TSTP Solution File: PUZ008-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ008-2 : 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 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 24 RR)
% Number of literals : 35 ( 0 equ; 17 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(14,axiom,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(20,axiom,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(21,axiom,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(29,axiom,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
file('PUZ008-2.p',unknown),
[] ).
cnf(31,axiom,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
file('PUZ008-2.p',unknown),
[] ).
cnf(32,axiom,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
file('PUZ008-2.p',unknown),
[] ).
cnf(34,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast),
inference(mrr,[status(thm)],[6,31]),
[iquote('0:MRR:6.0,31.0')] ).
cnf(35,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest),
inference(mrr,[status(thm)],[9,32]),
[iquote('0:MRR:9.1,32.0')] ).
cnf(36,plain,
~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
inference(mrr,[status(thm)],[11,35]),
[iquote('0:MRR:11.1,35.0')] ).
cnf(37,plain,
~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
inference(mrr,[status(thm)],[7,36]),
[iquote('0:MRR:7.1,36.0')] ).
cnf(38,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
inference(mrr,[status(thm)],[10,37]),
[iquote('0:MRR:10.1,37.0')] ).
cnf(39,plain,
banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
inference(mrr,[status(thm)],[14,34]),
[iquote('0:MRR:14.0,34.0')] ).
cnf(40,plain,
banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
inference(mrr,[status(thm)],[8,39]),
[iquote('0:MRR:8.0,39.0')] ).
cnf(41,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
inference(mrr,[status(thm)],[12,40]),
[iquote('0:MRR:12.0,40.0')] ).
cnf(44,plain,
banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
inference(mrr,[status(thm)],[20,41]),
[iquote('0:MRR:20.0,41.0')] ).
cnf(45,plain,
~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
inference(mrr,[status(thm)],[21,38]),
[iquote('0:MRR:21.1,38.0')] ).
cnf(46,plain,
$false,
inference(mrr,[status(thm)],[29,44,45]),
[iquote('0:MRR:29.0,29.1,44.0,45.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 19:59:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 24 clauses.
% 0.19/0.42 SPASS allocated 63142 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.00 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 0, length 24 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : bmmmccc_x_to_mmmc_bcc bccc_mmm_to_c_bmmmcc bmmmcc_c_to_mmm_bccc bcc_mmmc_to_x_bmmmccc cc_bmmmc_to_bccc_mmm c_bmmmcc_to_bcc_mmmc mmm_bccc_to_bmmmc_cc mmmc_bcc_to_bmmmcc_c bmmmc_cc_to_mc_bmmcc bmmcc_mc_to_cc_bmmmc mc_bmmcc_to_bmmcc_mc starting_configuration prove_can_get_across
% 0.19/0.42
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