%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 18:27:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 15 RR)
% Number of literals : 28 ( 0 equ; 18 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ borders(u,v)
| borders(v,u) ),
file('PUZ022-1.p',unknown),
[] ).
cnf(4,axiom,
ocean(pacific),
file('PUZ022-1.p',unknown),
[] ).
cnf(10,axiom,
state(new_south_wales),
file('PUZ022-1.p',unknown),
[] ).
cnf(11,axiom,
state(victoria),
file('PUZ022-1.p',unknown),
[] ).
cnf(21,axiom,
borders(new_south_wales,victoria),
file('PUZ022-1.p',unknown),
[] ).
cnf(30,axiom,
borders(pacific,new_south_wales),
file('PUZ022-1.p',unknown),
[] ).
cnf(31,axiom,
borders(pacific,victoria),
file('PUZ022-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ ocean(u)
| ~ state(v)
| ~ state(w)
| ~ borders(w,v)
| ~ borders(v,u)
| ~ borders(w,u) ),
file('PUZ022-1.p',unknown),
[] ).
cnf(46,plain,
borders(victoria,pacific),
inference(res,[status(thm),theory(equality)],[31,1]),
[iquote('0:Res:31.0,1.0')] ).
cnf(47,plain,
borders(new_south_wales,pacific),
inference(res,[status(thm),theory(equality)],[30,1]),
[iquote('0:Res:30.0,1.0')] ).
cnf(78,plain,
( ~ ocean(u)
| ~ state(victoria)
| ~ state(new_south_wales)
| ~ borders(victoria,u)
| ~ borders(new_south_wales,u) ),
inference(res,[status(thm),theory(equality)],[21,33]),
[iquote('0:Res:21.0,33.3')] ).
cnf(100,plain,
( ~ ocean(u)
| ~ borders(victoria,u)
| ~ borders(new_south_wales,u) ),
inference(ssi,[status(thm)],[78,10,11]),
[iquote('0:SSi:78.2,78.1,10.0,11.0')] ).
cnf(157,plain,
( ~ ocean(pacific)
| ~ borders(new_south_wales,pacific) ),
inference(res,[status(thm),theory(equality)],[46,100]),
[iquote('0:Res:46.0,100.1')] ).
cnf(160,plain,
~ borders(new_south_wales,pacific),
inference(ssi,[status(thm)],[157,4]),
[iquote('0:SSi:157.0,4.0')] ).
cnf(161,plain,
$false,
inference(mrr,[status(thm)],[160,47]),
[iquote('0:MRR:160.0,47.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 02:21:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 84 clauses, backtracked 0 clauses, performed 0 splits and kept 64 clauses.
% 0.19/0.41 SPASS allocated 75695 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.03 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 2, length 15 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : symmetry_of_borders pacific new_south_wales victoria nsw_vic pacific_nsw pacific_vic prove_borders
% 0.19/0.41
%------------------------------------------------------------------------------