TSTP Solution File: SWC371-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC371-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:45:32 EDT 2024
% Result : Unsatisfiable 11.61s 1.85s
% Output : CNFRefutation 12.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC371-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:27:39 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 11.61/1.85 % Refutation found
% 11.61/1.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.61/1.85 % SZS output start CNFRefutation for theBenchmark
% 11.61/1.85 fof(f8,axiom,(
% 11.61/1.85 ssList(nil) ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f57,axiom,(
% 11.61/1.85 (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f73,axiom,(
% 11.61/1.85 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f74,axiom,(
% 11.61/1.85 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f85,axiom,(
% 11.61/1.85 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f172,axiom,(
% 11.61/1.85 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f186,negated_conjecture,(
% 11.61/1.85 ssList(sk1) ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f190,negated_conjecture,(
% 11.61/1.85 sk2 = sk4 ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f191,negated_conjecture,(
% 11.61/1.85 sk1 = sk3 ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f192,negated_conjecture,(
% 11.61/1.85 ssList(sk5) ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f193,negated_conjecture,(
% 11.61/1.85 app(sk3,sk5) = sk4 ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f196,negated_conjecture,(
% 11.61/1.85 ~ segmentP(sk2,sk1) ),
% 11.61/1.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.61/1.85 fof(f205,plain,(
% 11.61/1.85 ssList(nil)),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f8])).
% 11.61/1.85 fof(f254,plain,(
% 11.61/1.85 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f57])).
% 11.61/1.85 fof(f271,plain,(
% 11.61/1.85 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f73])).
% 11.61/1.85 fof(f272,plain,(
% 11.61/1.85 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f74])).
% 11.61/1.85 fof(f283,plain,(
% 11.61/1.85 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f85])).
% 11.61/1.85 fof(f402,plain,(
% 11.61/1.85 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f172])).
% 11.61/1.85 fof(f428,plain,(
% 11.61/1.85 ssList(sk1)),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f186])).
% 11.61/1.85 fof(f432,plain,(
% 11.61/1.85 sk2=sk4),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f190])).
% 11.61/1.85 fof(f433,plain,(
% 11.61/1.85 sk1=sk3),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f191])).
% 11.61/1.85 fof(f434,plain,(
% 11.61/1.85 ssList(sk5)),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f192])).
% 11.61/1.85 fof(f435,plain,(
% 11.61/1.85 app(sk3,sk5)=sk4),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f193])).
% 11.61/1.85 fof(f439,plain,(
% 11.61/1.85 ~segmentP(sk2,sk1)),
% 11.61/1.85 inference(cnf_transformation,[status(esa)],[f196])).
% 11.61/1.85 fof(f467,plain,(
% 11.61/1.85 app(sk1,sk5)=sk4),
% 11.61/1.85 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 11.61/1.85 fof(f468,plain,(
% 11.61/1.85 app(sk1,sk5)=sk2),
% 11.61/1.85 inference(forward_demodulation,[status(thm)],[f432,f467])).
% 11.61/1.85 fof(f476,plain,(
% 11.61/1.85 app(sk5,nil)=sk5),
% 11.61/1.85 inference(resolution,[status(thm)],[f271,f434])).
% 11.61/1.85 fof(f478,plain,(
% 11.61/1.85 app(sk1,nil)=sk1),
% 11.61/1.85 inference(resolution,[status(thm)],[f271,f428])).
% 11.61/1.85 fof(f482,plain,(
% 11.61/1.85 app(nil,sk1)=sk1),
% 11.61/1.85 inference(resolution,[status(thm)],[f272,f428])).
% 11.61/1.85 fof(f483,plain,(
% 11.61/1.85 spl0_4 <=> ssList(nil)),
% 11.61/1.85 introduced(split_symbol_definition)).
% 11.61/1.85 fof(f485,plain,(
% 11.61/1.85 ~ssList(nil)|spl0_4),
% 11.61/1.85 inference(component_clause,[status(thm)],[f483])).
% 11.61/1.85 fof(f491,plain,(
% 11.61/1.85 $false|spl0_4),
% 11.61/1.85 inference(forward_subsumption_resolution,[status(thm)],[f485,f205])).
% 11.61/1.85 fof(f492,plain,(
% 11.61/1.85 spl0_4),
% 11.61/1.85 inference(contradiction_clause,[status(thm)],[f491])).
% 11.61/1.85 fof(f494,plain,(
% 11.61/1.85 ![X0]: (~ssList(X0)|ssList(app(sk5,X0)))),
% 11.61/1.85 inference(resolution,[status(thm)],[f283,f434])).
% 11.61/1.85 fof(f496,plain,(
% 11.61/1.85 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 11.61/1.85 inference(resolution,[status(thm)],[f283,f428])).
% 11.61/1.85 fof(f500,plain,(
% 11.61/1.85 spl0_6 <=> ssList(sk5)),
% 11.61/1.85 introduced(split_symbol_definition)).
% 11.61/1.85 fof(f503,plain,(
% 11.61/1.85 ~ssList(nil)|ssList(sk5)),
% 11.61/1.85 inference(paramodulation,[status(thm)],[f476,f494])).
% 12.17/1.87 fof(f504,plain,(
% 12.17/1.87 ~spl0_4|spl0_6),
% 12.17/1.87 inference(split_clause,[status(thm)],[f503,f483,f500])).
% 12.17/1.87 fof(f548,plain,(
% 12.17/1.87 spl0_12 <=> ssList(sk1)),
% 12.17/1.87 introduced(split_symbol_definition)).
% 12.17/1.87 fof(f551,plain,(
% 12.17/1.87 ~ssList(nil)|ssList(sk1)),
% 12.17/1.87 inference(paramodulation,[status(thm)],[f478,f496])).
% 12.17/1.87 fof(f552,plain,(
% 12.17/1.87 ~spl0_4|spl0_12),
% 12.17/1.87 inference(split_clause,[status(thm)],[f551,f483,f548])).
% 12.17/1.87 fof(f1188,plain,(
% 12.17/1.87 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2)|~ssList(X2))),
% 12.17/1.87 inference(resolution,[status(thm)],[f402,f254])).
% 12.17/1.87 fof(f1189,plain,(
% 12.17/1.87 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 12.17/1.87 inference(duplicate_literals_removal,[status(esa)],[f1188])).
% 12.17/1.87 fof(f1225,plain,(
% 12.17/1.87 spl0_52 <=> ~ssList(X0)|segmentP(app(sk1,X0),sk1)),
% 12.17/1.87 introduced(split_symbol_definition)).
% 12.17/1.87 fof(f1226,plain,(
% 12.17/1.87 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~spl0_52)),
% 12.17/1.87 inference(component_clause,[status(thm)],[f1225])).
% 12.17/1.87 fof(f1228,plain,(
% 12.17/1.87 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|segmentP(app(sk1,X0),sk1))),
% 12.17/1.87 inference(paramodulation,[status(thm)],[f482,f1189])).
% 12.17/1.87 fof(f1229,plain,(
% 12.17/1.87 spl0_52|~spl0_4|~spl0_12),
% 12.17/1.87 inference(split_clause,[status(thm)],[f1228,f1225,f483,f548])).
% 12.17/1.87 fof(f1396,plain,(
% 12.17/1.87 spl0_85 <=> segmentP(sk2,sk1)),
% 12.17/1.87 introduced(split_symbol_definition)).
% 12.17/1.87 fof(f1397,plain,(
% 12.17/1.87 segmentP(sk2,sk1)|~spl0_85),
% 12.17/1.87 inference(component_clause,[status(thm)],[f1396])).
% 12.17/1.87 fof(f1399,plain,(
% 12.17/1.87 ~ssList(sk5)|segmentP(sk2,sk1)|~spl0_52),
% 12.17/1.87 inference(paramodulation,[status(thm)],[f468,f1226])).
% 12.17/1.87 fof(f1400,plain,(
% 12.17/1.87 ~spl0_6|spl0_85|~spl0_52),
% 12.17/1.87 inference(split_clause,[status(thm)],[f1399,f500,f1396,f1225])).
% 12.17/1.87 fof(f1403,plain,(
% 12.17/1.87 $false|~spl0_85),
% 12.17/1.87 inference(forward_subsumption_resolution,[status(thm)],[f1397,f439])).
% 12.17/1.87 fof(f1404,plain,(
% 12.17/1.87 ~spl0_85),
% 12.17/1.87 inference(contradiction_clause,[status(thm)],[f1403])).
% 12.17/1.87 fof(f1405,plain,(
% 12.17/1.87 $false),
% 12.17/1.87 inference(sat_refutation,[status(thm)],[f492,f504,f552,f1229,f1400,f1404])).
% 12.17/1.87 % SZS output end CNFRefutation for theBenchmark.p
% 12.17/1.90 % Elapsed time: 1.575566 seconds
% 12.17/1.90 % CPU time: 12.289144 seconds
% 12.17/1.90 % Total memory used: 150.328 MB
% 12.17/1.90 % Net memory used: 146.954 MB
%------------------------------------------------------------------------------