0.92 ssList(sk2) ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f190,negated_conjecture,(
% 3.94/0.92 sk2 = sk4 ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f191,negated_conjecture,(
% 3.94/0.92 sk1 = sk3 ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f192,negated_conjecture,(
% 3.94/0.92 ssList(sk5) ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f193,negated_conjecture,(
% 3.94/0.92 app(sk3,sk5) = sk4 ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f194,negated_conjecture,(
% 3.94/0.92 equalelemsP(sk3) ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f197,negated_conjecture,(
% 3.94/0.92 ( ~ segmentP(sk2,sk1)| ~ equalelemsP(sk1) ) ),
% 3.94/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.94/0.92 fof(f205,plain,(
% 3.94/0.92 ssList(nil)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f8])).
% 3.94/0.92 fof(f272,plain,(
% 3.94/0.92 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f74])).
% 3.94/0.92 fof(f403,plain,(
% 3.94/0.92 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 3.94/0.92 inference(miniscoping,[status(esa)],[f173])).
% 3.94/0.92 fof(f404,plain,(
% 3.94/0.92 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f403])).
% 3.94/0.92 fof(f428,plain,(
% 3.94/0.92 ssList(sk1)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f186])).
% 3.94/0.92 fof(f429,plain,(
% 3.94/0.92 ssList(sk2)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f187])).
% 3.94/0.92 fof(f432,plain,(
% 3.94/0.92 sk2=sk4),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f190])).
% 3.94/0.92 fof(f433,plain,(
% 3.94/0.92 sk1=sk3),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f191])).
% 3.94/0.92 fof(f434,plain,(
% 3.94/0.92 ssList(sk5)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f192])).
% 3.94/0.92 fof(f435,plain,(
% 3.94/0.92 app(sk3,sk5)=sk4),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f193])).
% 3.94/0.92 fof(f436,plain,(
% 3.94/0.92 equalelemsP(sk3)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f194])).
% 3.94/0.92 fof(f440,plain,(
% 3.94/0.92 ~segmentP(sk2,sk1)|~equalelemsP(sk1)),
% 3.94/0.92 inference(cnf_transformation,[status(esa)],[f197])).
% 3.94/0.92 fof(f455,plain,(
% 3.94/0.92 spl0_4 <=> segmentP(sk2,sk1)),
% 3.94/0.92 introduced(split_symbol_definition)).
% 3.94/0.92 fof(f458,plain,(
% 3.94/0.92 spl0_5 <=> equalelemsP(sk1)),
% 3.94/0.92 introduced(split_symbol_definition)).
% 3.94/0.92 fof(f460,plain,(
% 3.94/0.92 ~equalelemsP(sk1)|spl0_5),
% 3.94/0.92 inference(component_clause,[status(thm)],[f458])).
% 3.94/0.92 fof(f461,plain,(
% 3.94/0.92 ~spl0_4|~spl0_5),
% 3.94/0.92 inference(split_clause,[status(thm)],[f440,f455,f458])).
% 3.94/0.92 fof(f482,plain,(
% 3.94/0.92 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 3.94/0.92 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 3.94/0.92 fof(f493,plain,(
% 3.94/0.92 app(sk1,sk5)=sk4),
% 3.94/0.92 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 3.94/0.92 fof(f494,plain,(
% 3.94/0.92 app(sk1,sk5)=sk2),
% 3.94/0.92 inference(forward_demodulation,[status(thm)],[f432,f493])).
% 3.94/0.92 fof(f495,plain,(
% 3.94/0.92 equalelemsP(sk1)),
% 3.94/0.92 inference(forward_demodulation,[status(thm)],[f433,f436])).
% 3.94/0.92 fof(f509,plain,(
% 3.94/0.92 app(nil,sk1)=sk1),
% 3.94/0.92 inference(resolution,[status(thm)],[f272,f428])).
% 3.94/0.92 fof(f537,plain,(
% 3.94/0.92 spl0_6 <=> ssList(nil)),
% 3.94/0.92 introduced(split_symbol_definition)).
% 3.94/0.92 fof(f539,plain,(
% 3.94/0.92 ~ssList(nil)|spl0_6),
% 3.94/0.92 inference(component_clause,[status(thm)],[f537])).
% 3.94/0.92 fof(f547,plain,(
% 3.94/0.92 $false|spl0_6),
% 3.94/0.92 inference(forward_subsumption_resolution,[status(thm)],[f539,f205])).
% 3.94/0.92 fof(f548,plain,(
% 3.94/0.92 spl0_6),
% 3.94/0.92 inference(contradiction_clause,[status(thm)],[f547])).
% 3.94/0.92 fof(f562,plain,(
% 4.41/0.93 spl0_8 <=> ssList(sk1)),
% 4.41/0.93 introduced(split_symbol_definition)).
% 4.41/0.93 fof(f564,plain,(
% 4.41/0.93 ~ssList(sk1)|spl0_8),
% 4.41/0.93 inference(component_clause,[status(thm)],[f562])).
% 4.41/0.93 fof(f572,plain,(
% 4.41/0.93 spl0_10 <=> ssList(sk5)),
% 4.41/0.93 introduced(split_symbol_definition)).
% 4.41/0.93 fof(f574,plain,(
% 4.41/0.93 ~ssList(sk5)|spl0_10),
% 4.41/0.93 inference(component_clause,[status(thm)],[f572])).
% 4.41/0.93 fof(f585,plain,(
% 4.41/0.93 $false|spl0_8),
% 4.41/0.93 inference(forward_subsumption_resolution,[status(thm)],[f564,f428])).
% 4.41/0.93 fof(f586,plain,(
% 4.41/0.93 spl0_8),
% 4.41/0.93 inference(contradiction_clause,[status(thm)],[f585])).
% 4.41/0.93 fof(f587,plain,(
% 4.41/0.93 $false|spl0_10),
% 4.41/0.93 inference(forward_subsumption_resolution,[status(thm)],[f574,f434])).
% 4.41/0.93 fof(f588,plain,(
% 4.41/0.93 spl0_10),
% 4.41/0.93 inference(contradiction_clause,[status(thm)],[f587])).
% 4.41/0.93 fof(f1570,plain,(
% 4.41/0.93 $false|spl0_5),
% 4.41/0.93 inference(forward_subsumption_resolution,[status(thm)],[f460,f495])).
% 4.41/0.93 fof(f1571,plain,(
% 4.41/0.93 spl0_5),
% 4.41/0.93 inference(contradiction_clause,[status(thm)],[f1570])).
% 4.41/0.93 fof(f1961,plain,(
% 4.41/0.93 spl0_75 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 4.41/0.93 introduced(split_symbol_definition)).
% 4.41/0.93 fof(f1962,plain,(
% 4.41/0.93 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_75)),
% 4.41/0.93 inference(component_clause,[status(thm)],[f1961])).
% 4.41/0.93 fof(f1964,plain,(
% 4.41/0.93 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 4.41/0.93 inference(paramodulation,[status(thm)],[f509,f482])).
% 4.41/0.93 fof(f1965,plain,(
% 4.41/0.93 spl0_75|~spl0_6|~spl0_8),
% 4.41/0.93 inference(split_clause,[status(thm)],[f1964,f1961,f537,f562])).
% 4.41/0.93 fof(f1979,plain,(
% 4.41/0.93 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_75)),
% 4.41/0.93 inference(forward_demodulation,[status(thm)],[f509,f1962])).
% 4.41/0.93 fof(f2167,plain,(
% 4.41/0.93 spl0_83 <=> ssList(app(sk1,sk5))),
% 4.41/0.93 introduced(split_symbol_definition)).
% 4.41/0.93 fof(f2169,plain,(
% 4.41/0.93 ~ssList(app(sk1,sk5))|spl0_83),
% 4.41/0.93 inference(component_clause,[status(thm)],[f2167])).
% 4.41/0.93 fof(f2170,plain,(
% 4.41/0.93 ~ssList(sk5)|~ssList(app(sk1,sk5))|segmentP(sk2,sk1)|~spl0_75),
% 4.41/0.93 inference(paramodulation,[status(thm)],[f494,f1979])).
% 4.41/0.93 fof(f2171,plain,(
% 4.41/0.93 ~spl0_10|~spl0_83|spl0_4|~spl0_75),
% 4.41/0.93 inference(split_clause,[status(thm)],[f2170,f572,f2167,f455,f1961])).
% 4.41/0.93 fof(f2177,plain,(
% 4.41/0.93 ~ssList(sk2)|spl0_83),
% 4.41/0.93 inference(forward_demodulation,[status(thm)],[f494,f2169])).
% 4.41/0.93 fof(f2178,plain,(
% 4.41/0.93 $false|spl0_83),
% 4.41/0.93 inference(forward_subsumption_resolution,[status(thm)],[f2177,f429])).
% 4.41/0.93 fof(f2179,plain,(
% 4.41/0.93 spl0_83),
% 4.41/0.93 inference(contradiction_clause,[status(thm)],[f2178])).
% 4.41/0.93 fof(f2180,plain,(
% 4.41/0.93 $false),
% 4.41/0.93 inference(sat_refutation,[status(thm)],[f461,f548,f586,f588,f1571,f1965,f2171,f2179])).
% 4.41/0.93 % SZS output end CNFRefutation for theBenchmark.p
% 4.41/0.95 % Elapsed time: 0.589578 seconds
% 4.41/0.95 % CPU time: 4.511107 seconds
% 4.41/0.95 % Total memory used: 110.551 MB
% 4.41/0.95 % Net memory used: 108.110 MB
%------------------------------------------------------------------------------