%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 08:54:19 AM UTC 2026
% Result : Unsatisfiable 0.15s 5.40s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 21 unt; 0 nHn; 27 RR)
% Number of literals : 41 ( 0 equ; 16 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry_of_borders,axiom,
( borders(X,Y)
| ~ borders(Y,X) ),
file('theBenchmark.p',symmetry_of_borders) ).
cnf(southern,negated_conjecture,
ocean(southern),
file('theBenchmark.p',southern) ).
cnf(south_australia,negated_conjecture,
state(south_australia),
file('theBenchmark.p',south_australia) ).
cnf(victoria,negated_conjecture,
state(victoria),
file('theBenchmark.p',victoria) ).
cnf(sa_vic,negated_conjecture,
borders(south_australia,victoria),
file('theBenchmark.p',sa_vic) ).
cnf(southern_sa,negated_conjecture,
borders(southern,south_australia),
file('theBenchmark.p',southern_sa) ).
cnf(southern_vic,negated_conjecture,
borders(southern,victoria),
file('theBenchmark.p',southern_vic) ).
cnf(prove_borders,negated_conjecture,
( ~ ocean(Ocean)
| ~ borders(State2,Ocean)
| ~ borders(State1,Ocean)
| ~ borders(State1,State2)
| ~ state(State2)
| ~ state(State1) ),
file('theBenchmark.p',prove_borders) ).
cnf(t1,plain,
( ~ state(south_australia)
| ~ borders(victoria,south_australia)
| ~ borders(victoria,southern)
| ~ borders(south_australia,southern)
| ~ ocean(southern)
| ~ state(victoria) ),
inference(start,[status(thm),parent(0:0)],[prove_borders]) ).
cnf(t2,plain,
state(victoria),
inference(extension,[status(thm),parent(t1:1)],[victoria]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
ocean(southern),
inference(extension,[status(thm),parent(t1:2)],[southern]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
( ~ borders(southern,south_australia)
| borders(south_australia,southern) ),
inference(extension,[status(thm),parent(t1:3)],[symmetry_of_borders]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:3]) ).
cnf(t8,plain,
borders(southern,south_australia),
inference(extension,[status(thm),parent(t6:2)],[southern_sa]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ borders(southern,victoria)
| borders(victoria,southern) ),
inference(extension,[status(thm),parent(t1:4)],[symmetry_of_borders]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:4]) ).
cnf(t12,plain,
borders(southern,victoria),
inference(extension,[status(thm),parent(t10:2)],[southern_vic]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ borders(south_australia,victoria)
| borders(victoria,south_australia) ),
inference(extension,[status(thm),parent(t1:5)],[symmetry_of_borders]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:5]) ).
cnf(t16,plain,
borders(south_australia,victoria),
inference(extension,[status(thm),parent(t14:2)],[sa_vic]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
state(south_australia),
inference(extension,[status(thm),parent(t1:6)],[south_australia]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t1:6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n007.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 19:54:10 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.15/5.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------