%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 01:58:29 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Location1,Bananas] :
( ~ can(monkey(Location1,floor,nothing),ladder(Location1,floor),Bananas)
| can(monkey(Location1,ceiling,nothing),ladder(Location1,floor),Bananas) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Location2,Bananas,Location1] :
( ~ can(monkey(Location1,floor,the_ladder),ladder(Location1,floor),Bananas)
| can(monkey(Location2,floor,the_ladder),ladder(Location2,floor),Bananas) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Location2,Ladder,Bananas,Location1] :
( ~ can(monkey(Location1,floor,nothing),Ladder,Bananas)
| can(monkey(Location2,floor,nothing),Ladder,Bananas) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Location,Height,Bananas,Any_height] :
( ~ can(monkey(Location,Height,the_ladder),ladder(Location,Any_height),Bananas)
| can(monkey(Location,Height,nothing),ladder(Location,floor),Bananas) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Location,Height,Ladder] :
( ~ can(monkey(Location,Height,nothing),Ladder,bananas(Location,Height))
| can(monkey(Location,Height,the_bananas),Ladder,bananas(Location,Height)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Location,Height,Bananas] :
( ~ can(monkey(Location,Height,nothing),ladder(Location,Height),Bananas)
| can(monkey(Location,Height,the_ladder),ladder(Location,Height),Bananas) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [Somewhere,Some_height,Ladder,What] : ~ can(monkey(Somewhere,Some_height,the_bananas),Ladder,What),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1] :
( ~ can(monkey(X0,floor,nothing),ladder(X0,floor),X1)
| can(monkey(X0,ceiling,nothing),ladder(X0,floor),X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [Bananas] :
( ! [Location1] : ~ can(monkey(Location1,floor,the_ladder),ladder(Location1,floor),Bananas)
| ! [Location2] : can(monkey(Location2,floor,the_ladder),ladder(Location2,floor),Bananas) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ can(monkey(X2,floor,the_ladder),ladder(X2,floor),X1)
| can(monkey(X0,floor,the_ladder),ladder(X0,floor),X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f18,plain,
! [Ladder,Bananas] :
( ! [Location1] : ~ can(monkey(Location1,floor,nothing),Ladder,Bananas)
| ! [Location2] : can(monkey(Location2,floor,nothing),Ladder,Bananas) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( ~ can(monkey(X3,floor,nothing),X1,X2)
| can(monkey(X0,floor,nothing),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [Location,Height,Bananas] :
( ! [Any_height] : ~ can(monkey(Location,Height,the_ladder),ladder(Location,Any_height),Bananas)
| can(monkey(Location,Height,nothing),ladder(Location,floor),Bananas) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ can(monkey(X0,X1,the_ladder),ladder(X0,X3),X2)
| can(monkey(X0,X1,nothing),ladder(X0,floor),X2) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ can(monkey(X0,X1,nothing),X2,bananas(X0,X1))
| can(monkey(X0,X1,the_bananas),X2,bananas(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ can(monkey(X0,X1,nothing),ladder(X0,X1),X2)
| can(monkey(X0,X1,the_ladder),ladder(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : ~ can(monkey(X0,X1,the_bananas),X2,X3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
! [X0,X1,X2] : ~ can(monkey(X0,X1,nothing),X2,bananas(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f23,f26]) ).
fof(f28,plain,
! [X0] : can(monkey(X0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
inference(resolution,[status(thm)],[f25,f19]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ can(monkey(X2,floor,nothing),ladder(X2,floor),X1)
| can(monkey(X0,floor,the_ladder),ladder(X0,floor),X1) ),
inference(resolution,[status(thm)],[f15,f24]) ).
fof(f35,plain,
! [X0] : can(monkey(X0,floor,the_ladder),ladder(X0,floor),bananas(l2,ceiling)),
inference(resolution,[status(thm)],[f34,f28]) ).
fof(f37,plain,
! [X0] : can(monkey(X0,floor,nothing),ladder(X0,floor),bananas(l2,ceiling)),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f39,plain,
! [X0] : can(monkey(X0,ceiling,nothing),ladder(X0,floor),bananas(l2,ceiling)),
inference(resolution,[status(thm)],[f37,f12]) ).
fof(f43,plain,
$false,
inference(resolution,[status(thm)],[f39,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:34:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.43 % Elapsed time: 0.051841 seconds
% 0.11/0.43 % CPU time: 0.153158 seconds
% 0.11/0.43 % Total memory used: 55.714 MB
% 0.11/0.43 % Net memory used: 55.321 MB
%------------------------------------------------------------------------------