%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA020-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:58:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [Y,X,State] :
( ~ holds(empty,State)
| ~ holds(clear(X),State)
| ~ holds(on(X,Y),State)
| holds(clear(Y),do(pickup(X),State)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [State] : ~ holds(clear(d),State),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [State] :
( ~ holds(empty,State)
| ! [X] :
( ~ holds(clear(X),State)
| ! [Y] :
( ~ holds(on(X,Y),State)
| holds(clear(Y),do(pickup(X),State)) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ holds(on(X1,X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f65,plain,
holds(on(c,d),s0),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f69,plain,
holds(clear(c),s0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f70,plain,
holds(empty,s0),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f72,plain,
! [X0] : ~ holds(clear(d),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f93,plain,
! [X0,X1] :
( ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(resolution,[status(thm)],[f37,f72]) ).
fof(f95,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(resolution,[status(thm)],[f93,f65]) ).
fof(f97,plain,
~ holds(empty,s0),
inference(forward_subsumption_resolution,[status(thm)],[f95,f69]) ).
fof(f98,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f97,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA020-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n012.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:31:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.034371 seconds
% 0.12/0.39 % CPU time: 0.091292 seconds
% 0.12/0.39 % Total memory used: 38.764 MB
% 0.12/0.39 % Net memory used: 38.649 MB
%------------------------------------------------------------------------------