%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET044-5 : 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 08:37:39 PM UTC 2025
% Result : Unsatisfiable 2.95s 2.22s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ element > #nlpp > f > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(f,type,
f: $i > $i ).
tff(f_45,axiom,
! [Y,X] :
( element(Y,X)
| element(Y,f(X)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X] :
( ~ element(X,X)
| element(X,a) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X] :
( ~ element(X,a)
| element(X,X) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [Y,X] :
( ~ element(Y,f(X))
| ~ element(Y,X) ),
file(unknown,unknown) ).
tff(c_11,plain,
! [Y_9,X_10] :
( element(Y_9,f(X_10))
| element(Y_9,X_10) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_4,plain,
! [X_2] :
( element(X_2,a)
| ~ element(X_2,X_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_15,plain,
! [X_10] :
( element(f(X_10),a)
| element(f(X_10),X_10) ),
inference(resolution,[status(thm)],[c_11,c_4]) ).
tff(c_33,plain,
element(f(a),a),
inference(factorization,[status(thm),theory(equality)],[c_15]) ).
tff(c_2,plain,
! [X_1] :
( element(X_1,X_1)
| ~ element(X_1,a) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_47,plain,
element(f(a),f(a)),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_6,plain,
! [Y_3,X_4] :
( ~ element(Y_3,X_4)
| ~ element(Y_3,f(X_4)) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_51,plain,
~ element(f(a),a),
inference(resolution,[status(thm)],[c_47,c_6]) ).
tff(c_57,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET044-5 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 19:53:44 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.95/2.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/2.22
% 3.16/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------