%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:22:43 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 51 ( 29 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(bccc_mmm_to_c_bmmmcc,axiom,
( banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
file('theBenchmark.p',bccc_mmm_to_c_bmmmcc) ).
cnf(c_7,plain,
( banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
inference(clausify,[status(thm)],[bccc_mmm_to_c_bmmmcc]) ).
fof(bmmmcc_c_to_mmm_bccc,axiom,
( banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
file('theBenchmark.p',bmmmcc_c_to_mmm_bccc) ).
cnf(c_8,plain,
( banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
inference(clausify,[status(thm)],[bmmmcc_c_to_mmm_bccc]) ).
fof(cc_bmmmc_to_bccc_mmm,axiom,
( banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
file('theBenchmark.p',cc_bmmmc_to_bccc_mmm) ).
cnf(c_10,plain,
( banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
inference(clausify,[status(thm)],[cc_bmmmc_to_bccc_mmm]) ).
fof(mmm_bccc_to_bmmmc_cc,axiom,
( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
file('theBenchmark.p',mmm_bccc_to_bmmmc_cc) ).
cnf(c_12,plain,
( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
inference(clausify,[status(thm)],[mmm_bccc_to_bmmmc_cc]) ).
fof(bmmmc_cc_to_mc_bmmcc,axiom,
( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
file('theBenchmark.p',bmmmc_cc_to_mc_bmmcc) ).
cnf(c_20,plain,
( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
inference(clausify,[status(thm)],[bmmmc_cc_to_mc_bmmcc]) ).
fof(bmmcc_mc_to_cc_bmmmc,axiom,
( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
file('theBenchmark.p',bmmcc_mc_to_cc_bmmmc) ).
cnf(c_21,plain,
( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
inference(clausify,[status(thm)],[bmmcc_mc_to_cc_bmmmc]) ).
fof(c_bmmmcc_to_bmc_mmcc,axiom,
( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)
| ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
file('theBenchmark.p',c_bmmmcc_to_bmc_mmcc) ).
cnf(c_22,plain,
( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)
| ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
inference(clausify,[status(thm)],[c_bmmmcc_to_bmc_mmcc]) ).
fof(mmcc_bmc_to_bmmmcc_c,axiom,
( banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
file('theBenchmark.p',mmcc_bmc_to_bmmmcc_c) ).
cnf(c_23,plain,
( banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
inference(clausify,[status(thm)],[mmcc_bmc_to_bmmmcc_c]) ).
fof(bmmmccc_x_to_mmcc_bmc,axiom,
( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)
| ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
file('theBenchmark.p',bmmmccc_x_to_mmcc_bmc) ).
cnf(c_26,plain,
( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)
| ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
inference(clausify,[status(thm)],[bmmmccc_x_to_mmcc_bmc]) ).
fof(bmc_mmcc_to_x_bmmmccc,axiom,
( banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
| ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
file('theBenchmark.p',bmc_mmcc_to_x_bmmmccc) ).
cnf(c_28,plain,
( banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
| ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
inference(clausify,[status(thm)],[bmc_mmcc_to_x_bmmmccc]) ).
fof(mc_bmmcc_to_bmmcc_mc,axiom,
( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
file('theBenchmark.p',mc_bmmcc_to_bmmcc_mc) ).
cnf(c_29,plain,
( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
inference(clausify,[status(thm)],[mc_bmmcc_to_bmmcc_mc]) ).
fof(starting_configuration,axiom,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
file('theBenchmark.p',starting_configuration) ).
cnf(c_31,plain,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
inference(clausify,[status(thm)],[starting_configuration]) ).
fof(prove_can_get_across,axiom,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
file('theBenchmark.p',prove_can_get_across) ).
cnf(c_32,plain,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
inference(clausify,[status(thm)],[prove_can_get_across]) ).
cnf(c_33,plain,
banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast),
inference(resolve,[status(thm)],[c_31,c_26]) ).
cnf(c_35,plain,
~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest),
inference(resolve,[status(thm)],[c_32,c_28]) ).
cnf(c_38,plain,
banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
inference(resolve,[status(thm)],[c_33,c_23]) ).
cnf(c_39,plain,
~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
inference(resolve,[status(thm)],[c_35,c_22]) ).
cnf(c_40,plain,
banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
inference(resolve,[status(thm)],[c_38,c_8]) ).
cnf(c_41,plain,
~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
inference(resolve,[status(thm)],[c_39,c_7]) ).
cnf(c_42,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
inference(resolve,[status(thm)],[c_40,c_12]) ).
cnf(c_43,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
inference(resolve,[status(thm)],[c_41,c_10]) ).
cnf(c_44,plain,
banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
inference(resolve,[status(thm)],[c_42,c_20]) ).
cnf(c_45,plain,
~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
inference(resolve,[status(thm)],[c_43,c_21]) ).
cnf(c_47,plain,
banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
inference(resolve,[status(thm)],[c_44,c_29]) ).
cnf(c_46,plain,
$false,
inference(resolve,[status(thm)],[c_45,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 05:03:14 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 3822866 was started by sandbox2 on n011,
% 0.12/0.38 % Sat Sep 26 05:03:14 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.39
% 0.12/0.39 % From the command line: assign(max_seconds, 300).
% 0.12/0.40
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.40
% 0.12/0.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.40 % Length of proof is 24.
% 0.12/0.40 % Level of proof is 6.
% 0.12/0.40 % Maximum clause weight is 39.000.
% 0.12/0.40 % Given clauses 0.
% 0.12/0.40
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------