TSTP Solution File: SWC012-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC012-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:44:09 EDT 2024

% Result   : Unsatisfiable 0.09s 0.33s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWC012-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n009.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Tue Apr 30 00:00:56 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.09/0.33  % Drodi V3.6.0
% 0.09/0.33  % Refutation found
% 0.09/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.33  fof(f8,axiom,(
% 0.09/0.33    ssList(nil) ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f73,axiom,(
% 0.09/0.33    (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f186,negated_conjecture,(
% 0.09/0.33    ssList(sk1) ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f187,negated_conjecture,(
% 0.09/0.33    ssList(sk2) ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f190,negated_conjecture,(
% 0.09/0.33    sk2 = sk4 ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f191,negated_conjecture,(
% 0.09/0.33    sk1 = sk3 ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f192,negated_conjecture,(
% 0.09/0.33    ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f197,negated_conjecture,(
% 0.09/0.33    (![A,B,C]: (( ~ ssItem(A)| ~ ssList(B)| ~ ssList(C)| app(app(B,cons(A,nil)),C) != sk2| app(B,C) != sk1| ~ neq(sk4,nil) ) ))),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f198,negated_conjecture,(
% 0.09/0.33    ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f199,negated_conjecture,(
% 0.09/0.33    ( app(sk3,cons(sk5,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.09/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33  fof(f207,plain,(
% 0.09/0.33    ssList(nil)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.33  fof(f273,plain,(
% 0.09/0.33    ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f73])).
% 0.09/0.33  fof(f430,plain,(
% 0.09/0.33    ssList(sk1)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f186])).
% 0.09/0.33  fof(f431,plain,(
% 0.09/0.33    ssList(sk2)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f187])).
% 0.09/0.33  fof(f434,plain,(
% 0.09/0.33    sk2=sk4),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f190])).
% 0.09/0.33  fof(f435,plain,(
% 0.09/0.33    sk1=sk3),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f191])).
% 0.09/0.33  fof(f436,plain,(
% 0.09/0.33    neq(sk2,nil)|neq(sk2,nil)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f192])).
% 0.09/0.33  fof(f442,plain,(
% 0.09/0.33    (![B,C]: ((![A]: (((~ssItem(A)|~ssList(B))|~ssList(C))|~app(app(B,cons(A,nil)),C)=sk2))|~app(B,C)=sk1))|~neq(sk4,nil)),
% 0.09/0.33    inference(miniscoping,[status(esa)],[f197])).
% 0.09/0.33  fof(f443,plain,(
% 0.09/0.33    ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~neq(sk4,nil))),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f442])).
% 0.09/0.33  fof(f444,plain,(
% 0.09/0.33    ssItem(sk5)|~neq(sk4,nil)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f198])).
% 0.09/0.33  fof(f445,plain,(
% 0.09/0.33    app(sk3,cons(sk5,nil))=sk4|~neq(sk4,nil)),
% 0.09/0.33    inference(cnf_transformation,[status(esa)],[f199])).
% 0.09/0.33  fof(f453,plain,(
% 0.09/0.33    spl0_2 <=> neq(sk2,nil)),
% 0.09/0.33    introduced(split_symbol_definition)).
% 0.09/0.33  fof(f454,plain,(
% 0.09/0.33    neq(sk2,nil)|~spl0_2),
% 0.09/0.33    inference(component_clause,[status(thm)],[f453])).
% 0.09/0.33  fof(f456,plain,(
% 0.09/0.33    spl0_2),
% 0.09/0.33    inference(split_clause,[status(thm)],[f436,f453])).
% 0.09/0.33  fof(f457,plain,(
% 0.09/0.33    spl0_3 <=> neq(sk4,nil)),
% 0.09/0.33    introduced(split_symbol_definition)).
% 0.09/0.33  fof(f459,plain,(
% 0.09/0.33    ~neq(sk4,nil)|spl0_3),
% 0.09/0.33    inference(component_clause,[status(thm)],[f457])).
% 0.09/0.33  fof(f461,plain,(
% 0.09/0.33    spl0_4 <=> ~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1),
% 0.09/0.33    introduced(split_symbol_definition)).
% 0.09/0.33  fof(f462,plain,(
% 0.09/0.33    ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sk2|~app(X1,X2)=sk1|~spl0_4)),
% 0.09/0.33    inference(component_clause,[status(thm)],[f461])).
% 0.09/0.33  fof(f465,plain,(
% 0.09/0.33    spl0_5 <=> ssItem(sk5)),
% 0.09/0.33    introduced(split_symbol_definition)).
% 0.09/0.33  fof(f469,plain,(
% 0.09/0.33    spl0_6 <=> app(sk3,cons(sk5,nil))=sk4),
% 0.09/0.33    introduced(split_symbol_definition)).
% 0.09/0.33  fof(f470,plain,(
% 0.09/0.33    app(sk3,cons(sk5,nil))=sk4|~spl0_6),
% 0.09/0.33    inference(component_clause,[status(thm)],[f469])).
% 0.09/0.33  fof(f473,plain,(
% 0.09/0.33    spl0_4|~spl0_3),
% 0.09/0.33    inference(split_clause,[status(thm)],[f443,f461,f457])).
% 0.09/0.33  fof(f474,plain,(
% 0.09/0.33    spl0_5|~spl0_3),
% 0.09/0.33    inference(split_clause,[status(thm)],[f444,f465,f457])).
% 0.09/0.33  fof(f475,plain,(
% 0.09/0.33    spl0_6|~spl0_3),
% 0.09/0.33    inference(split_clause,[status(thm)],[f445,f469,f457])).
% 0.09/0.33  fof(f507,plain,(
% 0.09/0.33    spl0_7 <=> ssList(nil)),
% 0.09/0.33    introduced(split_symbol_definition)).
% 0.09/0.34  fof(f509,plain,(
% 0.09/0.34    ~ssList(nil)|spl0_7),
% 0.09/0.34    inference(component_clause,[status(thm)],[f507])).
% 0.09/0.34  fof(f517,plain,(
% 0.09/0.34    $false|spl0_7),
% 0.09/0.34    inference(forward_subsumption_resolution,[status(thm)],[f509,f207])).
% 0.09/0.34  fof(f518,plain,(
% 0.09/0.34    spl0_7),
% 0.09/0.34    inference(contradiction_clause,[status(thm)],[f517])).
% 0.09/0.34  fof(f519,plain,(
% 0.09/0.34    ~neq(sk2,nil)|spl0_3),
% 0.09/0.34    inference(forward_demodulation,[status(thm)],[f434,f459])).
% 0.09/0.34  fof(f531,plain,(
% 0.09/0.34    spl0_12 <=> ssList(sk2)),
% 0.09/0.34    introduced(split_symbol_definition)).
% 0.09/0.34  fof(f533,plain,(
% 0.09/0.34    ~ssList(sk2)|spl0_12),
% 0.09/0.34    inference(component_clause,[status(thm)],[f531])).
% 0.09/0.34  fof(f536,plain,(
% 0.09/0.34    $false|spl0_12),
% 0.09/0.34    inference(forward_subsumption_resolution,[status(thm)],[f533,f431])).
% 0.09/0.34  fof(f537,plain,(
% 0.09/0.34    spl0_12),
% 0.09/0.34    inference(contradiction_clause,[status(thm)],[f536])).
% 0.09/0.34  fof(f538,plain,(
% 0.09/0.34    app(sk1,cons(sk5,nil))=sk4|~spl0_6),
% 0.09/0.34    inference(forward_demodulation,[status(thm)],[f435,f470])).
% 0.09/0.34  fof(f539,plain,(
% 0.09/0.34    app(sk1,cons(sk5,nil))=sk2|~spl0_6),
% 0.09/0.34    inference(forward_demodulation,[status(thm)],[f434,f538])).
% 0.09/0.34  fof(f544,plain,(
% 0.09/0.34    spl0_14 <=> ssList(sk1)),
% 0.09/0.34    introduced(split_symbol_definition)).
% 0.09/0.34  fof(f546,plain,(
% 0.09/0.34    ~ssList(sk1)|spl0_14),
% 0.09/0.34    inference(component_clause,[status(thm)],[f544])).
% 0.09/0.34  fof(f554,plain,(
% 0.09/0.34    $false|spl0_14),
% 0.09/0.34    inference(forward_subsumption_resolution,[status(thm)],[f546,f430])).
% 0.09/0.34  fof(f555,plain,(
% 0.09/0.34    spl0_14),
% 0.09/0.34    inference(contradiction_clause,[status(thm)],[f554])).
% 0.09/0.34  fof(f556,plain,(
% 0.09/0.34    spl0_16 <=> ~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1),
% 0.09/0.34    introduced(split_symbol_definition)).
% 0.09/0.34  fof(f557,plain,(
% 0.09/0.34    ![X0]: (~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1|~spl0_16)),
% 0.09/0.34    inference(component_clause,[status(thm)],[f556])).
% 0.09/0.34  fof(f559,plain,(
% 0.09/0.34    ![X0]: (~ssItem(sk5)|~ssList(sk1)|~ssList(X0)|~app(sk2,X0)=sk2|~app(sk1,X0)=sk1|~spl0_4|~spl0_6)),
% 0.09/0.34    inference(paramodulation,[status(thm)],[f539,f462])).
% 0.09/0.34  fof(f560,plain,(
% 0.09/0.34    ~spl0_5|~spl0_14|spl0_16|~spl0_4|~spl0_6),
% 0.09/0.34    inference(split_clause,[status(thm)],[f559,f465,f544,f556,f461,f469])).
% 0.09/0.34  fof(f563,plain,(
% 0.09/0.34    spl0_17 <=> app(sk1,nil)=sk1),
% 0.09/0.34    introduced(split_symbol_definition)).
% 0.09/0.34  fof(f565,plain,(
% 0.09/0.34    ~app(sk1,nil)=sk1|spl0_17),
% 0.09/0.34    inference(component_clause,[status(thm)],[f563])).
% 0.09/0.34  fof(f566,plain,(
% 0.09/0.34    ~ssList(nil)|~app(sk1,nil)=sk1|~ssList(sk2)|~spl0_16),
% 0.09/0.34    inference(resolution,[status(thm)],[f557,f273])).
% 0.09/0.34  fof(f567,plain,(
% 0.09/0.34    ~spl0_7|~spl0_17|~spl0_12|~spl0_16),
% 0.09/0.34    inference(split_clause,[status(thm)],[f566,f507,f563,f531,f556])).
% 0.09/0.34  fof(f568,plain,(
% 0.09/0.34    ~ssList(sk1)|spl0_17),
% 0.09/0.34    inference(resolution,[status(thm)],[f565,f273])).
% 0.09/0.34  fof(f569,plain,(
% 0.09/0.34    ~spl0_14|spl0_17),
% 0.09/0.34    inference(split_clause,[status(thm)],[f568,f544,f563])).
% 0.09/0.34  fof(f570,plain,(
% 0.09/0.34    $false|~spl0_2|spl0_3),
% 0.09/0.34    inference(forward_subsumption_resolution,[status(thm)],[f519,f454])).
% 0.09/0.34  fof(f571,plain,(
% 0.09/0.34    ~spl0_2|spl0_3),
% 0.09/0.34    inference(contradiction_clause,[status(thm)],[f570])).
% 0.09/0.34  fof(f572,plain,(
% 0.09/0.34    $false),
% 0.09/0.34    inference(sat_refutation,[status(thm)],[f456,f473,f474,f475,f518,f537,f555,f560,f567,f569,f571])).
% 0.09/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.36  % Elapsed time: 0.023987 seconds
% 0.09/0.36  % CPU time: 0.029093 seconds
% 0.09/0.36  % Total memory used: 14.299 MB
% 0.09/0.36  % Net memory used: 14.268 MB
%------------------------------------------------------------------------------