%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG013-6 : 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/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 : n021.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 08:31:16 PM UTC 2025
% Result : Unsatisfiable 25.15s 14.60s
% Output : CNFRefutation 25.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 22 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 : 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 : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ associator > multiply > commutator > add > #nlpp > additive_inverse > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(associator,type,
associator: ( $i * $i * $i ) > $i ).
tff(commutator,type,
commutator: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_47,axiom,
! [X] : ( add(X,additive_identity) = X ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X] : ( multiply(additive_identity,X) = additive_identity ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X] : ( add(additive_inverse(X),X) = additive_identity ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [X,Y] : ( add(X,Y) = add(Y,X) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X,Y,Z] : ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X] : ( add(additive_identity,X) = X ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y,Z] : ( add(X,add(Y,Z)) = add(add(X,Y),Z) ),
file(unknown,unknown) ).
tff(f_87,axiom,
multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( add(X_2,additive_identity) = X_2 ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_6,plain,
! [X_3] : ( multiply(additive_identity,X_3) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_10,plain,
! [X_5] : ( add(additive_inverse(X_5),X_5) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_20,plain,
! [Y_15,X_14] : ( add(Y_15,X_14) = add(X_14,Y_15) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1365,plain,
! [X_68,Z_69,Y_70] : ( add(multiply(X_68,Z_69),multiply(Y_70,Z_69)) = multiply(add(X_68,Y_70),Z_69) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_8105,plain,
! [Y_140,Z_141,X_142] : ( add(multiply(Y_140,Z_141),multiply(X_142,Z_141)) = multiply(add(X_142,Y_140),Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_1365]) ).
tff(c_2,plain,
! [X_1] : ( add(additive_identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_244,plain,
! [X_37,Y_38,Z_39] : ( add(add(X_37,Y_38),Z_39) = add(X_37,add(Y_38,Z_39)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_287,plain,
! [X_5,Z_39] : ( add(additive_inverse(X_5),add(X_5,Z_39)) = add(additive_identity,Z_39) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_244]) ).
tff(c_310,plain,
! [X_5,Z_39] : ( add(additive_inverse(X_5),add(X_5,Z_39)) = Z_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_287]) ).
tff(c_78904,plain,
! [Y_427,Z_428,X_429] : ( add(additive_inverse(multiply(Y_427,Z_428)),multiply(add(X_429,Y_427),Z_428)) = multiply(X_429,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_8105,c_310]) ).
tff(c_79620,plain,
! [X_5,Z_428] : ( add(additive_inverse(multiply(X_5,Z_428)),multiply(additive_identity,Z_428)) = multiply(additive_inverse(X_5),Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_78904]) ).
tff(c_79708,plain,
! [X_5,Z_428] : ( multiply(additive_inverse(X_5),Z_428) = additive_inverse(multiply(X_5,Z_428)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_79620]) ).
tff(c_32,plain,
multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_79721,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79708,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG013-6 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 8 18:19:28 EDT 2025
% 0.14/0.34 % CPUTime :
% 25.15/14.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.15/14.61
% 25.15/14.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------