%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : BOO003-4 : TPTP v9.0.0. Released v1.1.0.
% 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 : n020.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 05:45:00 PM UTC 2025
% Result : Unsatisfiable 3.22s 2.06s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 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 : 20 ( 20 !; 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_54,axiom,
! [X] : ( multiply(X,multiplicative_identity) = X ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : ( add(X,inverse(X)) = multiplicative_identity ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] : ( add(X,additive_identity) = X ),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X] : ( multiply(X,inverse(X)) = additive_identity ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y,Z] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
file(unknown,unknown) ).
tff(f_62,axiom,
multiply(a,a) != a,
file(unknown,unknown) ).
tff(c_12,plain,
! [X_12] : ( multiply(X_12,multiplicative_identity) = X_12 ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_14,plain,
! [X_13] : ( add(X_13,inverse(X_13)) = multiplicative_identity ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_10,plain,
! [X_11] : ( add(X_11,additive_identity) = X_11 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_16,plain,
! [X_14] : ( multiply(X_14,inverse(X_14)) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_321,plain,
! [X_28,Y_29,Z_30] : ( add(multiply(X_28,Y_29),multiply(X_28,Z_30)) = multiply(X_28,add(Y_29,Z_30)) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_375,plain,
! [X_14,Y_29] : ( multiply(X_14,add(Y_29,inverse(X_14))) = add(multiply(X_14,Y_29),additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_321]) ).
tff(c_747,plain,
! [X_39,Y_40] : ( multiply(X_39,add(Y_40,inverse(X_39))) = multiply(X_39,Y_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_375]) ).
tff(c_811,plain,
! [X_13] : ( multiply(X_13,multiplicative_identity) = multiply(X_13,X_13) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_747]) ).
tff(c_827,plain,
! [X_13] : ( multiply(X_13,X_13) = X_13 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_811]) ).
tff(c_18,plain,
multiply(a,a) != a,
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_827,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO003-4 : TPTP v9.0.0. Released v1.1.0.
% 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
% 0.12/0.34 % Computer : n020.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 : Mon Apr 7 15:20:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.22/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/2.06
% 3.22/2.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------