%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : BOO006-4 : 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 : n008.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 3.18s 1.92s
% Output : CNFRefutation 3.44s
% 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_58,axiom,
! [X] : ( multiply(X,inverse(X)) = additive_identity ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] : ( add(X,additive_identity) = X ),
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,additive_identity) != additive_identity,
file(unknown,unknown) ).
tff(c_16,plain,
! [X_14] : ( multiply(X_14,inverse(X_14)) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_51,plain,
! [Y_19,X_20] : ( add(Y_19,X_20) = add(X_20,Y_19) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_10,plain,
! [X_11] : ( add(X_11,additive_identity) = X_11 ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_67,plain,
! [X_20] : ( add(additive_identity,X_20) = X_20 ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_10]) ).
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_800,plain,
! [X_39] : ( multiply(X_39,inverse(X_39)) = multiply(X_39,additive_identity) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_747]) ).
tff(c_826,plain,
! [X_39] : ( multiply(X_39,additive_identity) = additive_identity ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_800]) ).
tff(c_18,plain,
multiply(a,additive_identity) != additive_identity,
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_826,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO006-4 : TPTP v9.0.0. Released v1.1.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 7 15:21:32 EDT 2025
% 0.14/0.35 % CPUTime :
% 3.18/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/1.93
% 3.18/1.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------