TSTP Solution File: SWC371-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n010.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 12:40:14 EDT 2023
% Result : Unsatisfiable 6.12s 1.19s
% Output : CNFRefutation 6.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC371-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:13:22 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 6.12/1.19 % Refutation found
% 6.12/1.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.12/1.19 % SZS output start CNFRefutation for theBenchmark
% 6.12/1.19 fof(f8,axiom,(
% 6.12/1.19 ssList(nil) ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f73,axiom,(
% 6.12/1.19 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f74,axiom,(
% 6.12/1.19 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f85,axiom,(
% 6.12/1.19 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f173,axiom,(
% 6.12/1.19 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f186,negated_conjecture,(
% 6.12/1.19 ssList(sk1) ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f190,negated_conjecture,(
% 6.12/1.19 sk2 = sk4 ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f191,negated_conjecture,(
% 6.12/1.19 sk1 = sk3 ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f192,negated_conjecture,(
% 6.12/1.19 ssList(sk5) ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f193,negated_conjecture,(
% 6.12/1.19 app(sk3,sk5) = sk4 ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f196,negated_conjecture,(
% 6.12/1.19 ~ segmentP(sk2,sk1) ),
% 6.12/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.12/1.19 fof(f205,plain,(
% 6.12/1.19 ssList(nil)),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f8])).
% 6.12/1.19 fof(f271,plain,(
% 6.12/1.19 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f73])).
% 6.12/1.19 fof(f272,plain,(
% 6.12/1.19 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f74])).
% 6.12/1.19 fof(f283,plain,(
% 6.12/1.19 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f85])).
% 6.12/1.19 fof(f403,plain,(
% 6.12/1.19 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 6.12/1.19 inference(miniscoping,[status(esa)],[f173])).
% 6.12/1.19 fof(f404,plain,(
% 6.12/1.19 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f403])).
% 6.12/1.19 fof(f428,plain,(
% 6.12/1.19 ssList(sk1)),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f186])).
% 6.12/1.19 fof(f432,plain,(
% 6.12/1.19 sk2=sk4),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f190])).
% 6.12/1.19 fof(f433,plain,(
% 6.12/1.19 sk1=sk3),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f191])).
% 6.12/1.19 fof(f434,plain,(
% 6.12/1.19 ssList(sk5)),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f192])).
% 6.12/1.19 fof(f435,plain,(
% 6.12/1.19 app(sk3,sk5)=sk4),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f193])).
% 6.12/1.19 fof(f439,plain,(
% 6.12/1.19 ~segmentP(sk2,sk1)),
% 6.12/1.19 inference(cnf_transformation,[status(esa)],[f196])).
% 6.12/1.19 fof(f473,plain,(
% 6.12/1.19 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 6.12/1.19 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 6.12/1.19 fof(f487,plain,(
% 6.12/1.19 app(sk1,sk5)=sk4),
% 6.12/1.19 inference(forward_demodulation,[status(thm)],[f433,f435])).
% 6.12/1.19 fof(f488,plain,(
% 6.12/1.19 app(sk1,sk5)=sk2),
% 6.12/1.19 inference(forward_demodulation,[status(thm)],[f432,f487])).
% 6.12/1.19 fof(f489,plain,(
% 6.12/1.19 app(sk5,nil)=sk5),
% 6.12/1.19 inference(resolution,[status(thm)],[f271,f434])).
% 6.12/1.19 fof(f492,plain,(
% 6.12/1.19 app(sk1,nil)=sk1),
% 6.12/1.19 inference(resolution,[status(thm)],[f271,f428])).
% 6.12/1.19 fof(f496,plain,(
% 6.12/1.19 app(nil,sk1)=sk1),
% 6.12/1.19 inference(resolution,[status(thm)],[f272,f428])).
% 6.12/1.19 fof(f503,plain,(
% 6.12/1.19 spl0_4 <=> ssList(nil)),
% 6.12/1.19 introduced(split_symbol_definition)).
% 6.12/1.19 fof(f505,plain,(
% 6.12/1.19 ~ssList(nil)|spl0_4),
% 6.12/1.19 inference(component_clause,[status(thm)],[f503])).
% 6.12/1.19 fof(f513,plain,(
% 6.12/1.19 $false|spl0_4),
% 6.12/1.19 inference(forward_subsumption_resolution,[status(thm)],[f505,f205])).
% 6.12/1.19 fof(f514,plain,(
% 6.12/1.19 spl0_4),
% 6.12/1.19 inference(contradiction_clause,[status(thm)],[f513])).
% 6.12/1.19 fof(f515,plain,(
% 6.12/1.19 ![X0]: (~ssList(X0)|ssList(app(sk5,X0)))),
% 6.12/1.19 inference(resolution,[status(thm)],[f283,f434])).
% 6.12/1.19 fof(f518,plain,(
% 6.12/1.19 ![X0]: (~ssList(X0)|ssList(app(sk1,X0)))),
% 6.12/1.19 inference(resolution,[status(thm)],[f283,f428])).
% 6.12/1.19 fof(f589,plain,(
% 6.12/1.20 spl0_9 <=> ssList(sk1)),
% 6.12/1.20 introduced(split_symbol_definition)).
% 6.12/1.20 fof(f592,plain,(
% 6.12/1.20 ~ssList(nil)|ssList(sk1)),
% 6.12/1.20 inference(paramodulation,[status(thm)],[f492,f518])).
% 6.12/1.20 fof(f593,plain,(
% 6.12/1.20 ~spl0_4|spl0_9),
% 6.12/1.20 inference(split_clause,[status(thm)],[f592,f503,f589])).
% 6.12/1.20 fof(f594,plain,(
% 6.12/1.20 spl0_10 <=> ssList(sk5)),
% 6.12/1.20 introduced(split_symbol_definition)).
% 6.12/1.20 fof(f1040,plain,(
% 6.12/1.20 ~ssList(nil)|ssList(sk5)),
% 6.12/1.20 inference(paramodulation,[status(thm)],[f489,f515])).
% 6.12/1.20 fof(f1041,plain,(
% 6.12/1.20 ~spl0_4|spl0_10),
% 6.12/1.20 inference(split_clause,[status(thm)],[f1040,f503,f594])).
% 6.12/1.20 fof(f4057,plain,(
% 6.12/1.20 spl0_202 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 6.12/1.20 introduced(split_symbol_definition)).
% 6.12/1.20 fof(f4058,plain,(
% 6.12/1.20 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_202)),
% 6.12/1.20 inference(component_clause,[status(thm)],[f4057])).
% 6.12/1.20 fof(f4060,plain,(
% 6.12/1.20 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 6.12/1.20 inference(paramodulation,[status(thm)],[f496,f473])).
% 6.12/1.20 fof(f4061,plain,(
% 6.12/1.20 spl0_202|~spl0_4|~spl0_9),
% 6.12/1.20 inference(split_clause,[status(thm)],[f4060,f4057,f503,f589])).
% 6.12/1.20 fof(f4081,plain,(
% 6.12/1.20 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_202)),
% 6.12/1.20 inference(forward_demodulation,[status(thm)],[f496,f4058])).
% 6.12/1.20 fof(f4082,plain,(
% 6.12/1.20 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~spl0_202)),
% 6.12/1.20 inference(forward_subsumption_resolution,[status(thm)],[f4081,f518])).
% 6.12/1.20 fof(f4323,plain,(
% 6.12/1.20 spl0_229 <=> segmentP(sk2,sk1)),
% 6.12/1.20 introduced(split_symbol_definition)).
% 6.12/1.20 fof(f4324,plain,(
% 6.12/1.20 segmentP(sk2,sk1)|~spl0_229),
% 6.12/1.20 inference(component_clause,[status(thm)],[f4323])).
% 6.12/1.20 fof(f4326,plain,(
% 6.12/1.20 ~ssList(sk5)|segmentP(sk2,sk1)|~spl0_202),
% 6.12/1.20 inference(paramodulation,[status(thm)],[f488,f4082])).
% 6.12/1.20 fof(f4327,plain,(
% 6.12/1.20 ~spl0_10|spl0_229|~spl0_202),
% 6.12/1.20 inference(split_clause,[status(thm)],[f4326,f594,f4323,f4057])).
% 6.12/1.20 fof(f4331,plain,(
% 6.12/1.20 $false|~spl0_229),
% 6.12/1.20 inference(forward_subsumption_resolution,[status(thm)],[f4324,f439])).
% 6.12/1.20 fof(f4332,plain,(
% 6.12/1.20 ~spl0_229),
% 6.12/1.20 inference(contradiction_clause,[status(thm)],[f4331])).
% 6.12/1.20 fof(f4333,plain,(
% 6.12/1.20 $false),
% 6.12/1.20 inference(sat_refutation,[status(thm)],[f514,f593,f1041,f4061,f4327,f4332])).
% 6.12/1.20 % SZS output end CNFRefutation for theBenchmark.p
% 6.12/1.20 % Elapsed time: 0.903171 seconds
% 6.12/1.20 % CPU time: 6.397983 seconds
% 6.12/1.20 % Memory used: 107.180 MB
%------------------------------------------------------------------------------