%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 : Wed Oct 7 10:36:39 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.22s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of formulae : 125 ( 110 unt; 0 typ; 0 def)
% Number of atoms : 471 ( 127 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 505 ( 79 ~; 92 |; 0 &; 334 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 65 ( 0 ^; 65 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_atlantic,type,
atlantic: $i ).
thf(tp_borders,type,
borders: $i > $i > $o ).
thf(tp_indian,type,
indian: $i ).
thf(tp_new_south_wales,type,
new_south_wales: $i ).
thf(tp_northern_territory,type,
northern_territory: $i ).
thf(tp_ocean,type,
ocean: $i > $o ).
thf(tp_pacific,type,
pacific: $i ).
thf(tp_queensland,type,
queensland: $i ).
thf(tp_south_australia,type,
south_australia: $i ).
thf(tp_southern,type,
southern: $i ).
thf(tp_state,type,
state: $i > $o ).
thf(tp_tasmania,type,
tasmania: $i ).
thf(tp_victoria,type,
victoria: $i ).
thf(tp_western_australia,type,
western_australia: $i ).
thf(1,axiom,
! [Y: $i,X: $i] :
( ~ ( borders @ Y @ X )
| ( borders @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_borders) ).
thf(2,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(3,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,negated_conjecture,
! [State1: $i,State2: $i,Ocean: $i] :
( ~ ( state @ State1 )
| ~ ( state @ State2 )
| ~ ( borders @ State1 @ State2 )
| ~ ( borders @ State1 @ Ocean )
| ~ ( borders @ State2 @ Ocean )
| ~ ( ocean @ Ocean ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_borders) ).
thf(5,negated_conjecture,
borders @ pacific @ tasmania,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific_tas) ).
thf(6,negated_conjecture,
borders @ pacific @ victoria,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific_vic) ).
thf(7,negated_conjecture,
borders @ pacific @ new_south_wales,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific_nsw) ).
thf(8,negated_conjecture,
borders @ pacific @ queensland,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific_qld) ).
thf(9,negated_conjecture,
borders @ southern @ tasmania,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_tas) ).
thf(10,negated_conjecture,
borders @ southern @ victoria,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_vic) ).
thf(11,negated_conjecture,
borders @ southern @ south_australia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_sa) ).
thf(12,negated_conjecture,
borders @ southern @ western_australia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_wa) ).
thf(13,negated_conjecture,
borders @ indian @ queensland,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_qld) ).
thf(14,negated_conjecture,
borders @ indian @ northern_territory,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_nt) ).
thf(15,negated_conjecture,
borders @ indian @ western_australia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_wa) ).
thf(16,negated_conjecture,
borders @ new_south_wales @ victoria,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsw_vic) ).
thf(17,negated_conjecture,
borders @ queensland @ new_south_wales,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qld_nsw) ).
thf(18,negated_conjecture,
borders @ northern_territory @ queensland,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nt_qld) ).
thf(19,negated_conjecture,
borders @ south_australia @ victoria,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sa_vic) ).
thf(20,negated_conjecture,
borders @ south_australia @ new_south_wales,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sa_nsw) ).
thf(21,negated_conjecture,
borders @ south_australia @ queensland,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sa_qld) ).
thf(22,negated_conjecture,
borders @ south_australia @ northern_territory,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sa_nt) ).
thf(23,negated_conjecture,
borders @ western_australia @ south_australia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wa_sa) ).
thf(24,negated_conjecture,
borders @ western_australia @ northern_territory,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wa_nt) ).
thf(25,negated_conjecture,
state @ tasmania,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tasmania) ).
thf(26,negated_conjecture,
state @ victoria,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victoria) ).
thf(27,negated_conjecture,
state @ new_south_wales,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',new_south_wales) ).
thf(28,negated_conjecture,
state @ south_australia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',south_australia) ).
thf(29,negated_conjecture,
state @ queensland,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',queensland) ).
thf(30,negated_conjecture,
state @ northern_territory,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',northern_territory) ).
thf(31,negated_conjecture,
state @ western_australia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',western_australia) ).
thf(32,negated_conjecture,
ocean @ southern,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern) ).
thf(33,negated_conjecture,
ocean @ pacific,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific) ).
thf(34,negated_conjecture,
ocean @ indian,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian) ).
thf(35,negated_conjecture,
ocean @ atlantic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atlantic) ).
thf(36,plain,
$false = $false,
inference(unfold_def,[status(thm)],[3]) ).
thf(37,plain,
( ( ! [Y: $i,X: $i] :
( ~ ( borders @ Y @ X )
| ( borders @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(38,plain,
( ( ! [State1: $i,State2: $i,Ocean: $i] :
( ~ ( state @ State1 )
| ~ ( state @ State2 )
| ~ ( borders @ State1 @ State2 )
| ~ ( borders @ State1 @ Ocean )
| ~ ( borders @ State2 @ Ocean )
| ~ ( ocean @ Ocean ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(39,plain,
( ( borders @ pacific @ tasmania )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(40,plain,
( ( borders @ pacific @ victoria )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(41,plain,
( ( borders @ pacific @ new_south_wales )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(42,plain,
( ( borders @ pacific @ queensland )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(43,plain,
( ( borders @ southern @ tasmania )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(44,plain,
( ( borders @ southern @ victoria )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(45,plain,
( ( borders @ southern @ south_australia )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(46,plain,
( ( borders @ southern @ western_australia )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(47,plain,
( ( borders @ indian @ queensland )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(48,plain,
( ( borders @ indian @ northern_territory )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(49,plain,
( ( borders @ indian @ western_australia )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(50,plain,
( ( borders @ new_south_wales @ victoria )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(51,plain,
( ( borders @ queensland @ new_south_wales )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(52,plain,
( ( borders @ northern_territory @ queensland )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(53,plain,
( ( borders @ south_australia @ victoria )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(54,plain,
( ( borders @ south_australia @ new_south_wales )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(55,plain,
( ( borders @ south_australia @ queensland )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(56,plain,
( ( borders @ south_australia @ northern_territory )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(57,plain,
( ( borders @ western_australia @ south_australia )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(58,plain,
( ( borders @ western_australia @ northern_territory )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(59,plain,
( ( state @ tasmania )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(60,plain,
( ( state @ victoria )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(61,plain,
( ( state @ new_south_wales )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(62,plain,
( ( state @ south_australia )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(63,plain,
( ( state @ queensland )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(64,plain,
( ( state @ northern_territory )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(65,plain,
( ( state @ western_australia )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(66,plain,
( ( ocean @ southern )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(67,plain,
( ( ocean @ pacific )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(68,plain,
( ( ocean @ indian )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(69,plain,
( ( ocean @ atlantic )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(70,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(71,plain,
( ( ocean @ atlantic )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(72,plain,
( ( ocean @ indian )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(73,plain,
( ( ocean @ pacific )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(74,plain,
( ( ocean @ southern )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(75,plain,
( ( state @ western_australia )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(76,plain,
( ( state @ northern_territory )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(77,plain,
( ( state @ queensland )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(78,plain,
( ( state @ south_australia )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(79,plain,
( ( state @ new_south_wales )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(80,plain,
( ( state @ victoria )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(81,plain,
( ( state @ tasmania )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(82,plain,
( ( borders @ western_australia @ northern_territory )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(83,plain,
( ( borders @ western_australia @ south_australia )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(84,plain,
( ( borders @ south_australia @ northern_territory )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(85,plain,
( ( borders @ south_australia @ queensland )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(86,plain,
( ( borders @ south_australia @ new_south_wales )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(87,plain,
( ( borders @ south_australia @ victoria )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(88,plain,
( ( borders @ northern_territory @ queensland )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(89,plain,
( ( borders @ queensland @ new_south_wales )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(90,plain,
( ( borders @ new_south_wales @ victoria )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(91,plain,
( ( borders @ indian @ western_australia )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(92,plain,
( ( borders @ indian @ northern_territory )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(93,plain,
( ( borders @ indian @ queensland )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(94,plain,
( ( borders @ southern @ western_australia )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(95,plain,
( ( borders @ southern @ south_australia )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(96,plain,
( ( borders @ southern @ victoria )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(97,plain,
( ( borders @ southern @ tasmania )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(98,plain,
( ( borders @ pacific @ queensland )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(99,plain,
( ( borders @ pacific @ new_south_wales )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(100,plain,
( ( borders @ pacific @ victoria )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(101,plain,
( ( borders @ pacific @ tasmania )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(102,plain,
( ( ! [State1: $i,State2: $i,Ocean: $i] :
( ~ ( state @ State1 )
| ~ ( state @ State2 )
| ~ ( borders @ State1 @ State2 )
| ~ ( borders @ State1 @ Ocean )
| ~ ( borders @ State2 @ Ocean )
| ~ ( ocean @ Ocean ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(103,plain,
( ( ! [Y: $i,X: $i] :
( ~ ( borders @ Y @ X )
| ( borders @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(104,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[70]) ).
thf(105,plain,
! [SV1: $i] :
( ( ! [SY5: $i,SY6: $i] :
( ~ ( state @ SV1 )
| ~ ( state @ SY5 )
| ~ ( borders @ SV1 @ SY5 )
| ~ ( borders @ SV1 @ SY6 )
| ~ ( borders @ SY5 @ SY6 )
| ~ ( ocean @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV2: $i] :
( ( ! [SY7: $i] :
( ~ ( borders @ SV2 @ SY7 )
| ( borders @ SY7 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(107,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY8: $i] :
( ~ ( state @ SV1 )
| ~ ( state @ SV3 )
| ~ ( borders @ SV1 @ SV3 )
| ~ ( borders @ SV1 @ SY8 )
| ~ ( borders @ SV3 @ SY8 )
| ~ ( ocean @ SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( borders @ SV2 @ SV4 )
| ( borders @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ~ ( state @ SV1 )
| ~ ( state @ SV3 )
| ~ ( borders @ SV1 @ SV3 )
| ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(111,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( borders @ SV2 @ SV4 ) )
= $true )
| ( ( borders @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(112,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( state @ SV1 ) )
= $true )
| ( ( ~ ( state @ SV3 )
| ~ ( borders @ SV1 @ SV3 )
| ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV4: $i,SV2: $i] :
( ( ( borders @ SV2 @ SV4 )
= $false )
| ( ( borders @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(114,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( state @ SV1 )
= $false )
| ( ( ~ ( state @ SV3 )
| ~ ( borders @ SV1 @ SV3 )
| ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(115,plain,
! [SV5: $i,SV1: $i,SV3: $i] :
( ( ( ~ ( state @ SV3 ) )
= $true )
| ( ( ~ ( borders @ SV1 @ SV3 )
| ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(116,plain,
! [SV5: $i,SV1: $i,SV3: $i] :
( ( ( state @ SV3 )
= $false )
| ( ( ~ ( borders @ SV1 @ SV3 )
| ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(117,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( borders @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(118,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( ~ ( borders @ SV1 @ SV5 )
| ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(119,plain,
! [SV3: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( borders @ SV1 @ SV5 ) )
= $true )
| ( ( ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true )
| ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(120,plain,
! [SV3: $i,SV5: $i,SV1: $i] :
( ( ( borders @ SV1 @ SV5 )
= $false )
| ( ( ~ ( borders @ SV3 @ SV5 )
| ~ ( ocean @ SV5 ) )
= $true )
| ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(121,plain,
! [SV1: $i,SV5: $i,SV3: $i] :
( ( ( ~ ( borders @ SV3 @ SV5 ) )
= $true )
| ( ( ~ ( ocean @ SV5 ) )
= $true )
| ( ( borders @ SV1 @ SV5 )
= $false )
| ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(122,plain,
! [SV1: $i,SV5: $i,SV3: $i] :
( ( ( borders @ SV3 @ SV5 )
= $false )
| ( ( ~ ( ocean @ SV5 ) )
= $true )
| ( ( borders @ SV1 @ SV5 )
= $false )
| ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(123,plain,
! [SV1: $i,SV3: $i,SV5: $i] :
( ( ( ocean @ SV5 )
= $false )
| ( ( borders @ SV3 @ SV5 )
= $false )
| ( ( borders @ SV1 @ SV5 )
= $false )
| ( ( borders @ SV1 @ SV3 )
= $false )
| ( ( state @ SV3 )
= $false )
| ( ( state @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(124,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[71,123,113,107,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72]) ).
thf(125,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n006.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 13:56:37 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.22
% 0.06/0.22 No.of.Axioms: 33
% 0.06/0.22
% 0.06/0.22 Length.of.Defs: 0
% 0.06/0.22
% 0.06/0.22 Contains.Choice.Funs: false
% 0.06/0.22 ..
% 0.06/0.22
% 0.06/0.22 ********************************
% 0.06/0.22 * All subproblems solved! *
% 0.06/0.22 ********************************
% 0.06/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:33,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:124,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.06/0.22
% 0.06/0.22 %**** Beginning of derivation protocol ****
% 0.06/0.22 % SZS output start CNFRefutation
% See solution above
% 0.06/0.22
% 0.06/0.22 %**** End of derivation protocol ****
% 0.06/0.22 %**** no. of clauses in derivation: 125 ****
% 0.06/0.22 %**** clause counter: 124 ****
% 0.06/0.22
% 0.06/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:33,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:124,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------