%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP172-2 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n011.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 06:25:26 PM UTC 2025
% Result : Unsatisfiable 9.62s 3.43s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > least_upper_bound > greatest_lower_bound > #nlpp > inverse > identity > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(greatest_lower_bound,type,
greatest_lower_bound: ( $i * $i ) > $i ).
tff(least_upper_bound,type,
least_upper_bound: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(f_118,axiom,
least_upper_bound(identity,multiply(a,b)) != multiply(a,b),
file(unknown,unknown) ).
tff(f_116,axiom,
greatest_lower_bound(identity,b) = identity,
file(unknown,unknown) ).
tff(f_89,axiom,
! [X,Y] : ( greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ),
file(unknown,unknown) ).
tff(f_115,axiom,
greatest_lower_bound(identity,a) = identity,
file(unknown,unknown) ).
tff(f_101,axiom,
! [X,Y] : ( least_upper_bound(X,greatest_lower_bound(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [Y,Z,X] : ( multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X,Y] : ( least_upper_bound(X,Y) = least_upper_bound(Y,X) ),
file(unknown,unknown) ).
tff(f_103,axiom,
! [X,Y] : ( greatest_lower_bound(X,least_upper_bound(X,Y)) = X ),
file(unknown,unknown) ).
tff(f_93,axiom,
! [X,Y,Z] : ( greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z) ),
file(unknown,unknown) ).
tff(f_97,axiom,
! [X] : ( least_upper_bound(X,X) = X ),
file(unknown,unknown) ).
tff(f_95,axiom,
! [X,Y,Z] : ( least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ),
file(unknown,unknown) ).
tff(c_36,plain,
least_upper_bound(identity,multiply(a,b)) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_34,plain,
greatest_lower_bound(identity,b) = identity,
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_112,plain,
! [Y_40,X_41] : ( greatest_lower_bound(Y_40,X_41) = greatest_lower_bound(X_41,Y_40) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_32,plain,
greatest_lower_bound(identity,a) = identity,
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_127,plain,
greatest_lower_bound(a,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_112,c_32]) ).
tff(c_200,plain,
! [X_44,Y_45] : ( least_upper_bound(X_44,greatest_lower_bound(X_44,Y_45)) = X_44 ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_218,plain,
least_upper_bound(a,identity) = a,
inference(superposition,[status(thm),theory(equality)],[c_127,c_200]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1263,plain,
! [Y_77,X_78,Z_79] : ( least_upper_bound(multiply(Y_77,X_78),multiply(Z_79,X_78)) = multiply(least_upper_bound(Y_77,Z_79),X_78) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_10666,plain,
! [Y_167,X_168] : ( multiply(least_upper_bound(Y_167,identity),X_168) = least_upper_bound(multiply(Y_167,X_168),X_168) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1263]) ).
tff(c_10,plain,
! [Y_9,X_8] : ( least_upper_bound(Y_9,X_8) = least_upper_bound(X_8,Y_9) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_173,plain,
! [X_42,Y_43] : ( greatest_lower_bound(X_42,least_upper_bound(X_42,Y_43)) = X_42 ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_182,plain,
! [X_8,Y_9] : ( greatest_lower_bound(X_8,least_upper_bound(Y_9,X_8)) = X_8 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_173]) ).
tff(c_10928,plain,
! [X_169,Y_170] : ( greatest_lower_bound(X_169,multiply(least_upper_bound(Y_170,identity),X_169)) = X_169 ),
inference(superposition,[status(thm),theory(equality)],[c_10666,c_182]) ).
tff(c_11114,plain,
! [X_171] : ( greatest_lower_bound(X_171,multiply(a,X_171)) = X_171 ),
inference(superposition,[status(thm),theory(equality)],[c_218,c_10928]) ).
tff(c_681,plain,
! [X_59,Y_60,Z_61] : ( greatest_lower_bound(greatest_lower_bound(X_59,Y_60),Z_61) = greatest_lower_bound(X_59,greatest_lower_bound(Y_60,Z_61)) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_777,plain,
! [Z_61] : ( greatest_lower_bound(identity,greatest_lower_bound(b,Z_61)) = greatest_lower_bound(identity,Z_61) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_681]) ).
tff(c_11170,plain,
greatest_lower_bound(identity,multiply(a,b)) = greatest_lower_bound(identity,b),
inference(superposition,[status(thm),theory(equality)],[c_11114,c_777]) ).
tff(c_11234,plain,
greatest_lower_bound(identity,multiply(a,b)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_11170]) ).
tff(c_8,plain,
! [Y_7,X_6] : ( greatest_lower_bound(Y_7,X_6) = greatest_lower_bound(X_6,Y_7) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_16,plain,
! [X_16] : ( least_upper_bound(X_16,X_16) = X_16 ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_20,plain,
! [X_18,Y_19] : ( least_upper_bound(X_18,greatest_lower_bound(X_18,Y_19)) = X_18 ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_367,plain,
! [X_50,Y_51,Z_52] : ( least_upper_bound(least_upper_bound(X_50,Y_51),Z_52) = least_upper_bound(X_50,least_upper_bound(Y_51,Z_52)) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_419,plain,
! [X_18,Y_19,Z_52] : ( least_upper_bound(X_18,least_upper_bound(greatest_lower_bound(X_18,Y_19),Z_52)) = least_upper_bound(X_18,Z_52) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_367]) ).
tff(c_3553,plain,
! [Y_115,X_116,Y_117] : ( least_upper_bound(Y_115,least_upper_bound(X_116,Y_117)) = least_upper_bound(X_116,least_upper_bound(Y_117,Y_115)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_367]) ).
tff(c_4333,plain,
! [X_122,X_123] : ( least_upper_bound(X_122,least_upper_bound(X_123,X_122)) = least_upper_bound(X_123,X_122) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_3553]) ).
tff(c_4474,plain,
! [Z_52,Y_19] : ( least_upper_bound(greatest_lower_bound(Z_52,Y_19),Z_52) = least_upper_bound(Z_52,Z_52) ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_4333]) ).
tff(c_4716,plain,
! [Z_124,Y_125] : ( least_upper_bound(greatest_lower_bound(Z_124,Y_125),Z_124) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4474]) ).
tff(c_4855,plain,
! [Y_7,X_6] : ( least_upper_bound(greatest_lower_bound(Y_7,X_6),X_6) = X_6 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_4716]) ).
tff(c_12791,plain,
least_upper_bound(identity,multiply(a,b)) = multiply(a,b),
inference(superposition,[status(thm),theory(equality)],[c_11234,c_4855]) ).
tff(c_12831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_12791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP172-2 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.10/0.13 % 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 : n011.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 : Mon Apr 7 21:30:48 EDT 2025
% 0.14/0.34 % CPUTime :
% 9.62/3.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.62/3.44
% 9.62/3.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------