%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ022-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 : Wed Apr 9 08:25:03 PM UTC 2025
% Result : Unsatisfiable 3.40s 1.91s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ borders > state > ocean > #nlpp > western_australia > victoria > tasmania > southern > south_australia > queensland > pacific > northern_territory > new_south_wales > indian > atlantic
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(queensland,type,
queensland: $i ).
tff(new_south_wales,type,
new_south_wales: $i ).
tff(indian,type,
indian: $i ).
tff(ocean,type,
ocean: $i > $o ).
tff(victoria,type,
victoria: $i ).
tff(pacific,type,
pacific: $i ).
tff(western_australia,type,
western_australia: $i ).
tff(tasmania,type,
tasmania: $i ).
tff(southern,type,
southern: $i ).
tff(south_australia,type,
south_australia: $i ).
tff(atlantic,type,
atlantic: $i ).
tff(northern_territory,type,
northern_territory: $i ).
tff(borders,type,
borders: ( $i * $i ) > $o ).
tff(state,type,
state: $i > $o ).
tff(f_34,axiom,
state(northern_territory),
file(unknown,unknown) ).
tff(f_50,axiom,
borders(indian,northern_territory),
file(unknown,unknown) ).
tff(f_28,axiom,
! [Y,X] :
( ~ borders(Y,X)
| borders(X,Y) ),
file(unknown,unknown) ).
tff(f_40,axiom,
borders(western_australia,northern_territory),
file(unknown,unknown) ).
tff(f_33,axiom,
state(western_australia),
file(unknown,unknown) ).
tff(f_30,axiom,
ocean(indian),
file(unknown,unknown) ).
tff(f_49,axiom,
borders(indian,western_australia),
file(unknown,unknown) ).
tff(f_77,axiom,
! [State1,State2,Ocean] :
( ~ state(State1)
| ~ state(State2)
| ~ borders(State1,State2)
| ~ borders(State1,Ocean)
| ~ borders(State2,Ocean)
| ~ ocean(Ocean) ),
file(unknown,unknown) ).
tff(c_14,plain,
state(northern_territory),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_46,plain,
borders(indian,northern_territory),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_67,plain,
! [X_6,Y_7] :
( borders(X_6,Y_7)
| ~ borders(Y_7,X_6) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_110,plain,
borders(northern_territory,indian),
inference(resolution,[status(thm)],[c_46,c_67]) ).
tff(c_26,plain,
borders(western_australia,northern_territory),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_109,plain,
borders(northern_territory,western_australia),
inference(resolution,[status(thm)],[c_26,c_67]) ).
tff(c_12,plain,
state(western_australia),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
ocean(indian),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_44,plain,
borders(indian,western_australia),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_127,plain,
borders(western_australia,indian),
inference(resolution,[status(thm)],[c_44,c_67]) ).
tff(c_140,plain,
! [Ocean_8,State2_9,State1_10] :
( ~ ocean(Ocean_8)
| ~ borders(State2_9,Ocean_8)
| ~ borders(State1_10,Ocean_8)
| ~ borders(State1_10,State2_9)
| ~ state(State2_9)
| ~ state(State1_10) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_144,plain,
! [State1_10] :
( ~ ocean(indian)
| ~ borders(State1_10,indian)
| ~ borders(State1_10,western_australia)
| ~ state(western_australia)
| ~ state(State1_10) ),
inference(resolution,[status(thm)],[c_127,c_140]) ).
tff(c_387,plain,
! [State1_11] :
( ~ borders(State1_11,indian)
| ~ borders(State1_11,western_australia)
| ~ state(State1_11) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6,c_144]) ).
tff(c_393,plain,
( ~ borders(northern_territory,indian)
| ~ state(northern_territory) ),
inference(resolution,[status(thm)],[c_109,c_387]) ).
tff(c_406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_110,c_393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ022-1 : TPTP v9.0.0. Released v1.1.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n028.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 : 300
% 0.14/0.34 % DateTime : Tue Apr 8 17:09:50 EDT 2025
% 0.14/0.34 % CPUTime :
% 3.40/1.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/1.92
% 3.40/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------