%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : FLD037-1 : 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 : n028.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 06:10:45 PM UTC 2025
% Result : Unsatisfiable 25.01s 12.54s
% Output : CNFRefutation 25.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 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 : 27 ( 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_or_equal > equalish > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
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(b,type,
b: $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_239,axiom,
~ equalish(a,additive_identity),
file(unknown,unknown) ).
tff(f_236,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_147,axiom,
! [X] :
( defined(multiplicative_inverse(X))
| ~ defined(X)
| equalish(X,additive_identity) ),
file(unknown,unknown) ).
tff(f_240,axiom,
equalish(a,b),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X] :
( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)
| ~ defined(X)
| equalish(X,additive_identity) ),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
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_207,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file(unknown,unknown) ).
tff(f_242,axiom,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file(unknown,unknown) ).
tff(c_60,plain,
~ equalish(a,additive_identity),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_56,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_30,plain,
! [X_23] :
( equalish(X_23,additive_identity)
| ~ defined(X_23)
| defined(multiplicative_inverse(X_23)) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_62,plain,
equalish(a,b),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_418,plain,
! [X_87] :
( equalish(X_87,additive_identity)
| ~ defined(X_87)
| equalish(multiply(X_87,multiplicative_inverse(X_87)),multiplicative_identity) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_44,plain,
! [Y_38,X_37] :
( ~ equalish(Y_38,X_37)
| equalish(X_37,Y_38) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_427,plain,
! [X_87] :
( equalish(multiplicative_identity,multiply(X_87,multiplicative_inverse(X_87)))
| equalish(X_87,additive_identity)
| ~ defined(X_87) ),
inference(resolution,[status(thm)],[c_418,c_44]) ).
tff(c_686,plain,
! [X_98,Y_99,Z_100] :
( ~ equalish(X_98,Y_99)
| ~ defined(Z_100)
| equalish(multiply(X_98,Z_100),multiply(Y_99,Z_100)) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_46,plain,
! [Y_41,Z_40,X_39] :
( ~ equalish(Y_41,Z_40)
| ~ equalish(X_39,Y_41)
| equalish(X_39,Z_40) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_8575,plain,
! [X_285,X_286,Z_287,Y_288] :
( ~ equalish(X_285,multiply(X_286,Z_287))
| equalish(X_285,multiply(Y_288,Z_287))
| ~ equalish(X_286,Y_288)
| ~ defined(Z_287) ),
inference(resolution,[status(thm)],[c_686,c_46]) ).
tff(c_77469,plain,
! [Y_841,X_842] :
( equalish(multiplicative_identity,multiply(Y_841,multiplicative_inverse(X_842)))
| ~ equalish(X_842,Y_841)
| ~ defined(multiplicative_inverse(X_842))
| equalish(X_842,additive_identity)
| ~ defined(X_842) ),
inference(resolution,[status(thm)],[c_427,c_8575]) ).
tff(c_64,plain,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_77516,plain,
( ~ equalish(a,b)
| ~ defined(multiplicative_inverse(a))
| equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_77469,c_64]) ).
tff(c_77545,plain,
( ~ defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_62,c_77516]) ).
tff(c_77546,plain,
~ defined(multiplicative_inverse(a)),
inference(negUnitSimplification,[status(thm)],[c_60,c_77545]) ).
tff(c_77550,plain,
( equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_30,c_77546]) ).
tff(c_77553,plain,
equalish(a,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_77550]) ).
tff(c_77555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_77553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD037-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 18:46:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 25.01/12.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.01/12.55
% 25.01/12.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------