TSTP Solution File: SWC408-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC408-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:45:40 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC408-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n031.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 : Tue Apr 30 00:34:28 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36  fof(f140,axiom,(
% 0.14/0.36    (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f187,negated_conjecture,(
% 0.14/0.36    ssList(sk2) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f190,negated_conjecture,(
% 0.14/0.36    app(sk4,sk4) = sk3 ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f191,negated_conjecture,(
% 0.14/0.36    sk2 = sk4 ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f192,negated_conjecture,(
% 0.14/0.36    sk1 = sk3 ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f193,negated_conjecture,(
% 0.14/0.36    ssItem(sk5) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f194,negated_conjecture,(
% 0.14/0.36    memberP(sk2,sk5) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f195,negated_conjecture,(
% 0.14/0.36    ~ memberP(sk1,sk5) ),
% 0.14/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f350,plain,(
% 0.14/0.36    ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f140])).
% 0.14/0.36  fof(f427,plain,(
% 0.14/0.36    ssList(sk2)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f187])).
% 0.14/0.36  fof(f430,plain,(
% 0.14/0.36    app(sk4,sk4)=sk3),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f190])).
% 0.14/0.36  fof(f431,plain,(
% 0.14/0.36    sk2=sk4),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f191])).
% 0.14/0.36  fof(f432,plain,(
% 0.14/0.36    sk1=sk3),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f192])).
% 0.14/0.36  fof(f433,plain,(
% 0.14/0.36    ssItem(sk5)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f193])).
% 0.14/0.36  fof(f434,plain,(
% 0.14/0.36    memberP(sk2,sk5)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f194])).
% 0.14/0.36  fof(f435,plain,(
% 0.14/0.36    ~memberP(sk1,sk5)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f195])).
% 0.14/0.36  fof(f473,plain,(
% 0.14/0.36    app(sk2,sk4)=sk3),
% 0.14/0.36    inference(forward_demodulation,[status(thm)],[f431,f430])).
% 0.14/0.36  fof(f474,plain,(
% 0.14/0.36    app(sk2,sk2)=sk3),
% 0.14/0.36    inference(forward_demodulation,[status(thm)],[f431,f473])).
% 0.14/0.36  fof(f475,plain,(
% 0.14/0.36    app(sk2,sk2)=sk1),
% 0.14/0.36    inference(backward_demodulation,[status(thm)],[f432,f474])).
% 0.14/0.36  fof(f477,plain,(
% 0.14/0.36    spl0_2 <=> ssList(sk2)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f479,plain,(
% 0.14/0.36    ~ssList(sk2)|spl0_2),
% 0.14/0.36    inference(component_clause,[status(thm)],[f477])).
% 0.14/0.36  fof(f485,plain,(
% 0.14/0.36    $false|spl0_2),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f479,f427])).
% 0.14/0.36  fof(f486,plain,(
% 0.14/0.36    spl0_2),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f485])).
% 0.14/0.36  fof(f511,plain,(
% 0.14/0.36    spl0_8 <=> ~memberP(sk2,X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f512,plain,(
% 0.14/0.36    ![X0]: (~memberP(sk2,X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_8)),
% 0.14/0.36    inference(component_clause,[status(thm)],[f511])).
% 0.14/0.36  fof(f514,plain,(
% 0.14/0.36    ![X0]: (~memberP(sk2,X0)|~ssList(sk2)|~ssList(sk2)|~ssItem(X0)|memberP(sk1,X0))),
% 0.14/0.36    inference(paramodulation,[status(thm)],[f475,f350])).
% 0.14/0.36  fof(f515,plain,(
% 0.14/0.36    spl0_8|~spl0_2),
% 0.14/0.36    inference(split_clause,[status(thm)],[f514,f511,f477])).
% 0.14/0.36  fof(f530,plain,(
% 0.14/0.36    spl0_11 <=> ssItem(sk5)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f532,plain,(
% 0.14/0.36    ~ssItem(sk5)|spl0_11),
% 0.14/0.36    inference(component_clause,[status(thm)],[f530])).
% 0.14/0.36  fof(f533,plain,(
% 0.14/0.36    spl0_12 <=> memberP(sk1,sk5)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f534,plain,(
% 0.14/0.36    memberP(sk1,sk5)|~spl0_12),
% 0.14/0.36    inference(component_clause,[status(thm)],[f533])).
% 0.14/0.36  fof(f536,plain,(
% 0.14/0.36    ~ssItem(sk5)|memberP(sk1,sk5)|~spl0_8),
% 0.14/0.36    inference(resolution,[status(thm)],[f512,f434])).
% 0.14/0.36  fof(f537,plain,(
% 0.14/0.36    ~spl0_11|spl0_12|~spl0_8),
% 0.14/0.36    inference(split_clause,[status(thm)],[f536,f530,f533,f511])).
% 0.14/0.36  fof(f538,plain,(
% 0.14/0.36    $false|spl0_11),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f532,f433])).
% 0.14/0.36  fof(f539,plain,(
% 0.14/0.36    spl0_11),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f538])).
% 0.14/0.36  fof(f540,plain,(
% 0.14/0.36    $false|~spl0_12),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f534,f435])).
% 0.14/0.36  fof(f541,plain,(
% 0.14/0.36    ~spl0_12),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f540])).
% 0.14/0.36  fof(f542,plain,(
% 0.14/0.36    $false),
% 0.14/0.36    inference(sat_refutation,[status(thm)],[f486,f515,f537,f539,f541])).
% 0.14/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38  % Elapsed time: 0.026054 seconds
% 0.14/0.38  % CPU time: 0.041478 seconds
% 0.14/0.38  % Total memory used: 14.279 MB
% 0.14/0.38  % Net memory used: 14.262 MB
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