%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN919+1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n016.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 10:08:26 PM UTC 2025
% Result : Theorem 2.49s 1.56s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 16 ( 6 ~; 4 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 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; 2 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(r,type,
r: ( $i * $i ) > $o ).
tff(f_42,negated_conjecture,
~ ( ( ! [X,Y] :
( r(X,Y)
=> r(Y,X) )
& ! [X,Y,Z] :
( ( r(X,Y)
& r(Y,Z) )
=> r(X,Z) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tff(c_2,plain,
~ r('#skF_1','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_4,plain,
r('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_9,plain,
! [Y_6,X_7] :
( r(Y_6,X_7)
| ~ r(X_7,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_12,plain,
r('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_4,c_9]) ).
tff(c_17,plain,
! [X_8,Z_9,Y_10] :
( r(X_8,Z_9)
| ~ r(Y_10,Z_9)
| ~ r(X_8,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_31,plain,
! [X_12] :
( r(X_12,'#skF_1')
| ~ r(X_12,'#skF_2') ),
inference(resolution,[status(thm)],[c_12,c_17]) ).
tff(c_37,plain,
r('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_4,c_31]) ).
tff(c_42,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN919+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.13 % 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 : n016.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 : Wed Apr 9 08:40:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.49/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.49/1.56
% 2.49/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------