%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM025-2 : TPTP v9.0.0. Bugfixed v4.0.0.
% 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 : n023.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 07:55:03 PM UTC 2025
% Result : Unsatisfiable 2.90s 1.72s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ greater_or_equalish > equalish > predecessor_of_1st_minus_2nd > multiply > add > #nlpp > successor > n0 > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(greater_or_equalish,type,
greater_or_equalish: ( $i * $i ) > $o ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff(predecessor_of_1st_minus_2nd,type,
predecessor_of_1st_minus_2nd: ( $i * $i ) > $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(successor,type,
successor: $i > $i ).
tff(f_105,axiom,
~ greater_or_equalish(a,b),
file(unknown,unknown) ).
tff(f_103,axiom,
! [A] : greater_or_equalish(A,A),
file(unknown,unknown) ).
tff(f_88,axiom,
! [A,B,C] :
( greater_or_equalish(A,B)
| greater_or_equalish(C,A)
| ~ greater_or_equalish(C,B) ),
file(unknown,unknown) ).
tff(f_107,axiom,
~ greater_or_equalish(b,a),
file(unknown,unknown) ).
tff(c_30,plain,
~ greater_or_equalish(a,b),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_28,plain,
! [A_26] : greater_or_equalish(A_26,A_26),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_82,plain,
! [C_42,B_43,A_44] :
( ~ greater_or_equalish(C_42,B_43)
| greater_or_equalish(C_42,A_44)
| greater_or_equalish(A_44,B_43) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_102,plain,
! [A_45,A_46] :
( greater_or_equalish(A_45,A_46)
| greater_or_equalish(A_46,A_45) ),
inference(resolution,[status(thm)],[c_28,c_82]) ).
tff(c_32,plain,
~ greater_or_equalish(b,a),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_108,plain,
greater_or_equalish(a,b),
inference(resolution,[status(thm)],[c_102,c_32]) ).
tff(c_119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM025-2 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.08/0.13 % 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
% 0.13/0.34 % Computer : n023.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 09:58:54 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.90/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.90/1.72
% 2.90/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------