%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ060+1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n021.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 08:25:12 PM UTC 2025
% Result : Theorem 2.97s 2.00s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 30 ( 10 ~; 7 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 19 ( 18 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ not_killed_by > likes > eats > food > alive > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(likes,type,
likes: ( $i * $i ) > $o ).
tff(food,type,
food: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(alive,type,
alive: $i > $o ).
tff(eats,type,
eats: ( $i * $i ) > $o ).
tff(not_killed_by,type,
not_killed_by: ( $i * $i ) > $o ).
tff(f_59,negated_conjecture,
~ ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ( ! [X] :
( food(X)
=> likes(John,X) )
& food(Apples)
& food(Chicken)
& ! [X] :
( ? [Y] :
( eats(Y,X)
& not_killed_by(Y,X) )
=> food(X) )
& eats(Bill,Peanuts)
& alive(Bill)
& ! [X] :
( eats(Bill,X)
=> eats(Sue,X) )
& ! [Y] :
( alive(Y)
=> ! [X] : not_killed_by(Y,X) ) )
=> likes(John,Peanuts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(c_19,plain,
! [X_17] :
( likes('#skF_2',X_17)
| ~ food(X_17) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2,plain,
~ likes('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_23,plain,
~ food('#skF_1'),
inference(resolution,[status(thm)],[c_19,c_2]) ).
tff(c_8,plain,
alive('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_10,plain,
eats('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_4,plain,
! [Y_14,X_16] :
( not_killed_by(Y_14,X_16)
| ~ alive(Y_14) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_30,plain,
! [X_21,Y_22] :
( food(X_21)
| ~ not_killed_by(Y_22,X_21)
| ~ eats(Y_22,X_21) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_35,plain,
! [X_23,Y_24] :
( food(X_23)
| ~ eats(Y_24,X_23)
| ~ alive(Y_24) ),
inference(resolution,[status(thm)],[c_4,c_30]) ).
tff(c_41,plain,
( food('#skF_1')
| ~ alive('#skF_3') ),
inference(resolution,[status(thm)],[c_10,c_35]) ).
tff(c_47,plain,
food('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_41]) ).
tff(c_49,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : PUZ060+1 : TPTP v9.0.0. Released v3.1.0.
% 0.02/0.10 % 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
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 8 17:20:28 EDT 2025
% 0.09/0.30 % CPUTime :
% 2.97/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.97/2.00
% 2.97/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------