%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 : Sun Sep 27 08:23:13 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 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 : 26 ( 5 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm100_1,axiom,
p(south,south,south,south,start),
file('theBenchmark.p',thm100_1) ).
cnf(c_1,plain,
p(south,south,south,south,start),
inference(clausify,[status(thm)],[thm100_1]) ).
fof(thm100_3,axiom,
! [VAR_0] :
( ~ p(north,north,south,north,VAR_0)
| p(south,north,south,north,go_alone(VAR_0)) ),
file('theBenchmark.p',thm100_3) ).
cnf(c_3,plain,
( ~ p(north,north,south,north,A)
| p(south,north,south,north,go_alone(A)) ),
inference(clausify,[status(thm)],[thm100_3]) ).
fof(thm100_5,axiom,
! [VAR_0] :
( ~ p(north,south,north,south,VAR_0)
| p(south,south,north,south,go_alone(VAR_0)) ),
file('theBenchmark.p',thm100_5) ).
cnf(c_5,plain,
( ~ p(north,south,north,south,A)
| p(south,south,north,south,go_alone(A)) ),
inference(clausify,[status(thm)],[thm100_5]) ).
fof(thm100_6,axiom,
! [VAR_0] :
( ~ p(south,south,south,north,VAR_0)
| p(north,north,south,north,take_wolf(VAR_0)) ),
file('theBenchmark.p',thm100_6) ).
cnf(c_6,plain,
( ~ p(south,south,south,north,A)
| p(north,north,south,north,take_wolf(A)) ),
inference(clausify,[status(thm)],[thm100_6]) ).
fof(thm100_10,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p(south,VAR_0,south,VAR_1,VAR_2)
| p(north,VAR_0,north,VAR_1,take_goat(VAR_2)) ),
file('theBenchmark.p',thm100_10) ).
cnf(c_10,plain,
( ~ p(south,A,south,B,C)
| p(north,A,north,B,take_goat(C)) ),
inference(clausify,[status(thm)],[thm100_10]) ).
fof(thm100_11,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p(north,VAR_0,north,VAR_1,VAR_2)
| p(south,VAR_0,south,VAR_1,take_goat(VAR_2)) ),
file('theBenchmark.p',thm100_11) ).
cnf(c_11,plain,
( ~ p(north,A,north,B,C)
| p(south,A,south,B,take_goat(C)) ),
inference(clausify,[status(thm)],[thm100_11]) ).
fof(thm100_14,axiom,
! [VAR_0] :
( ~ p(south,south,north,south,VAR_0)
| p(north,south,north,north,take_cabbage(VAR_0)) ),
file('theBenchmark.p',thm100_14) ).
cnf(c_14,plain,
( ~ p(south,south,north,south,A)
| p(north,south,north,north,take_cabbage(A)) ),
inference(clausify,[status(thm)],[thm100_14]) ).
fof(thm100_16,axiom,
! [VAR_0] : ~ p(north,north,north,north,VAR_0),
file('theBenchmark.p',thm100_16) ).
cnf(c_16,plain,
~ p(north,north,north,north,A),
inference(clausify,[status(thm)],[thm100_16]) ).
cnf(c_17,plain,
p(north,south,north,south,take_goat(start)),
inference(resolve,[status(thm)],[c_10,c_1]) ).
cnf(c_18,plain,
~ p(south,north,south,north,A),
inference(resolve,[status(thm)],[c_16,c_10]) ).
cnf(c_20,plain,
p(south,south,north,south,go_alone(take_goat(start))),
inference(resolve,[status(thm)],[c_5,c_17]) ).
cnf(c_21,plain,
~ p(north,north,south,north,A),
inference(resolve,[status(thm)],[c_18,c_3]) ).
cnf(c_23,plain,
~ p(south,south,south,north,A),
inference(resolve,[status(thm)],[c_21,c_6]) ).
cnf(c_25,plain,
~ p(north,south,north,north,A),
inference(resolve,[status(thm)],[c_23,c_11]) ).
cnf(c_27,plain,
p(north,south,north,north,take_cabbage(go_alone(take_goat(start)))),
inference(resolve,[status(thm)],[c_14,c_20]) ).
cnf(c_28,plain,
$false,
inference(resolve,[status(thm)],[c_27,c_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 05:07:17 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1260858 was started by sandbox on n005,
% 0.10/0.36 % Sat Sep 26 05:07:17 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.36
% 0.13/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.37
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.37 % Length of proof is 16.
% 0.13/0.37 % Level of proof is 5.
% 0.13/0.37 % Maximum clause weight is 13.000.
% 0.13/0.37 % Given clauses 23.
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------