TSTP Solution File: SWC007-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:44:07 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:37:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.42 fof(f73,axiom,(
% 0.20/0.42 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f74,axiom,(
% 0.20/0.42 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f187,negated_conjecture,(
% 0.20/0.42 ssList(sk2) ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f188,negated_conjecture,(
% 0.20/0.42 ssList(sk3) ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f190,negated_conjecture,(
% 0.20/0.42 nil = sk3 ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f192,negated_conjecture,(
% 0.20/0.42 sk1 = sk3 ),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f193,negated_conjecture,(
% 0.20/0.42 (![A,B,C]: (( ~ ssList(A)| ~ ssList(B)| ~ ssList(C)| app(app(A,B),C) != sk2| app(A,C) != sk1 ) ))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f267,plain,(
% 0.20/0.42 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f73])).
% 0.20/0.42 fof(f268,plain,(
% 0.20/0.42 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.20/0.42 fof(f425,plain,(
% 0.20/0.42 ssList(sk2)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f187])).
% 0.20/0.42 fof(f426,plain,(
% 0.20/0.42 ssList(sk3)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f188])).
% 0.20/0.42 fof(f428,plain,(
% 0.20/0.42 nil=sk3),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.42 fof(f430,plain,(
% 0.20/0.42 sk1=sk3),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.42 fof(f431,plain,(
% 0.20/0.42 ![A,C]: ((![B]: (((~ssList(A)|~ssList(B))|~ssList(C))|~app(app(A,B),C)=sk2))|~app(A,C)=sk1)),
% 0.20/0.42 inference(miniscoping,[status(esa)],[f193])).
% 0.20/0.42 fof(f432,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=sk1)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f431])).
% 0.20/0.42 fof(f469,plain,(
% 0.20/0.42 ssList(nil)),
% 0.20/0.42 inference(backward_demodulation,[status(thm)],[f428,f426])).
% 0.20/0.42 fof(f471,plain,(
% 0.20/0.42 sk1=nil),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f428,f430])).
% 0.20/0.42 fof(f473,plain,(
% 0.20/0.42 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sk2|~app(X0,X2)=nil)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f471,f432])).
% 0.20/0.42 fof(f474,plain,(
% 0.20/0.42 app(nil,nil)=nil),
% 0.20/0.42 inference(resolution,[status(thm)],[f267,f469])).
% 0.20/0.42 fof(f475,plain,(
% 0.20/0.42 app(sk2,nil)=sk2),
% 0.20/0.42 inference(resolution,[status(thm)],[f267,f425])).
% 0.20/0.42 fof(f476,plain,(
% 0.20/0.42 spl0_2 <=> ssList(nil)),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f478,plain,(
% 0.20/0.42 ~ssList(nil)|spl0_2),
% 0.20/0.42 inference(component_clause,[status(thm)],[f476])).
% 0.20/0.42 fof(f479,plain,(
% 0.20/0.42 spl0_3 <=> ~ssList(X0)|~app(app(nil,X0),nil)=sk2),
% 0.20/0.42 introduced(split_symbol_definition)).
% 0.20/0.42 fof(f480,plain,(
% 0.20/0.42 ![X0]: (~ssList(X0)|~app(app(nil,X0),nil)=sk2|~spl0_3)),
% 0.20/0.42 inference(component_clause,[status(thm)],[f479])).
% 0.20/0.42 fof(f482,plain,(
% 0.20/0.42 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(nil)|~app(app(nil,X0),nil)=sk2)),
% 0.20/0.42 inference(resolution,[status(thm)],[f474,f473])).
% 0.20/0.42 fof(f483,plain,(
% 0.20/0.42 ~spl0_2|spl0_3),
% 0.20/0.42 inference(split_clause,[status(thm)],[f482,f476,f479])).
% 0.20/0.42 fof(f489,plain,(
% 0.20/0.42 $false|spl0_2),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f478,f469])).
% 0.20/0.42 fof(f490,plain,(
% 0.20/0.42 spl0_2),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f489])).
% 0.20/0.42 fof(f504,plain,(
% 0.20/0.42 ~app(app(nil,sk2),nil)=sk2|~spl0_3),
% 0.20/0.42 inference(resolution,[status(thm)],[f480,f425])).
% 0.20/0.42 fof(f506,plain,(
% 0.20/0.42 app(nil,sk2)=sk2),
% 0.20/0.42 inference(resolution,[status(thm)],[f268,f425])).
% 0.20/0.42 fof(f507,plain,(
% 0.20/0.42 ~app(sk2,nil)=sk2|~spl0_3),
% 0.20/0.42 inference(backward_demodulation,[status(thm)],[f506,f504])).
% 0.20/0.42 fof(f508,plain,(
% 0.20/0.42 ~sk2=sk2|~spl0_3),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f475,f507])).
% 0.20/0.42 fof(f509,plain,(
% 0.20/0.42 $false|~spl0_3),
% 0.20/0.42 inference(trivial_equality_resolution,[status(esa)],[f508])).
% 0.20/0.42 fof(f510,plain,(
% 0.20/0.42 ~spl0_3),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f509])).
% 0.20/0.42 fof(f511,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(sat_refutation,[status(thm)],[f483,f490,f510])).
% 0.20/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.43 % Elapsed time: 0.078668 seconds
% 0.20/0.43 % CPU time: 0.471595 seconds
% 0.20/0.43 % Total memory used: 68.840 MB
% 0.20/0.43 % Net memory used: 68.471 MB
%------------------------------------------------------------------------------