%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT039-2 : TPTP v9.0.0. Released v2.4.0.
% 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 : 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 : 300s
% DateTime : Wed Apr 9 07:11:14 PM UTC 2025
% Result : Unsatisfiable 10.74s 4.12s
% Output : CNFRefutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > zz > yy > xx
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(zz,type,
zz: $i ).
tff(yy,type,
yy: $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(f_70,axiom,
join(xx,yy) = yy,
file(unknown,unknown) ).
tff(f_67,axiom,
! [X,Y,Z] : ( join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)) ),
file(unknown,unknown) ).
tff(f_72,axiom,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file(unknown,unknown) ).
tff(c_22,plain,
join(xx,yy) = yy,
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_703,plain,
! [X_49,Y_50,Z_51] : ( meet(join(X_49,Y_50),join(X_49,Z_51)) = join(X_49,meet(Y_50,Z_51)) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_806,plain,
! [Z_51] : ( meet(yy,join(xx,Z_51)) = join(xx,meet(yy,Z_51)) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_703]) ).
tff(c_24,plain,
meet(join(xx,yy),join(xx,zz)) != join(xx,meet(yy,zz)),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_25,plain,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_24]) ).
tff(c_15604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_806,c_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT039-2 : TPTP v9.0.0. Released v2.4.0.
% 0.08/0.09 % 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
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 8 03:26:19 EDT 2025
% 0.09/0.29 % CPUTime :
% 10.74/4.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.74/4.13
% 10.74/4.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------