%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 18:20:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 2 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 : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry_of_borders,axiom,
( ~ borders(Y,X)
| borders(X,Y) ) ).
cnf(pacific,negated_conjecture,
ocean(pacific) ).
cnf(new_south_wales,negated_conjecture,
state(new_south_wales) ).
cnf(victoria,negated_conjecture,
state(victoria) ).
cnf(nsw_vic,negated_conjecture,
borders(new_south_wales,victoria) ).
cnf(pacific_nsw,negated_conjecture,
borders(pacific,new_south_wales) ).
cnf(pacific_vic,negated_conjecture,
borders(pacific,victoria) ).
cnf(prove_borders,negated_conjecture,
( ~ state(State1)
| ~ state(State2)
| ~ borders(State1,State2)
| ~ borders(State1,Ocean)
| ~ borders(State2,Ocean)
| ~ ocean(Ocean) ) ).
cnf(refute_0_0,plain,
( ~ borders(pacific,victoria)
| borders(victoria,pacific) ),
inference(subst,[],[symmetry_of_borders:[bind(X,$fot(victoria)),bind(Y,$fot(pacific))]]) ).
cnf(refute_0_1,plain,
borders(victoria,pacific),
inference(resolve,[$cnf( borders(pacific,victoria) )],[pacific_vic,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ borders(new_south_wales,victoria)
| borders(victoria,new_south_wales) ),
inference(subst,[],[symmetry_of_borders:[bind(X,$fot(victoria)),bind(Y,$fot(new_south_wales))]]) ).
cnf(refute_0_3,plain,
borders(victoria,new_south_wales),
inference(resolve,[$cnf( borders(new_south_wales,victoria) )],[nsw_vic,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ borders(new_south_wales,X_5)
| ~ borders(victoria,X_5)
| ~ borders(victoria,new_south_wales)
| ~ ocean(X_5)
| ~ state(new_south_wales)
| ~ state(victoria) ),
inference(subst,[],[prove_borders:[bind(Ocean,$fot(X_5)),bind(State1,$fot(victoria)),bind(State2,$fot(new_south_wales))]]) ).
cnf(refute_0_5,plain,
( ~ borders(new_south_wales,X_5)
| ~ borders(victoria,X_5)
| ~ ocean(X_5)
| ~ state(new_south_wales)
| ~ state(victoria) ),
inference(resolve,[$cnf( borders(victoria,new_south_wales) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ borders(new_south_wales,X_5)
| ~ borders(victoria,X_5)
| ~ ocean(X_5)
| ~ state(victoria) ),
inference(resolve,[$cnf( state(new_south_wales) )],[new_south_wales,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ borders(new_south_wales,X_5)
| ~ borders(victoria,X_5)
| ~ ocean(X_5) ),
inference(resolve,[$cnf( state(victoria) )],[victoria,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ borders(new_south_wales,pacific)
| ~ borders(victoria,pacific)
| ~ ocean(pacific) ),
inference(subst,[],[refute_0_7:[bind(X_5,$fot(pacific))]]) ).
cnf(refute_0_9,plain,
( ~ borders(new_south_wales,pacific)
| ~ ocean(pacific) ),
inference(resolve,[$cnf( borders(victoria,pacific) )],[refute_0_1,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ borders(pacific,new_south_wales)
| borders(new_south_wales,pacific) ),
inference(subst,[],[symmetry_of_borders:[bind(X,$fot(new_south_wales)),bind(Y,$fot(pacific))]]) ).
cnf(refute_0_11,plain,
borders(new_south_wales,pacific),
inference(resolve,[$cnf( borders(pacific,new_south_wales) )],[pacific_nsw,refute_0_10]) ).
cnf(refute_0_12,plain,
~ ocean(pacific),
inference(resolve,[$cnf( borders(new_south_wales,pacific) )],[refute_0_11,refute_0_9]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( ocean(pacific) )],[pacific,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ022-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 03:00:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37
% 0.20/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.37
%------------------------------------------------------------------------------