%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:03:06 AM UTC 2026
% Result : Theorem 6.14s 2.97s
% Output : CNFRefutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 8 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 19 ( 18 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ axis_subsumes > axis_conflict > axis_compatible > in_ropen > in_open > in_lopen > in_closed > less > leq > val > is_verdict > box_verdict > #nlpp > v600 > v200 > v0 > unknown > conflict > compatible > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(is_verdict,type,
is_verdict: $i > $o ).
tff(axis_conflict,type,
axis_conflict: ( $i * $i * $i * $i ) > $o ).
tff(v0,type,
v0: $i ).
tff(in_lopen,type,
in_lopen: ( $i * $i * $i ) > $o ).
tff(box_verdict,type,
box_verdict: ( $i * $i ) > $i ).
tff(unknown,type,
unknown: $i ).
tff(in_ropen,type,
in_ropen: ( $i * $i * $i ) > $o ).
tff(in_open,type,
in_open: ( $i * $i * $i ) > $o ).
tff(val,type,
val: $i > $o ).
tff(v200,type,
v200: $i ).
tff(compatible,type,
compatible: $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff(in_closed,type,
in_closed: ( $i * $i * $i ) > $o ).
tff(axis_subsumes,type,
axis_subsumes: ( $i * $i * $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(v600,type,
v600: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i ) > $i ).
tff(axis_compatible,type,
axis_compatible: ( $i * $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(conflict,type,
conflict: $i ).
tff(f_78,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_def) ).
tff(f_270,axiom,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
tff(f_98,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_less_trans) ).
tff(f_162,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( less(A,X)
& leq(X,B) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_lopen) ).
tff(f_282,negated_conjecture,
~ ? [X] : in_lopen(X,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl500) ).
tff(c_10,plain,
! [Y_8] : leq(Y_8,Y_8),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_100,plain,
less(v0,v600),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_503,plain,
! [X_117,Z_118,Y_119] :
( less(X_117,Z_118)
| ~ less(Y_119,Z_118)
| ~ leq(X_117,Y_119) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_530,plain,
! [X_117] :
( less(X_117,v600)
| ~ leq(X_117,v0) ),
inference(resolution,[status(thm)],[c_100,c_503]) ).
tff(c_787,plain,
! [X_136,A_137,B_138] :
( in_lopen(X_136,A_137,B_138)
| ~ leq(X_136,B_138)
| ~ less(A_137,X_136) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_110,plain,
! [X_64] : ~ in_lopen(X_64,v0,v600),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_801,plain,
! [X_139] :
( ~ leq(X_139,v600)
| ~ less(v0,X_139) ),
inference(resolution,[status(thm)],[c_787,c_110]) ).
tff(c_809,plain,
( ~ leq(v600,v600)
| ~ leq(v0,v0) ),
inference(resolution,[status(thm)],[c_530,c_801]) ).
tff(c_854,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_10,c_809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % 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
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:23:22 UTC 2026
% 0.03/0.36 % CPUTime :
% 6.14/2.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.14/2.98
% 6.14/2.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------