%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ008-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 : 300s
% DateTime : Sat Jun 21 05:23:08 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 50 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 53 ~; 44 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(banks_type,type,
banks: ( $i * $i * $i ) > $o ).
tff(boatoneast_type,type,
boatoneast: $i ).
tff(east_type,type,
east: ( $i * $i ) > $i ).
tff(c_type,type,
c: $i > $i ).
tff(n2_type,type,
n2: $i ).
tff(m_type,type,
m: $i > $i ).
tff(west_type,type,
west: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(boatonwest_type,type,
boatonwest: $i ).
tff(n0_type,type,
n0: $i ).
tff(n3_type,type,
n3: $i ).
tff(1,plain,
( banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
<=> banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',starting_configuration) ).
tff(3,plain,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) )
<=> ( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmmccc_x_to_mmmc_bcc) ).
tff(6,plain,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast),
inference(unit_resolution,[status(thm)],[6,3]) ).
tff(8,plain,
( ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) )
<=> ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',mmmc_bcc_to_bmmmcc_c) ).
tff(10,plain,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
inference(unit_resolution,[status(thm)],[10,7]) ).
tff(12,plain,
( ( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) )
<=> ( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmmcc_c_to_mmm_bccc) ).
tff(14,plain,
( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
inference(unit_resolution,[status(thm)],[14,11]) ).
tff(16,plain,
( ( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) )
<=> ( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',mmm_bccc_to_bmmmc_cc) ).
tff(18,plain,
( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
inference(unit_resolution,[status(thm)],[18,15]) ).
tff(20,plain,
( ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) )
<=> ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmmc_cc_to_mc_bmmcc) ).
tff(22,plain,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
inference(unit_resolution,[status(thm)],[22,19]) ).
tff(24,plain,
( ~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
<=> ~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_can_get_across) ).
tff(26,plain,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
( ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) )
<=> ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',bcc_mmmc_to_x_bmmmccc) ).
tff(29,plain,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest),
inference(unit_resolution,[status(thm)],[29,26]) ).
tff(31,plain,
( ( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) )
<=> ( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_bmmmcc_to_bcc_mmmc) ).
tff(33,plain,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
inference(unit_resolution,[status(thm)],[33,30]) ).
tff(35,plain,
( ( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) )
<=> ( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',bccc_mmm_to_c_bmmmcc) ).
tff(37,plain,
( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
inference(unit_resolution,[status(thm)],[37,34]) ).
tff(39,plain,
( ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) )
<=> ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_bmmmc_to_bccc_mmm) ).
tff(41,plain,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
inference(unit_resolution,[status(thm)],[41,38]) ).
tff(43,plain,
( ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) )
<=> ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',bmmcc_mc_to_cc_bmmmc) ).
tff(45,plain,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
inference(unit_resolution,[status(thm)],[45,42]) ).
tff(47,plain,
( ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) )
<=> ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',mc_bmmcc_to_bmmcc_mc) ).
tff(49,plain,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
$false,
inference(unit_resolution,[status(thm)],[49,46,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ008-2 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Fri Jun 20 02:39:18 EDT 2025
% 0.13/0.32 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output start Proof
% See solution above
% 0.19/0.38 % E exiting
%------------------------------------------------------------------------------