%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT106+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 : n017.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 06:03:08 AM UTC 2026
% Result : Unsatisfiable 5.93s 2.96s
% Output : CNFRefutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 29 ~; 22 |; 6 &)
% ( 2 <=>; 4 =>; 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 : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 38 ( 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ axis_subsumes > axis_conflict > axis_compatible > in_ropen > in_open > in_lopen > in_closed > less > leq > val > is_verdict > box_verdict > #nlpp > w > v800 > v600 > 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(w,type,
w: $i ).
tff(val,type,
val: $i > $o ).
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(v800,type,
v800: $i ).
tff(conflict,type,
conflict: $i ).
tff(f_283,axiom,
( ( v0 != v600 )
& ( v0 != v800 )
& ( v600 != v800 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
tff(f_275,axiom,
less(v600,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v800) ).
tff(f_96,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
tff(f_91,axiom,
! [X,Y] :
( ( leq(X,Y)
& leq(Y,X) )
=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
tff(f_68,axiom,
! [X,Y,Z] :
( ( less(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',transitive) ).
tff(f_61,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
tff(f_285,axiom,
in_lopen(w,v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wit_in_lopen) ).
tff(f_167,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( less(A,X)
& leq(X,B) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_lopen) ).
tff(f_83,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_def) ).
tff(f_286,axiom,
leq(v800,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wit_leq) ).
tff(f_109,axiom,
! [X,Y,Z] :
( ( less(X,Y)
& leq(Y,Z) )
=> less(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_leq_trans) ).
tff(f_75,axiom,
! [X,Y] :
( less(X,Y)
| ( X = Y )
| less(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',trichotomy) ).
tff(c_102,plain,
v800 != v600,
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_100,plain,
less(v600,v800),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_127,plain,
! [X_66,Y_67] :
( leq(X_66,Y_67)
| ~ less(X_66,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_134,plain,
leq(v600,v800),
inference(resolution,[status(thm)],[c_100,c_127]) ).
tff(c_327,plain,
! [Y_101,X_102] :
( ( Y_101 = X_102 )
| ~ leq(Y_101,X_102)
| ~ leq(X_102,Y_101) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_335,plain,
( ( v800 = v600 )
| ~ leq(v800,v600) ),
inference(resolution,[status(thm)],[c_134,c_327]) ).
tff(c_347,plain,
~ leq(v800,v600),
inference(negUnitSimplification,[status(thm)],[c_102,c_335]) ).
tff(c_375,plain,
! [X_106,Z_107,Y_108] :
( less(X_106,Z_107)
| ~ less(Y_108,Z_107)
| ~ less(X_106,Y_108) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_454,plain,
! [X_113] :
( less(X_113,v800)
| ~ less(X_113,v600) ),
inference(resolution,[status(thm)],[c_100,c_375]) ).
tff(c_2,plain,
! [X_1] : ~ less(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_473,plain,
~ less(v800,v600),
inference(resolution,[status(thm)],[c_454,c_2]) ).
tff(c_110,plain,
in_lopen(w,v0,v600),
inference(cnfTransformation,[status(thm)],[f_285]) ).
tff(c_201,plain,
! [X_88,B_89,A_90] :
( leq(X_88,B_89)
| ~ in_lopen(X_88,A_90,B_89) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_205,plain,
leq(w,v600),
inference(resolution,[status(thm)],[c_110,c_201]) ).
tff(c_8,plain,
! [Y_8,X_7] :
( ( Y_8 = X_7 )
| less(X_7,Y_8)
| ~ leq(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_112,plain,
leq(v800,w),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_354,plain,
! [X_103,Z_104,Y_105] :
( less(X_103,Z_104)
| ~ leq(Y_105,Z_104)
| ~ less(X_103,Y_105) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_394,plain,
! [X_109] :
( less(X_109,w)
| ~ less(X_109,v800) ),
inference(resolution,[status(thm)],[c_112,c_354]) ).
tff(c_406,plain,
~ less(w,v800),
inference(resolution,[status(thm)],[c_394,c_2]) ).
tff(c_470,plain,
~ less(w,v600),
inference(resolution,[status(thm)],[c_454,c_406]) ).
tff(c_512,plain,
( ( w = v600 )
| ~ leq(w,v600) ),
inference(resolution,[status(thm)],[c_8,c_470]) ).
tff(c_521,plain,
w = v600,
inference(demodulation,[status(thm),theory(equality)],[c_205,c_512]) ).
tff(c_6,plain,
! [Y_6,X_5] :
( less(Y_6,X_5)
| ( Y_6 = X_5 )
| less(X_5,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_417,plain,
( ( w = v800 )
| less(v800,w) ),
inference(resolution,[status(thm)],[c_6,c_406]) ).
tff(c_419,plain,
less(v800,w),
inference(splitLeft,[status(thm)],[c_417]) ).
tff(c_525,plain,
less(v800,v600),
inference(demodulation,[status(thm),theory(equality)],[c_521,c_419]) ).
tff(c_538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_473,c_525]) ).
tff(c_539,plain,
w = v800,
inference(splitRight,[status(thm)],[c_417]) ).
tff(c_340,plain,
( ( w = v600 )
| ~ leq(v600,w) ),
inference(resolution,[status(thm)],[c_205,c_327]) ).
tff(c_373,plain,
~ leq(v600,w),
inference(splitLeft,[status(thm)],[c_340]) ).
tff(c_544,plain,
~ leq(v600,v800),
inference(demodulation,[status(thm),theory(equality)],[c_539,c_373]) ).
tff(c_554,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_544]) ).
tff(c_555,plain,
w = v600,
inference(splitRight,[status(thm)],[c_340]) ).
tff(c_352,plain,
( ( w = v800 )
| ~ leq(w,v800) ),
inference(resolution,[status(thm)],[c_112,c_327]) ).
tff(c_353,plain,
~ leq(w,v800),
inference(splitLeft,[status(thm)],[c_352]) ).
tff(c_557,plain,
~ leq(v600,v800),
inference(demodulation,[status(thm),theory(equality)],[c_555,c_353]) ).
tff(c_566,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_557]) ).
tff(c_567,plain,
w = v800,
inference(splitRight,[status(thm)],[c_352]) ).
tff(c_569,plain,
leq(v800,v600),
inference(demodulation,[status(thm),theory(equality)],[c_567,c_205]) ).
tff(c_576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_347,c_569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT106+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
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 7 14:37:39 UTC 2026
% 0.09/0.37 % CPUTime :
% 5.93/2.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.93/2.97
% 5.93/2.97 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------