%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ013-1 : 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 : n025.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 2.50s 1.46s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 21 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > some_welsh_eat_not > some_welsh_eat > some_scotch_dance_not > some_scotch_dance > some_of_the_eleven_are_not_oiling > some_monitors_are_not_awake > some_monitors_are_awake > some_irish_fight_not > some_irish_fight > some_germans_play_not > some_germans_play > some_english_sing_not > some_english_sing
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(some_of_the_eleven_are_not_oiling,type,
some_of_the_eleven_are_not_oiling: $o ).
tff(some_welsh_eat_not,type,
some_welsh_eat_not: $o ).
tff(some_irish_fight_not,type,
some_irish_fight_not: $o ).
tff(some_germans_play_not,type,
some_germans_play_not: $o ).
tff(some_scotch_dance,type,
some_scotch_dance: $o ).
tff(some_welsh_eat,type,
some_welsh_eat: $o ).
tff(some_monitors_are_not_awake,type,
some_monitors_are_not_awake: $o ).
tff(some_english_sing,type,
some_english_sing: $o ).
tff(some_monitors_are_awake,type,
some_monitors_are_awake: $o ).
tff(some_english_sing_not,type,
some_english_sing_not: $o ).
tff(some_scotch_dance_not,type,
some_scotch_dance_not: $o ).
tff(some_irish_fight,type,
some_irish_fight: $o ).
tff(some_germans_play,type,
some_germans_play: $o ).
tff(f_164,axiom,
~ some_monitors_are_awake,
file(unknown,unknown) ).
tff(f_161,axiom,
some_english_sing,
file(unknown,unknown) ).
tff(f_162,axiom,
some_scotch_dance_not,
file(unknown,unknown) ).
tff(f_148,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file(unknown,unknown) ).
tff(f_135,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file(unknown,unknown) ).
tff(c_40,plain,
~ some_monitors_are_awake,
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_36,plain,
some_english_sing,
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_38,plain,
some_scotch_dance_not,
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_26,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_42,plain,
some_monitors_are_not_awake,
inference(negUnitSimplification,[status(thm)],[c_40,c_26]) ).
tff(c_20,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_45,plain,
some_irish_fight_not,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_42,c_20]) ).
tff(c_12,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_50,plain,
some_germans_play,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_45,c_12]) ).
tff(c_18,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_48,plain,
( ~ some_germans_play
| some_english_sing_not ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_38,c_18]) ).
tff(c_53,plain,
some_english_sing_not,
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48]) ).
tff(c_2,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_61,plain,
some_monitors_are_awake,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_53,c_2]) ).
tff(c_62,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : PUZ013-1 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.13 % 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
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 17:08:05 EDT 2025
% 0.13/0.33 % CPUTime :
% 2.50/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.47
% 2.50/1.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------