%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN002-1.007.008 : 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/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 : 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 10:01:50 PM UTC 2025
% Result : Unsatisfiable 2.50s 1.60s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 15 ( 15 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > #nlpp > f
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f,type,
f: $i > $i ).
tff(p,type,
p: $i > $o ).
tff(f_28,axiom,
! [X] :
( p(X)
| p(f(f(f(f(f(f(f(X)))))))) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X] :
( ~ p(X)
| ~ p(f(f(f(f(f(f(f(f(X))))))))) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] :
( p(f(f(f(f(f(f(f(X_1))))))))
| p(X_1) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_6,plain,
! [X_4] :
( ~ p(f(f(f(f(f(f(f(f(X_4)))))))))
| ~ p(X_4) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_10,plain,
! [X_4] :
( ~ p(X_4)
| p(f(X_4)) ),
inference(resolution,[status(thm)],[c_2,c_6]) ).
tff(c_11,plain,
! [X_5] :
( ~ p(X_5)
| p(f(X_5)) ),
inference(resolution,[status(thm)],[c_2,c_6]) ).
tff(c_4,plain,
! [X_2] :
( ~ p(f(f(f(f(f(f(f(f(X_2)))))))))
| ~ p(X_2) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_16,plain,
! [X_6] :
( ~ p(X_6)
| ~ p(f(f(f(f(f(f(f(X_6)))))))) ),
inference(resolution,[status(thm)],[c_11,c_4]) ).
tff(c_25,plain,
! [X_7] :
( ~ p(X_7)
| ~ p(f(f(f(f(f(f(X_7))))))) ),
inference(resolution,[status(thm)],[c_10,c_16]) ).
tff(c_43,plain,
! [X_9] :
( ~ p(X_9)
| ~ p(f(f(f(f(f(X_9)))))) ),
inference(resolution,[status(thm)],[c_10,c_25]) ).
tff(c_61,plain,
! [X_11] :
( ~ p(X_11)
| ~ p(f(f(f(f(X_11))))) ),
inference(resolution,[status(thm)],[c_10,c_43]) ).
tff(c_79,plain,
! [X_13] :
( ~ p(X_13)
| ~ p(f(f(f(X_13)))) ),
inference(resolution,[status(thm)],[c_10,c_61]) ).
tff(c_88,plain,
! [X_14] :
( ~ p(X_14)
| ~ p(f(f(X_14))) ),
inference(resolution,[status(thm)],[c_10,c_79]) ).
tff(c_97,plain,
! [X_15] :
( ~ p(X_15)
| ~ p(f(X_15)) ),
inference(resolution,[status(thm)],[c_10,c_88]) ).
tff(c_104,plain,
! [X_4] : ~ p(X_4),
inference(resolution,[status(thm)],[c_10,c_97]) ).
tff(c_111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_104,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SYN002-1.007.008 : TPTP v9.0.0. Released v1.0.0.
% 0.02/0.13 % 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
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 06:50:59 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.50/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.61
% 2.50/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------