%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : FLD034-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 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 : n017.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 06:10:44 PM UTC 2025
% Result : Unsatisfiable 14.43s 4.71s
% Output : CNFRefutation 14.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_or_equal > equalish > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > m > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(m,type,
m: $i ).
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(f_236,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_238,axiom,
equalish(m,multiplicative_identity),
file(unknown,unknown) ).
tff(f_223,axiom,
! [X,Z,Y] :
( equalish(multiply(X,Z),multiply(Y,Z))
| ~ defined(Z)
| ~ equalish(X,Y) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X] :
( equalish(multiply(multiplicative_identity,X),X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_207,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file(unknown,unknown) ).
tff(f_240,axiom,
~ equalish(multiply(m,a),a),
file(unknown,unknown) ).
tff(c_56,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_60,plain,
equalish(m,multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_50,plain,
! [X_45,Y_47,Z_46] :
( ~ equalish(X_45,Y_47)
| ~ defined(Z_46)
| equalish(multiply(X_45,Z_46),multiply(Y_47,Z_46)) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_12,plain,
! [X_11] :
( ~ defined(X_11)
| equalish(multiply(multiplicative_identity,X_11),X_11) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_145,plain,
! [Y_76,Z_77,X_78] :
( ~ equalish(Y_76,Z_77)
| ~ equalish(X_78,Y_76)
| equalish(X_78,Z_77) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_1028,plain,
! [X_128,X_129] :
( ~ equalish(X_128,multiply(multiplicative_identity,X_129))
| equalish(X_128,X_129)
| ~ defined(X_129) ),
inference(resolution,[status(thm)],[c_12,c_145]) ).
tff(c_17962,plain,
! [X_423,Z_424] :
( equalish(multiply(X_423,Z_424),Z_424)
| ~ equalish(X_423,multiplicative_identity)
| ~ defined(Z_424) ),
inference(resolution,[status(thm)],[c_50,c_1028]) ).
tff(c_62,plain,
~ equalish(multiply(m,a),a),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_18084,plain,
( ~ equalish(m,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_17962,c_62]) ).
tff(c_18133,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_60,c_18084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD034-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % 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
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Apr 7 18:45:40 EDT 2025
% 0.14/0.33 % CPUTime :
% 14.43/4.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.55/4.71
% 14.55/4.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------