TSTP Solution File: SWC050-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC050-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 20:44:19 EDT 2024

% Result   : Unsatisfiable 0.10s 0.34s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWC050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Apr 30 00:04:11 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.10/0.33  % Drodi V3.6.0
% 0.10/0.34  % Refutation found
% 0.10/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34  fof(f8,axiom,(
% 0.10/0.34    ssList(nil) ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f190,negated_conjecture,(
% 0.10/0.34    sk2 = sk4 ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f191,negated_conjecture,(
% 0.10/0.34    sk1 = sk3 ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f192,negated_conjecture,(
% 0.10/0.34    ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f199,negated_conjecture,(
% 0.10/0.34    (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ rearsegP(sk2,A)| ~ rearsegP(sk1,A)| ~ neq(sk4,nil) ) ))),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f200,negated_conjecture,(
% 0.10/0.34    ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f201,negated_conjecture,(
% 0.10/0.34    ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f202,negated_conjecture,(
% 0.10/0.34    ( rearsegP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f203,negated_conjecture,(
% 0.10/0.34    ( rearsegP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 0.10/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34  fof(f211,plain,(
% 0.10/0.34    ssList(nil)),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.34  fof(f438,plain,(
% 0.10/0.34    sk2=sk4),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f190])).
% 0.10/0.34  fof(f439,plain,(
% 0.10/0.34    sk1=sk3),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f191])).
% 0.10/0.34  fof(f440,plain,(
% 0.10/0.34    neq(sk2,nil)|neq(sk2,nil)),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f192])).
% 0.10/0.34  fof(f448,plain,(
% 0.10/0.34    (![A]: (((~ssList(A)|~neq(A,nil))|~rearsegP(sk2,A))|~rearsegP(sk1,A)))|~neq(sk4,nil)),
% 0.10/0.34    inference(miniscoping,[status(esa)],[f199])).
% 0.10/0.34  fof(f449,plain,(
% 0.10/0.34    ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)|~neq(sk4,nil))),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f448])).
% 0.10/0.34  fof(f450,plain,(
% 0.10/0.34    ssList(sk5)|~neq(sk4,nil)),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f200])).
% 0.10/0.34  fof(f451,plain,(
% 0.10/0.34    neq(sk5,nil)|~neq(sk4,nil)),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f201])).
% 0.10/0.34  fof(f452,plain,(
% 0.10/0.34    rearsegP(sk4,sk5)|~neq(sk4,nil)),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f202])).
% 0.10/0.34  fof(f453,plain,(
% 0.10/0.34    rearsegP(sk3,sk5)|~neq(sk4,nil)),
% 0.10/0.34    inference(cnf_transformation,[status(esa)],[f203])).
% 0.10/0.34  fof(f461,plain,(
% 0.10/0.34    spl0_2 <=> neq(sk2,nil)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f462,plain,(
% 0.10/0.34    neq(sk2,nil)|~spl0_2),
% 0.10/0.34    inference(component_clause,[status(thm)],[f461])).
% 0.10/0.34  fof(f464,plain,(
% 0.10/0.34    spl0_2),
% 0.10/0.34    inference(split_clause,[status(thm)],[f440,f461])).
% 0.10/0.34  fof(f465,plain,(
% 0.10/0.34    spl0_3 <=> neq(sk4,nil)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f467,plain,(
% 0.10/0.34    ~neq(sk4,nil)|spl0_3),
% 0.10/0.34    inference(component_clause,[status(thm)],[f465])).
% 0.10/0.34  fof(f469,plain,(
% 0.10/0.34    spl0_4 <=> ~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f470,plain,(
% 0.10/0.34    ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sk2,X0)|~rearsegP(sk1,X0)|~spl0_4)),
% 0.10/0.34    inference(component_clause,[status(thm)],[f469])).
% 0.10/0.34  fof(f473,plain,(
% 0.10/0.34    spl0_5 <=> ssList(sk5)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f477,plain,(
% 0.10/0.34    spl0_6 <=> neq(sk5,nil)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f478,plain,(
% 0.10/0.34    neq(sk5,nil)|~spl0_6),
% 0.10/0.34    inference(component_clause,[status(thm)],[f477])).
% 0.10/0.34  fof(f481,plain,(
% 0.10/0.34    spl0_7 <=> rearsegP(sk4,sk5)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f482,plain,(
% 0.10/0.34    rearsegP(sk4,sk5)|~spl0_7),
% 0.10/0.34    inference(component_clause,[status(thm)],[f481])).
% 0.10/0.34  fof(f485,plain,(
% 0.10/0.34    spl0_8 <=> rearsegP(sk3,sk5)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f486,plain,(
% 0.10/0.34    rearsegP(sk3,sk5)|~spl0_8),
% 0.10/0.34    inference(component_clause,[status(thm)],[f485])).
% 0.10/0.34  fof(f489,plain,(
% 0.10/0.34    spl0_4|~spl0_3),
% 0.10/0.34    inference(split_clause,[status(thm)],[f449,f469,f465])).
% 0.10/0.34  fof(f490,plain,(
% 0.10/0.34    spl0_5|~spl0_3),
% 0.10/0.34    inference(split_clause,[status(thm)],[f450,f473,f465])).
% 0.10/0.34  fof(f491,plain,(
% 0.10/0.34    spl0_6|~spl0_3),
% 0.10/0.34    inference(split_clause,[status(thm)],[f451,f477,f465])).
% 0.10/0.34  fof(f492,plain,(
% 0.10/0.34    spl0_7|~spl0_3),
% 0.10/0.34    inference(split_clause,[status(thm)],[f452,f481,f465])).
% 0.10/0.34  fof(f493,plain,(
% 0.10/0.34    spl0_8|~spl0_3),
% 0.10/0.34    inference(split_clause,[status(thm)],[f453,f485,f465])).
% 0.10/0.34  fof(f531,plain,(
% 0.10/0.34    spl0_9 <=> ssList(nil)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f533,plain,(
% 0.10/0.34    ~ssList(nil)|spl0_9),
% 0.10/0.34    inference(component_clause,[status(thm)],[f531])).
% 0.10/0.34  fof(f539,plain,(
% 0.10/0.34    $false|spl0_9),
% 0.10/0.34    inference(forward_subsumption_resolution,[status(thm)],[f533,f211])).
% 0.10/0.34  fof(f540,plain,(
% 0.10/0.34    spl0_9),
% 0.10/0.34    inference(contradiction_clause,[status(thm)],[f539])).
% 0.10/0.34  fof(f549,plain,(
% 0.10/0.34    ~neq(sk2,nil)|spl0_3),
% 0.10/0.34    inference(forward_demodulation,[status(thm)],[f438,f467])).
% 0.10/0.34  fof(f550,plain,(
% 0.10/0.34    $false|spl0_3|~spl0_2),
% 0.10/0.34    inference(forward_subsumption_resolution,[status(thm)],[f462,f549])).
% 0.10/0.34  fof(f551,plain,(
% 0.10/0.34    spl0_3|~spl0_2),
% 0.10/0.34    inference(contradiction_clause,[status(thm)],[f550])).
% 0.10/0.34  fof(f552,plain,(
% 0.10/0.34    rearsegP(sk2,sk5)|~spl0_7),
% 0.10/0.34    inference(forward_demodulation,[status(thm)],[f438,f482])).
% 0.10/0.34  fof(f553,plain,(
% 0.10/0.34    rearsegP(sk1,sk5)|~spl0_8),
% 0.10/0.34    inference(forward_demodulation,[status(thm)],[f439,f486])).
% 0.10/0.34  fof(f557,plain,(
% 0.10/0.34    spl0_11 <=> rearsegP(sk2,sk5)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f559,plain,(
% 0.10/0.34    ~rearsegP(sk2,sk5)|spl0_11),
% 0.10/0.34    inference(component_clause,[status(thm)],[f557])).
% 0.10/0.34  fof(f560,plain,(
% 0.10/0.34    spl0_12 <=> rearsegP(sk1,sk5)),
% 0.10/0.34    introduced(split_symbol_definition)).
% 0.10/0.34  fof(f562,plain,(
% 0.10/0.34    ~rearsegP(sk1,sk5)|spl0_12),
% 0.10/0.34    inference(component_clause,[status(thm)],[f560])).
% 0.10/0.34  fof(f563,plain,(
% 0.10/0.34    ~ssList(sk5)|~rearsegP(sk2,sk5)|~rearsegP(sk1,sk5)|~spl0_4|~spl0_6),
% 0.10/0.34    inference(resolution,[status(thm)],[f470,f478])).
% 0.10/0.34  fof(f564,plain,(
% 0.10/0.34    ~spl0_5|~spl0_11|~spl0_12|~spl0_4|~spl0_6),
% 0.10/0.34    inference(split_clause,[status(thm)],[f563,f473,f557,f560,f469,f477])).
% 0.10/0.34  fof(f565,plain,(
% 0.10/0.34    $false|~spl0_7|spl0_11),
% 0.10/0.34    inference(forward_subsumption_resolution,[status(thm)],[f559,f552])).
% 0.10/0.34  fof(f566,plain,(
% 0.10/0.34    ~spl0_7|spl0_11),
% 0.10/0.34    inference(contradiction_clause,[status(thm)],[f565])).
% 0.10/0.34  fof(f578,plain,(
% 0.10/0.34    $false|~spl0_8|spl0_12),
% 0.10/0.34    inference(forward_subsumption_resolution,[status(thm)],[f562,f553])).
% 0.10/0.34  fof(f579,plain,(
% 0.10/0.34    ~spl0_8|spl0_12),
% 0.10/0.34    inference(contradiction_clause,[status(thm)],[f578])).
% 0.10/0.34  fof(f580,plain,(
% 0.10/0.34    $false),
% 0.10/0.34    inference(sat_refutation,[status(thm)],[f464,f489,f490,f491,f492,f493,f540,f551,f564,f566,f579])).
% 0.10/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.36  % Elapsed time: 0.026266 seconds
% 0.16/0.36  % CPU time: 0.033871 seconds
% 0.16/0.36  % Total memory used: 14.384 MB
% 0.16/0.36  % Net memory used: 14.358 MB
%------------------------------------------------------------------------------