%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ROB002-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n004.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 08:33:50 PM UTC 2025
% Result : Unsatisfiable 6.70s 2.66s
% Output : CNFRefutation 6.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 6 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ add > #nlpp > negate > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(negate,type,
negate: $i > $i ).
tff(f_55,axiom,
! [X] : ( negate(negate(X)) = X ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X,Y] : ( negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file(unknown,unknown) ).
tff(c_8,plain,
! [X_8] : ( negate(negate(X_8)) = X_8 ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_2,plain,
! [Y_2,X_1] : ( add(Y_2,X_1) = add(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_231,plain,
! [X_18,Y_19] : ( negate(add(negate(add(X_18,Y_19)),negate(add(X_18,negate(Y_19))))) = X_18 ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_889,plain,
! [Y_29,Y_30] : ( negate(add(negate(add(Y_29,Y_30)),negate(add(negate(Y_30),Y_29)))) = Y_29 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_231]) ).
tff(c_3391,plain,
! [Y_53,X_54] : ( negate(add(negate(add(Y_53,X_54)),negate(add(negate(Y_53),X_54)))) = X_54 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_889]) ).
tff(c_3452,plain,
! [Y_53,X_54] : ( add(negate(add(Y_53,X_54)),negate(add(negate(Y_53),X_54))) = negate(X_54) ),
inference(superposition,[status(thm),theory(equality)],[c_3391,c_8]) ).
tff(c_10,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4518,plain,
negate(negate(b)) != b,
inference(demodulation,[status(thm),theory(equality)],[c_3452,c_10]) ).
tff(c_4522,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB002-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n004.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 18:57:07 EDT 2025
% 0.12/0.34 % CPUTime :
% 6.70/2.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.70/2.67
% 6.70/2.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------