%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ011-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n004.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 08:25:00 PM UTC 2025
% Result : Unsatisfiable 2.99s 1.72s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ borders > south_american > ocean > asian > african > #nlpp > zaire > venesuela > uruguay > tanzania > somalia > pakistan > nigeria > kenya > iran > indian > india > brazil > atlantic > angola
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(asian,type,
asian: $i > $o ).
tff(pakistan,type,
pakistan: $i ).
tff(india,type,
india: $i ).
tff(nigeria,type,
nigeria: $i ).
tff(uruguay,type,
uruguay: $i ).
tff(african,type,
african: $i > $o ).
tff(zaire,type,
zaire: $i ).
tff(indian,type,
indian: $i ).
tff(venesuela,type,
venesuela: $i ).
tff(kenya,type,
kenya: $i ).
tff(ocean,type,
ocean: $i > $o ).
tff(somalia,type,
somalia: $i ).
tff(tanzania,type,
tanzania: $i ).
tff(brazil,type,
brazil: $i ).
tff(angola,type,
angola: $i ).
tff(south_american,type,
south_american: $i > $o ).
tff(atlantic,type,
atlantic: $i ).
tff(borders,type,
borders: ( $i * $i ) > $o ).
tff(iran,type,
iran: $i ).
tff(f_44,axiom,
african(somalia),
file(unknown,unknown) ).
tff(f_35,axiom,
borders(indian,somalia),
file(unknown,unknown) ).
tff(f_25,axiom,
ocean(indian),
file(unknown,unknown) ).
tff(f_49,axiom,
asian(iran),
file(unknown,unknown) ).
tff(f_34,axiom,
borders(indian,iran),
file(unknown,unknown) ).
tff(f_64,axiom,
! [Ocean,African,Asian] :
( ~ ocean(Ocean)
| ~ borders(Ocean,African)
| ~ african(African)
| ~ borders(Ocean,Asian)
| ~ asian(Asian) ),
file(unknown,unknown) ).
tff(c_42,plain,
african(somalia),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_24,plain,
borders(indian,somalia),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_4,plain,
ocean(indian),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_52,plain,
asian(iran),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_22,plain,
borders(indian,iran),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_55,plain,
! [Asian_4,Ocean_5,African_6] :
( ~ asian(Asian_4)
| ~ borders(Ocean_5,Asian_4)
| ~ african(African_6)
| ~ borders(Ocean_5,African_6)
| ~ ocean(Ocean_5) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_67,plain,
! [African_6] :
( ~ asian(iran)
| ~ african(African_6)
| ~ borders(indian,African_6)
| ~ ocean(indian) ),
inference(resolution,[status(thm)],[c_22,c_55]) ).
tff(c_116,plain,
! [African_7] :
( ~ african(African_7)
| ~ borders(indian,African_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_52,c_67]) ).
tff(c_119,plain,
~ african(somalia),
inference(resolution,[status(thm)],[c_24,c_116]) ).
tff(c_138,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ011-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 8 17:07:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.99/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.73
% 2.99/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------