%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:59:58 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 21 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p(south,south,south,south,start),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [A] :
( ~ p(north,north,south,north,A)
| p(south,north,south,north,go_alone(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [A] :
( ~ p(north,south,north,south,A)
| p(south,south,north,south,go_alone(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [A] :
( ~ p(south,south,north,south,A)
| p(north,north,north,south,take_wolf(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [A,B,C] :
( ~ p(south,A,south,B,C)
| p(north,A,north,B,take_goat(C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [A,B,C] :
( ~ p(north,A,north,B,C)
| p(south,A,south,B,take_goat(C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [A] :
( ~ p(south,north,south,south,A)
| p(north,north,south,north,take_cabbage(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [A] : ~ p(north,north,north,north,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [X0] :
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,go_alone(X0)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
! [X0] :
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,go_alone(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0] :
( ~ p(south,south,north,south,X0)
| p(north,north,north,south,take_wolf(X0)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ p(south,X0,south,X1,X2)
| p(north,X0,north,X1,take_goat(X2)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ p(north,X0,north,X1,X2)
| p(south,X0,south,X1,take_goat(X2)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0] :
( ~ p(south,north,south,south,X0)
| p(north,north,south,north,take_cabbage(X0)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
! [X0] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f33,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[status(thm)],[f26,f32]) ).
fof(f35,plain,
! [X0] : ~ p(north,north,south,north,X0),
inference(forward_subsumption_resolution,[status(thm)],[f19,f33]) ).
fof(f39,plain,
! [X0] : ~ p(south,north,south,south,X0),
inference(forward_subsumption_resolution,[status(thm)],[f28,f35]) ).
fof(f40,plain,
! [X0] : ~ p(north,north,north,south,X0),
inference(resolution,[status(thm)],[f39,f27]) ).
fof(f41,plain,
! [X0] : ~ p(south,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[f24,f40]) ).
fof(f43,plain,
! [X0] : ~ p(north,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[f21,f41]) ).
fof(f44,plain,
! [X0] : ~ p(south,south,south,south,X0),
inference(resolution,[status(thm)],[f43,f26]) ).
fof(f46,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f17,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.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 03:48:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.45 % Elapsed time: 0.074318 seconds
% 0.11/0.45 % CPU time: 0.097499 seconds
% 0.11/0.45 % Total memory used: 1.749 MB
% 0.11/0.45 % Net memory used: 1.747 MB
%------------------------------------------------------------------------------