%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : BOO005-4 : 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/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 : n013.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 05:45:01 PM UTC 2025
% Result : Unsatisfiable 2.99s 1.79s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > inverse > multiplicative_identity > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_57,axiom,
! [X] : ( add(X,inverse(X)) = multiplicative_identity ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X] : ( multiply(X,multiplicative_identity) = X ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X,Y] : ( multiply(X,Y) = multiply(Y,X) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y,Z] : ( add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ),
file(unknown,unknown) ).
tff(f_63,axiom,
add(a,multiplicative_identity) != multiplicative_identity,
file(unknown,unknown) ).
tff(c_14,plain,
! [X_13] : ( add(X_13,inverse(X_13)) = multiplicative_identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_12,plain,
! [X_12] : ( multiply(X_12,multiplicative_identity) = X_12 ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_156,plain,
! [Y_22,X_23] : ( multiply(Y_22,X_23) = multiply(X_23,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_194,plain,
! [X_12] : ( multiply(multiplicative_identity,X_12) = X_12 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_156]) ).
tff(c_263,plain,
! [X_25,Y_26,Z_27] : ( multiply(add(X_25,Y_26),add(X_25,Z_27)) = add(X_25,multiply(Y_26,Z_27)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_302,plain,
! [X_13,Z_27] : ( add(X_13,multiply(inverse(X_13),Z_27)) = multiply(multiplicative_identity,add(X_13,Z_27)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_263]) ).
tff(c_389,plain,
! [X_31,Z_32] : ( add(X_31,multiply(inverse(X_31),Z_32)) = add(X_31,Z_32) ),
inference(demodulation,[status(thm),theory(equality)],[c_194,c_302]) ).
tff(c_431,plain,
! [X_31] : ( add(X_31,inverse(X_31)) = add(X_31,multiplicative_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_389]) ).
tff(c_440,plain,
! [X_31] : ( add(X_31,multiplicative_identity) = multiplicative_identity ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_431]) ).
tff(c_18,plain,
add(a,multiplicative_identity) != multiplicative_identity,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_443,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_440,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO005-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.07/0.13 % 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
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 15:21:02 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.99/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.79
% 2.99/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------