TSTP Solution File: PLA022-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 12:31:30 EDT 2023

% Result   : Unsatisfiable 0.20s 0.36s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:41:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.20/0.36  % Refutation found
% 0.20/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.36  fof(f1,axiom,(
% 0.20/0.36    (![X,Y,State]: (( holds(and(X,Y),State)| ~ holds(X,State)| ~ holds(Y,State) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f2,axiom,(
% 0.20/0.36    (![X,State]: (( holds(holding(X),do(pickup(X),State))| ~ holds(empty,State)| ~ holds(clear(X),State)| ~ differ(X,table) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f4,axiom,(
% 0.20/0.36    (![X,Y,Z,State]: (( holds(on(X,Y),do(pickup(Z),State))| ~ holds(on(X,Y),State)| ~ differ(X,Z) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f5,axiom,(
% 0.20/0.36    (![X,Z,State]: (( holds(clear(X),do(pickup(Z),State))| ~ holds(clear(X),State)| ~ differ(X,Z) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f7,axiom,(
% 0.20/0.36    (![X,Y,State]: (( holds(on(X,Y),do(putdown(X,Y),State))| ~ holds(holding(X),State)| ~ holds(clear(Y),State) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f9,axiom,(
% 0.20/0.36    (![X,Y,Z,W,State]: (( holds(on(X,Y),do(putdown(Z,W),State))| ~ holds(on(X,Y),State) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f11,axiom,(
% 0.20/0.36    (![X,Y]: (( differ(X,Y)| ~ differ(Y,X) ) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f13,axiom,(
% 0.20/0.36    differ(a,c) ),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f15,axiom,(
% 0.20/0.36    differ(a,table) ),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f24,axiom,(
% 0.20/0.36    holds(on(c,d),s0) ),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f26,axiom,(
% 0.20/0.36    holds(clear(a),s0) ),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f28,axiom,(
% 0.20/0.36    holds(clear(c),s0) ),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f29,axiom,(
% 0.20/0.36    holds(empty,s0) ),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f31,negated_conjecture,(
% 0.20/0.36    (![State]: (~ holds(and(on(a,c),on(c,d)),State) ))),
% 0.20/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36  fof(f32,plain,(
% 0.20/0.36    ![Y,State]: ((![X]: (holds(and(X,Y),State)|~holds(X,State)))|~holds(Y,State))),
% 0.20/0.36    inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.36  fof(f33,plain,(
% 0.20/0.36    ![X0,X1,X2]: (holds(and(X0,X1),X2)|~holds(X0,X2)|~holds(X1,X2))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.36  fof(f34,plain,(
% 0.20/0.36    ![X]: ((![State]: ((holds(holding(X),do(pickup(X),State))|~holds(empty,State))|~holds(clear(X),State)))|~differ(X,table))),
% 0.20/0.36    inference(miniscoping,[status(esa)],[f2])).
% 0.20/0.36  fof(f35,plain,(
% 0.20/0.36    ![X0,X1]: (holds(holding(X0),do(pickup(X0),X1))|~holds(empty,X1)|~holds(clear(X0),X1)|~differ(X0,table))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.36  fof(f38,plain,(
% 0.20/0.36    ![X,Z]: ((![Y,State]: (holds(on(X,Y),do(pickup(Z),State))|~holds(on(X,Y),State)))|~differ(X,Z))),
% 0.20/0.36    inference(miniscoping,[status(esa)],[f4])).
% 0.20/0.36  fof(f39,plain,(
% 0.20/0.36    ![X0,X1,X2,X3]: (holds(on(X0,X1),do(pickup(X2),X3))|~holds(on(X0,X1),X3)|~differ(X0,X2))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f38])).
% 0.20/0.36  fof(f40,plain,(
% 0.20/0.36    ![X,Z]: ((![State]: (holds(clear(X),do(pickup(Z),State))|~holds(clear(X),State)))|~differ(X,Z))),
% 0.20/0.36    inference(miniscoping,[status(esa)],[f5])).
% 0.20/0.36  fof(f41,plain,(
% 0.20/0.36    ![X0,X1,X2]: (holds(clear(X0),do(pickup(X1),X2))|~holds(clear(X0),X2)|~differ(X0,X1))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36  fof(f44,plain,(
% 0.20/0.36    ![Y,State]: ((![X]: (holds(on(X,Y),do(putdown(X,Y),State))|~holds(holding(X),State)))|~holds(clear(Y),State))),
% 0.20/0.36    inference(miniscoping,[status(esa)],[f7])).
% 0.20/0.36  fof(f45,plain,(
% 0.20/0.36    ![X0,X1,X2]: (holds(on(X0,X1),do(putdown(X0,X1),X2))|~holds(holding(X0),X2)|~holds(clear(X1),X2))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f44])).
% 0.20/0.36  fof(f48,plain,(
% 0.20/0.36    ![X,Y,State]: ((![Z,W]: holds(on(X,Y),do(putdown(Z,W),State)))|~holds(on(X,Y),State))),
% 0.20/0.36    inference(miniscoping,[status(esa)],[f9])).
% 0.20/0.36  fof(f49,plain,(
% 0.20/0.36    ![X0,X1,X2,X3,X4]: (holds(on(X0,X1),do(putdown(X2,X3),X4))|~holds(on(X0,X1),X4))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.36  fof(f52,plain,(
% 0.20/0.36    ![X0,X1]: (differ(X0,X1)|~differ(X1,X0))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.36  fof(f54,plain,(
% 0.20/0.36    differ(a,c)),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.36  fof(f56,plain,(
% 0.20/0.36    differ(a,table)),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.36  fof(f65,plain,(
% 0.20/0.36    holds(on(c,d),s0)),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.36  fof(f67,plain,(
% 0.20/0.36    holds(clear(a),s0)),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.36  fof(f69,plain,(
% 0.20/0.36    holds(clear(c),s0)),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.36  fof(f70,plain,(
% 0.20/0.36    holds(empty,s0)),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.36  fof(f72,plain,(
% 0.20/0.36    ![X0]: (~holds(and(on(a,c),on(c,d)),X0))),
% 0.20/0.36    inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.36  fof(f73,plain,(
% 0.20/0.36    ![X0]: (~holds(on(a,c),X0)|~holds(on(c,d),X0))),
% 0.20/0.36    inference(resolution,[status(thm)],[f33,f72])).
% 0.20/0.36  fof(f84,plain,(
% 0.20/0.36    differ(c,a)),
% 0.20/0.36    inference(resolution,[status(thm)],[f52,f54])).
% 0.20/0.36  fof(f92,plain,(
% 0.20/0.36    ![X0,X1,X2]: (~holds(on(c,d),X0)|~holds(on(a,c),do(putdown(X1,X2),X0)))),
% 0.20/0.36    inference(resolution,[status(thm)],[f49,f73])).
% 0.20/0.36  fof(f95,plain,(
% 0.20/0.36    ![X0]: (~holds(on(c,d),X0)|~holds(holding(a),X0)|~holds(clear(c),X0))),
% 0.20/0.36    inference(resolution,[status(thm)],[f92,f45])).
% 0.20/0.36  fof(f100,plain,(
% 0.20/0.36    spl0_1 <=> holds(clear(c),s0)),
% 0.20/0.36    introduced(split_symbol_definition)).
% 0.20/0.36  fof(f102,plain,(
% 0.20/0.36    ~holds(clear(c),s0)|spl0_1),
% 0.20/0.36    inference(component_clause,[status(thm)],[f100])).
% 0.20/0.36  fof(f105,plain,(
% 0.20/0.36    ![X0,X1]: (~holds(holding(a),do(pickup(X0),X1))|~holds(clear(c),do(pickup(X0),X1))|~holds(on(c,d),X1)|~differ(c,X0))),
% 0.20/0.36    inference(resolution,[status(thm)],[f95,f39])).
% 0.20/0.36  fof(f123,plain,(
% 0.20/0.36    ![X0,X1]: (~holds(holding(a),do(pickup(X0),X1))|~holds(on(c,d),X1)|~differ(c,X0)|~holds(clear(c),X1)|~differ(c,X0))),
% 0.20/0.36    inference(resolution,[status(thm)],[f105,f41])).
% 0.20/0.36  fof(f124,plain,(
% 0.20/0.36    ![X0,X1]: (~holds(holding(a),do(pickup(X0),X1))|~holds(on(c,d),X1)|~differ(c,X0)|~holds(clear(c),X1))),
% 0.20/0.36    inference(duplicate_literals_removal,[status(esa)],[f123])).
% 0.20/0.36  fof(f126,plain,(
% 0.20/0.36    spl0_4 <=> ~holds(on(c,d),X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(a),X0)),
% 0.20/0.36    introduced(split_symbol_definition)).
% 0.20/0.36  fof(f127,plain,(
% 0.20/0.36    ![X0]: (~holds(on(c,d),X0)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(a),X0)|~spl0_4)),
% 0.20/0.36    inference(component_clause,[status(thm)],[f126])).
% 0.20/0.36  fof(f129,plain,(
% 0.20/0.36    spl0_5 <=> differ(c,a)),
% 0.20/0.36    introduced(split_symbol_definition)).
% 0.20/0.36  fof(f131,plain,(
% 0.20/0.36    ~differ(c,a)|spl0_5),
% 0.20/0.36    inference(component_clause,[status(thm)],[f129])).
% 0.20/0.36  fof(f132,plain,(
% 0.20/0.36    spl0_6 <=> differ(a,table)),
% 0.20/0.36    introduced(split_symbol_definition)).
% 0.20/0.36  fof(f134,plain,(
% 0.20/0.36    ~differ(a,table)|spl0_6),
% 0.20/0.36    inference(component_clause,[status(thm)],[f132])).
% 0.20/0.36  fof(f135,plain,(
% 0.20/0.36    ![X0]: (~holds(on(c,d),X0)|~differ(c,a)|~holds(clear(c),X0)|~holds(empty,X0)|~holds(clear(a),X0)|~differ(a,table))),
% 0.20/0.36    inference(resolution,[status(thm)],[f124,f35])).
% 0.20/0.36  fof(f136,plain,(
% 0.20/0.36    spl0_4|~spl0_5|~spl0_6),
% 0.20/0.36    inference(split_clause,[status(thm)],[f135,f126,f129,f132])).
% 0.20/0.36  fof(f137,plain,(
% 0.20/0.36    $false|spl0_6),
% 0.20/0.36    inference(forward_subsumption_resolution,[status(thm)],[f134,f56])).
% 0.20/0.36  fof(f138,plain,(
% 0.20/0.36    spl0_6),
% 0.20/0.36    inference(contradiction_clause,[status(thm)],[f137])).
% 0.20/0.36  fof(f139,plain,(
% 0.20/0.36    $false|spl0_5),
% 0.20/0.36    inference(forward_subsumption_resolution,[status(thm)],[f131,f84])).
% 0.20/0.36  fof(f140,plain,(
% 0.20/0.36    spl0_5),
% 0.20/0.36    inference(contradiction_clause,[status(thm)],[f139])).
% 0.20/0.36  fof(f141,plain,(
% 0.20/0.36    spl0_7 <=> holds(empty,s0)),
% 0.20/0.36    introduced(split_symbol_definition)).
% 0.20/0.36  fof(f143,plain,(
% 0.20/0.36    ~holds(empty,s0)|spl0_7),
% 0.20/0.36    inference(component_clause,[status(thm)],[f141])).
% 0.20/0.36  fof(f144,plain,(
% 0.20/0.36    spl0_8 <=> holds(clear(a),s0)),
% 0.20/0.36    introduced(split_symbol_definition)).
% 0.20/0.36  fof(f146,plain,(
% 0.20/0.36    ~holds(clear(a),s0)|spl0_8),
% 0.20/0.36    inference(component_clause,[status(thm)],[f144])).
% 0.20/0.36  fof(f147,plain,(
% 0.20/0.36    ~holds(clear(c),s0)|~holds(empty,s0)|~holds(clear(a),s0)|~spl0_4),
% 0.20/0.36    inference(resolution,[status(thm)],[f127,f65])).
% 0.20/0.36  fof(f148,plain,(
% 0.20/0.36    ~spl0_1|~spl0_7|~spl0_8|~spl0_4),
% 0.20/0.36    inference(split_clause,[status(thm)],[f147,f100,f141,f144,f126])).
% 0.20/0.36  fof(f153,plain,(
% 0.20/0.36    $false|spl0_8),
% 0.20/0.36    inference(forward_subsumption_resolution,[status(thm)],[f146,f67])).
% 0.20/0.36  fof(f154,plain,(
% 0.20/0.36    spl0_8),
% 0.20/0.36    inference(contradiction_clause,[status(thm)],[f153])).
% 0.30/0.58  fof(f155,plain,(
% 0.30/0.58    $false|spl0_7),
% 0.30/0.58    inference(forward_subsumption_resolution,[status(thm)],[f143,f70])).
% 0.30/0.58  fof(f156,plain,(
% 0.30/0.58    spl0_7),
% 0.30/0.58    inference(contradiction_clause,[status(thm)],[f155])).
% 0.30/0.58  fof(f157,plain,(
% 0.30/0.58    $false|spl0_1),
% 0.30/0.58    inference(forward_subsumption_resolution,[status(thm)],[f102,f69])).
% 0.30/0.58  fof(f158,plain,(
% 0.30/0.58    spl0_1),
% 0.30/0.58    inference(contradiction_clause,[status(thm)],[f157])).
% 0.30/0.58  fof(f159,plain,(
% 0.30/0.58    $false),
% 0.30/0.58    inference(sat_refutation,[status(thm)],[f136,f138,f140,f148,f154,f156,f158])).
% 0.30/0.58  % SZS output end CNFRefutation for theBenchmark.p
% 0.30/0.58  % Elapsed time: 0.021681 seconds
% 0.30/0.58  % CPU time: 0.072230 seconds
% 0.30/0.58  % Memory used: 9.205 MB
%------------------------------------------------------------------------------