%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT082+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/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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:03:05 AM UTC 2026
% Result : Theorem 6.21s 2.79s
% Output : CNFRefutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 29 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 66 ( 31 ~; 6 |; 27 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 17 ( 17 usr; 13 con; 0-4 aty)
% Number of variables : 16 ( 13 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ axis_subsumes > axis_conflict > axis_compatible > in_ropen > in_open > in_lopen > in_closed > less > leq > val > is_verdict > box_verdict > #nlpp > v601 > v600 > v500 > v32 > v300 > v16 > v0 > unknown > conflict > compatible > #skF_5 > #skF_2 > #skF_6 > #skF_4 > #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(v32,type,
v32: $i ).
tff(in_open,type,
in_open: ( $i * $i * $i ) > $o ).
tff(val,type,
val: $i > $o ).
tff(v500,type,
v500: $i ).
tff(compatible,type,
compatible: $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v300,type,
v300: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(in_closed,type,
in_closed: ( $i * $i * $i ) > $o ).
tff(axis_subsumes,type,
axis_subsumes: ( $i * $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(v600,type,
v600: $i ).
tff(v16,type,
v16: $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(v601,type,
v601: $i ).
tff(conflict,type,
conflict: $i ).
tff(f_373,negated_conjecture,
~ ~ ? [X,Y,Z] :
( in_closed(X,v600,v600)
& in_closed(X,v601,v601)
& less(v300,Y)
& in_open(Y,v0,v500)
& leq(v16,Z)
& in_lopen(Z,v0,v32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl411) ).
tff(f_160,axiom,
! [X,A,B] :
( in_closed(X,A,B)
<=> ( leq(A,X)
& leq(X,B) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_closed) ).
tff(f_90,axiom,
! [X,Y] :
( ( leq(X,Y)
& leq(Y,X) )
=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
tff(f_359,axiom,
( ( v0 != v16 )
& ( v0 != v32 )
& ( v0 != v300 )
& ( v0 != v500 )
& ( v0 != v600 )
& ( v0 != v601 )
& ( v16 != v32 )
& ( v16 != v300 )
& ( v16 != v500 )
& ( v16 != v600 )
& ( v16 != v601 )
& ( v32 != v300 )
& ( v32 != v500 )
& ( v32 != v600 )
& ( v32 != v601 )
& ( v300 != v500 )
& ( v300 != v600 )
& ( v300 != v601 )
& ( v500 != v600 )
& ( v500 != v601 )
& ( v600 != v601 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
tff(c_198,plain,
in_closed('#skF_4',v601,v601),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_353,plain,
! [A_79,X_80,B_81] :
( leq(A_79,X_80)
| ~ in_closed(X_80,A_79,B_81) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_360,plain,
leq(v601,'#skF_4'),
inference(resolution,[status(thm)],[c_198,c_353]) ).
tff(c_398,plain,
! [X_91,B_92,A_93] :
( leq(X_91,B_92)
| ~ in_closed(X_91,A_93,B_92) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_405,plain,
leq('#skF_4',v601),
inference(resolution,[status(thm)],[c_198,c_398]) ).
tff(c_503,plain,
! [Y_100,X_101] :
( ( Y_100 = X_101 )
| ~ leq(Y_100,X_101)
| ~ leq(X_101,Y_100) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_507,plain,
( ( v601 = '#skF_4' )
| ~ leq(v601,'#skF_4') ),
inference(resolution,[status(thm)],[c_405,c_503]) ).
tff(c_573,plain,
v601 = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_360,c_507]) ).
tff(c_200,plain,
in_closed('#skF_4',v600,v600),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_361,plain,
leq(v600,'#skF_4'),
inference(resolution,[status(thm)],[c_200,c_353]) ).
tff(c_406,plain,
leq('#skF_4',v600),
inference(resolution,[status(thm)],[c_200,c_398]) ).
tff(c_505,plain,
( ( v600 = '#skF_4' )
| ~ leq(v600,'#skF_4') ),
inference(resolution,[status(thm)],[c_406,c_503]) ).
tff(c_570,plain,
v600 = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_361,c_505]) ).
tff(c_148,plain,
v601 != v600,
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_671,plain,
v601 != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_570,c_148]) ).
tff(c_740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_573,c_671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05 % 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
% 0.10/0.36 % Computer : n029.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 14:19:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 6.21/2.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.21/2.79
% 6.21/2.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------