%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET045+1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n029.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 : Theorem 2.69s 1.66s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 6 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 13 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ element > #nlpp > #skF_1 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(f_45,negated_conjecture,
~ ~ ? [Z] :
! [X] : element(X,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41) ).
tff(f_40,axiom,
! [Z] :
? [Y] :
! [X] :
( element(X,Y)
<=> ( element(X,Z)
& ~ element(X,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41_1) ).
tff(c_8,plain,
! [X_8] : element(X_8,'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_2,plain,
! [X_6,Z_1] :
( element(X_6,'#skF_1'(Z_1))
| element(X_6,X_6)
| ~ element(X_6,Z_1) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_29,plain,
! [Z_1] :
( ~ element('#skF_1'(Z_1),Z_1)
| element('#skF_1'(Z_1),'#skF_1'(Z_1)) ),
inference(factorization,[status(thm),theory(equality)],[c_2]) ).
tff(c_51,plain,
! [Z_17] :
( ~ element('#skF_1'(Z_17),Z_17)
| element('#skF_1'(Z_17),'#skF_1'(Z_17)) ),
inference(factorization,[status(thm),theory(equality)],[c_2]) ).
tff(c_4,plain,
! [X_6,Z_1] :
( ~ element(X_6,X_6)
| ~ element(X_6,'#skF_1'(Z_1)) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_59,plain,
! [Z_18,Z_19] :
( ~ element('#skF_1'(Z_18),'#skF_1'(Z_19))
| ~ element('#skF_1'(Z_18),Z_18) ),
inference(resolution,[status(thm)],[c_51,c_4]) ).
tff(c_71,plain,
! [Z_20] : ~ element('#skF_1'(Z_20),Z_20),
inference(resolution,[status(thm)],[c_29,c_59]) ).
tff(c_78,plain,
$false,
inference(resolution,[status(thm)],[c_8,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET045+1 : TPTP v9.0.0. Released v2.0.0.
% 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
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 19:53:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 2.69/1.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/1.66
% 2.69/1.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------