%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : 600s
% DateTime : Mon Jul 18 18:27:12 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ achievable(west(m(s(u)),c(v)),boatonwest,east(m(w),c(x)))
| achievable(west(m(u),c(v)),boatoneast,east(m(s(w)),c(x))) ),
file('PUZ008-1.p',unknown),
[] ).
cnf(13,axiom,
achievable(west(u,v),w,east(m(s(x)),c(s(s(x))))),
file('PUZ008-1.p',unknown),
[] ).
cnf(16,axiom,
~ achievable(west(m(n0),c(n0)),u,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
file('PUZ008-1.p',unknown),
[] ).
cnf(17,plain,
~ achievable(west(m(s(n0)),c(n0)),boatonwest,east(m(s(s(n0))),c(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[5,16]),
[iquote('0:Res:5.1,16.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[17,13]),
[iquote('0:MRR:17.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 02:17:41 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.40
% 0.19/0.40 SPASS V 3.9
% 0.19/0.40 SPASS beiseite: Proof found.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 17 clauses.
% 0.19/0.40 SPASS allocated 63121 KBytes.
% 0.19/0.40 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.40 0:00:00.04 for the input.
% 0.19/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40 0:00:00.00 for inferences.
% 0.19/0.40 0:00:00.00 for the backtracking.
% 0.19/0.40 0:00:00.00 for the reduction.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Here is a proof with depth 1, length 5 :
% 0.19/0.40 % SZS output start Refutation
% See solution above
% 0.19/0.40 Formulae used in the proof : missionary_west_to_east extra_cannibal_meal_on_east_bank prove_can_get_to_east_bank
% 0.19/0.40
%------------------------------------------------------------------------------