TSTP Solution File: SWC097-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC097-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:39:13 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC097-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:37:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37  fof(f8,axiom,(
% 0.13/0.37    ssList(nil) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f186,negated_conjecture,(
% 0.13/0.37    ssList(sk1) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f187,negated_conjecture,(
% 0.13/0.37    ssList(sk2) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f190,negated_conjecture,(
% 0.13/0.37    sk2 = sk4 ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f191,negated_conjecture,(
% 0.13/0.37    sk1 = sk3 ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f192,negated_conjecture,(
% 0.13/0.37    ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f197,negated_conjecture,(
% 0.13/0.37    (![A]: (( ~ ssItem(A)| app(sk1,cons(A,nil)) != sk2| ~ neq(sk4,nil) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f198,negated_conjecture,(
% 0.13/0.37    ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f199,negated_conjecture,(
% 0.13/0.37    ( app(sk3,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f207,plain,(
% 0.13/0.37    ssList(nil)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37  fof(f430,plain,(
% 0.13/0.37    ssList(sk1)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.37  fof(f431,plain,(
% 0.13/0.37    ssList(sk2)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.37  fof(f434,plain,(
% 0.13/0.37    sk2=sk4),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.37  fof(f435,plain,(
% 0.13/0.37    sk1=sk3),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.37  fof(f436,plain,(
% 0.13/0.37    neq(sk2,nil)|neq(sk2,nil)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.37  fof(f442,plain,(
% 0.13/0.37    (![A]: (~ssItem(A)|~app(sk1,cons(A,nil))=sk2))|~neq(sk4,nil)),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f197])).
% 0.13/0.37  fof(f443,plain,(
% 0.13/0.37    ![X0]: (~ssItem(X0)|~app(sk1,cons(X0,nil))=sk2|~neq(sk4,nil))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f442])).
% 0.13/0.37  fof(f444,plain,(
% 0.13/0.37    ssItem(sk5)|~neq(sk4,nil)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.37  fof(f445,plain,(
% 0.13/0.37    app(sk3,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.37  fof(f453,plain,(
% 0.13/0.37    spl0_2 <=> neq(sk2,nil)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f454,plain,(
% 0.13/0.37    neq(sk2,nil)|~spl0_2),
% 0.13/0.37    inference(component_clause,[status(thm)],[f453])).
% 0.13/0.37  fof(f456,plain,(
% 0.13/0.37    spl0_2),
% 0.13/0.37    inference(split_clause,[status(thm)],[f436,f453])).
% 0.13/0.37  fof(f457,plain,(
% 0.13/0.37    spl0_3 <=> neq(sk4,nil)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f459,plain,(
% 0.13/0.37    ~neq(sk4,nil)|spl0_3),
% 0.13/0.37    inference(component_clause,[status(thm)],[f457])).
% 0.13/0.37  fof(f461,plain,(
% 0.13/0.37    spl0_4 <=> ~ssItem(X0)|~app(sk1,cons(X0,nil))=sk2),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f462,plain,(
% 0.13/0.37    ![X0]: (~ssItem(X0)|~app(sk1,cons(X0,nil))=sk2|~spl0_4)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f461])).
% 0.13/0.37  fof(f465,plain,(
% 0.13/0.37    spl0_5 <=> ssItem(sk5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f466,plain,(
% 0.13/0.37    ssItem(sk5)|~spl0_5),
% 0.13/0.37    inference(component_clause,[status(thm)],[f465])).
% 0.13/0.37  fof(f469,plain,(
% 0.13/0.37    spl0_6 <=> app(sk3,cons(sk5,nil))=sk4),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f470,plain,(
% 0.13/0.37    app(sk3,cons(sk5,nil))=sk4|~spl0_6),
% 0.13/0.37    inference(component_clause,[status(thm)],[f469])).
% 0.13/0.37  fof(f473,plain,(
% 0.13/0.37    spl0_4|~spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f443,f461,f457])).
% 0.13/0.37  fof(f474,plain,(
% 0.13/0.37    spl0_5|~spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f444,f465,f457])).
% 0.13/0.37  fof(f475,plain,(
% 0.13/0.37    spl0_6|~spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f445,f469,f457])).
% 0.13/0.37  fof(f507,plain,(
% 0.13/0.37    spl0_7 <=> ssList(nil)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f509,plain,(
% 0.13/0.37    ~ssList(nil)|spl0_7),
% 0.13/0.37    inference(component_clause,[status(thm)],[f507])).
% 0.13/0.37  fof(f517,plain,(
% 0.13/0.37    $false|spl0_7),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f509,f207])).
% 0.13/0.37  fof(f518,plain,(
% 0.13/0.37    spl0_7),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f517])).
% 0.13/0.37  fof(f519,plain,(
% 0.13/0.37    ~neq(sk2,nil)|spl0_3),
% 0.13/0.37    inference(forward_demodulation,[status(thm)],[f434,f459])).
% 0.13/0.37  fof(f531,plain,(
% 0.31/0.69    spl0_12 <=> ssList(sk2)),
% 0.31/0.69    introduced(split_symbol_definition)).
% 0.31/0.69  fof(f533,plain,(
% 0.31/0.69    ~ssList(sk2)|spl0_12),
% 0.31/0.69    inference(component_clause,[status(thm)],[f531])).
% 0.31/0.69  fof(f536,plain,(
% 0.31/0.69    $false|spl0_12),
% 0.31/0.69    inference(forward_subsumption_resolution,[status(thm)],[f533,f431])).
% 0.31/0.69  fof(f537,plain,(
% 0.31/0.69    spl0_12),
% 0.31/0.69    inference(contradiction_clause,[status(thm)],[f536])).
% 0.31/0.69  fof(f538,plain,(
% 0.31/0.69    app(sk1,cons(sk5,nil))=sk4|~spl0_6),
% 0.31/0.69    inference(forward_demodulation,[status(thm)],[f435,f470])).
% 0.31/0.69  fof(f539,plain,(
% 0.31/0.69    app(sk1,cons(sk5,nil))=sk2|~spl0_6),
% 0.31/0.69    inference(forward_demodulation,[status(thm)],[f434,f538])).
% 0.31/0.69  fof(f544,plain,(
% 0.31/0.69    spl0_14 <=> ssList(sk1)),
% 0.31/0.69    introduced(split_symbol_definition)).
% 0.31/0.69  fof(f546,plain,(
% 0.31/0.69    ~ssList(sk1)|spl0_14),
% 0.31/0.69    inference(component_clause,[status(thm)],[f544])).
% 0.31/0.69  fof(f554,plain,(
% 0.31/0.69    $false|spl0_14),
% 0.31/0.69    inference(forward_subsumption_resolution,[status(thm)],[f546,f430])).
% 0.31/0.69  fof(f555,plain,(
% 0.31/0.69    spl0_14),
% 0.31/0.69    inference(contradiction_clause,[status(thm)],[f554])).
% 0.31/0.69  fof(f556,plain,(
% 0.31/0.69    ~ssItem(sk5)|~spl0_4|~spl0_6),
% 0.31/0.69    inference(resolution,[status(thm)],[f462,f539])).
% 0.31/0.69  fof(f557,plain,(
% 0.31/0.69    $false|~spl0_5|~spl0_4|~spl0_6),
% 0.31/0.69    inference(forward_subsumption_resolution,[status(thm)],[f556,f466])).
% 0.31/0.69  fof(f558,plain,(
% 0.31/0.69    ~spl0_5|~spl0_4|~spl0_6),
% 0.31/0.69    inference(contradiction_clause,[status(thm)],[f557])).
% 0.31/0.69  fof(f559,plain,(
% 0.31/0.69    $false|~spl0_2|spl0_3),
% 0.31/0.69    inference(forward_subsumption_resolution,[status(thm)],[f519,f454])).
% 0.31/0.69  fof(f560,plain,(
% 0.31/0.69    ~spl0_2|spl0_3),
% 0.31/0.69    inference(contradiction_clause,[status(thm)],[f559])).
% 0.31/0.69  fof(f561,plain,(
% 0.31/0.69    $false),
% 0.31/0.69    inference(sat_refutation,[status(thm)],[f456,f473,f474,f475,f518,f537,f555,f558,f560])).
% 0.31/0.69  % SZS output end CNFRefutation for theBenchmark.p
% 0.31/0.69  % Elapsed time: 0.127167 seconds
% 0.31/0.69  % CPU time: 0.033503 seconds
% 0.31/0.69  % Memory used: 4.056 MB
%------------------------------------------------------------------------------