%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT031-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 07:11:13 PM UTC 2025
% Result : Unsatisfiable 95.98s 80.98s
% Output : CNFRefutation 96.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 36 ( 36 !; 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_56,axiom,
! [X,Y] : ( meet(X,Y) = meet(Y,X) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y,Z] : ( meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y] : ( join(X,meet(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X,Y,Z] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X,Y] : ( meet(X,join(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_68,axiom,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file(unknown,unknown) ).
tff(c_10,plain,
! [Y_8,X_7] : ( meet(Y_8,X_7) = meet(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1323,plain,
! [X_62,Y_63,Z_64] : ( join(meet(X_62,Y_63),meet(X_62,Z_64)) = meet(X_62,join(Y_63,Z_64)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_38084,plain,
! [Y_271,X_272,Z_273] : ( join(meet(Y_271,X_272),meet(X_272,Z_273)) = meet(X_272,join(Y_271,Z_273)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_1323]) ).
tff(c_8,plain,
! [X_5,Y_6] : ( join(X_5,meet(X_5,Y_6)) = X_5 ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_234,plain,
! [X_34,Y_35,Z_36] : ( join(join(X_34,Y_35),Z_36) = join(X_34,join(Y_35,Z_36)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_280,plain,
! [X_5,Y_6,Z_36] : ( join(X_5,join(meet(X_5,Y_6),Z_36)) = join(X_5,Z_36) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_234]) ).
tff(c_38268,plain,
! [Y_271,X_272,Z_273] : ( join(Y_271,meet(X_272,join(Y_271,Z_273))) = join(Y_271,meet(X_272,Z_273)) ),
inference(superposition,[status(thm),theory(equality)],[c_38084,c_280]) ).
tff(c_6,plain,
! [X_3,Y_4] : ( meet(X_3,join(X_3,Y_4)) = X_3 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_38689,plain,
! [X_3,Y_4,Z_273] : ( meet(join(X_3,Y_4),join(X_3,Z_273)) = join(X_3,meet(join(X_3,Y_4),Z_273)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_38084]) ).
tff(c_20,plain,
meet(join(xx,yy),join(xx,zz)) != join(xx,meet(yy,zz)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_265594,plain,
join(xx,meet(join(xx,yy),zz)) != join(xx,meet(yy,zz)),
inference(demodulation,[status(thm),theory(equality)],[c_38689,c_20]) ).
tff(c_265599,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_38268,c_10,c_265594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT031-1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n027.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 03:25:20 EDT 2025
% 0.14/0.34 % CPUTime :
% 95.98/80.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.98/80.98
% 95.98/80.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------