%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG010-2 : 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/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 08:31:15 PM UTC 2025
% Result : Unsatisfiable 4.63s 2.78s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 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 : 3 ( 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 : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ associator > multiply > add > #nlpp > additive_inverse > cz > cy > cx > additive_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(associator,type,
associator: ( $i * $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(cx,type,
cx: $i ).
tff(cz,type,
cz: $i ).
tff(cy,type,
cy: $i ).
tff(f_73,axiom,
! [X,Y] : ( multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y)) ),
file(unknown,unknown) ).
tff(f_109,axiom,
! [Y,X] : ( multiply(multiply(Y,X),Y) != multiply(Y,multiply(X,Y)) ),
file(unknown,unknown) ).
tff(c_18,plain,
! [X_14,Y_15] : ( multiply(multiply(X_14,Y_15),Y_15) = multiply(X_14,multiply(Y_15,Y_15)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1017,plain,
! [Y_103,X_104] : ( multiply(multiply(Y_103,X_104),Y_103) != multiply(Y_103,multiply(X_104,Y_103)) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1051,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_18,c_1017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG010-2 : 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
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 18:19:47 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.63/2.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.63/2.78
% 4.63/2.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------