%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : FLD005-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 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 : n002.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 06:10:36 PM UTC 2025
% Result : Unsatisfiable 17.39s 7.44s
% Output : CNFRefutation 17.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 39 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_188,axiom,
! [X,Y] :
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [W,U,Z,X,Y,V] :
( sum(X,V,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W) ),
file(unknown,unknown) ).
tff(f_253,axiom,
! [X] : ~ sum(a,X,b),
file(unknown,unknown) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_30,plain,
! [X_51] :
( ~ defined(X_51)
| defined(additive_inverse(X_51)) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_8,plain,
! [X_14] :
( ~ defined(X_14)
| sum(additive_inverse(X_14),X_14,additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_73,plain,
! [X_86,Y_87,Z_88] :
( ~ sum(X_86,Y_87,Z_88)
| sum(Y_87,X_86,Z_88) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_78,plain,
! [X_14] :
( sum(X_14,additive_inverse(X_14),additive_identity)
| ~ defined(X_14) ),
inference(resolution,[status(thm)],[c_8,c_73]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_120,plain,
! [Y_102,X_103] :
( ~ defined(Y_102)
| ~ defined(X_103)
| sum(X_103,Y_102,add(X_103,Y_102)) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_10,plain,
! [X_16,Y_15,Z_17] :
( ~ sum(X_16,Y_15,Z_17)
| sum(Y_15,X_16,Z_17) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_123,plain,
! [Y_102,X_103] :
( sum(Y_102,X_103,add(X_103,Y_102))
| ~ defined(Y_102)
| ~ defined(X_103) ),
inference(resolution,[status(thm)],[c_120,c_10]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_275,plain,
! [U_130,W_132,Y_128,V_129,Z_127,X_131] :
( ~ sum(U_130,Z_127,W_132)
| ~ sum(Y_128,Z_127,V_129)
| ~ sum(X_131,Y_128,U_130)
| sum(X_131,V_129,W_132) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2302,plain,
! [Y_244,X_245,V_246,X_247] :
( ~ sum(Y_244,X_245,V_246)
| ~ sum(X_247,Y_244,additive_identity)
| sum(X_247,V_246,X_245)
| ~ defined(X_245) ),
inference(resolution,[status(thm)],[c_6,c_275]) ).
tff(c_35592,plain,
! [X_582,Y_583,X_584] :
( ~ sum(X_582,Y_583,additive_identity)
| sum(X_582,add(X_584,Y_583),X_584)
| ~ defined(Y_583)
| ~ defined(X_584) ),
inference(resolution,[status(thm)],[c_123,c_2302]) ).
tff(c_58,plain,
! [X_74] : ~ sum(a,X_74,b),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_35656,plain,
! [Y_583] :
( ~ sum(a,Y_583,additive_identity)
| ~ defined(Y_583)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_35592,c_58]) ).
tff(c_35690,plain,
! [Y_585] :
( ~ sum(a,Y_585,additive_identity)
| ~ defined(Y_585) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_35656]) ).
tff(c_35734,plain,
( ~ defined(additive_inverse(a))
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_78,c_35690]) ).
tff(c_35765,plain,
~ defined(additive_inverse(a)),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_35734]) ).
tff(c_35768,plain,
~ defined(a),
inference(resolution,[status(thm)],[c_30,c_35765]) ).
tff(c_35772,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_35768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : FLD005-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.14 % 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
% 0.14/0.35 % Computer : n002.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 18:39:16 EDT 2025
% 0.14/0.35 % CPUTime :
% 17.39/7.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.39/7.44
% 17.39/7.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------