%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT079+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 : n005.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 15.09s 5.29s
% Output : CNFRefutation 15.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 115 ( 26 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 131 ( 63 ~; 33 |; 29 &)
% ( 2 <=>; 4 =>; 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 : 14 ( 14 usr; 10 con; 0-4 aty)
% Number of variables : 55 ( 52 !; 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 > v800 > v600 > v400 > v32 > v16 > v1200 > 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(v32,type,
v32: $i ).
tff(in_open,type,
in_open: ( $i * $i * $i ) > $o ).
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(v400,type,
v400: $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(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(v800,type,
v800: $i ).
tff(v1200,type,
v1200: $i ).
tff(conflict,type,
conflict: $i ).
tff(f_359,axiom,
( ( v0 != v16 )
& ( v0 != v32 )
& ( v0 != v400 )
& ( v0 != v600 )
& ( v0 != v800 )
& ( v0 != v1200 )
& ( v16 != v32 )
& ( v16 != v400 )
& ( v16 != v600 )
& ( v16 != v800 )
& ( v16 != v1200 )
& ( v32 != v400 )
& ( v32 != v600 )
& ( v32 != v800 )
& ( v32 != v1200 )
& ( v400 != v600 )
& ( v400 != v800 )
& ( v400 != v1200 )
& ( v600 != v800 )
& ( v600 != v1200 )
& ( v800 != v1200 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
tff(f_283,axiom,
less(v16,v32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v16_v32) ).
tff(f_95,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
tff(f_90,axiom,
! [X,Y] :
( ( leq(X,Y)
& leq(Y,X) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
tff(f_277,axiom,
less(v0,v16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v16) ).
tff(f_82,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_def) ).
tff(f_67,axiom,
! [X,Y,Z] :
( ( less(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',transitive) ).
tff(f_166,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_279,axiom,
less(v0,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).
tff(f_102,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_280,axiom,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).
tff(f_373,negated_conjecture,
~ ? [X,Y,Z] :
( in_lopen(X,v0,v600)
& in_lopen(Y,v0,v400)
& in_lopen(Z,v0,v32)
& ~ ( in_lopen(X,v0,v1200)
& in_lopen(Y,v0,v800)
& in_lopen(Z,v0,v16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl350) ).
tff(c_176,plain,
v32 != v16,
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_118,plain,
less(v16,v32),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_12905,plain,
! [X_920,Y_921] :
( leq(X_920,Y_921)
| ~ less(X_920,Y_921) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_12976,plain,
leq(v16,v32),
inference(resolution,[status(thm)],[c_118,c_12905]) ).
tff(c_13085,plain,
! [Y_953,X_954] :
( ( Y_953 = X_954 )
| ~ leq(Y_953,X_954)
| ~ leq(X_954,Y_953) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_13097,plain,
( ( v32 = v16 )
| ~ leq(v32,v16) ),
inference(resolution,[status(thm)],[c_12976,c_13085]) ).
tff(c_13147,plain,
~ leq(v32,v16),
inference(negUnitSimplification,[status(thm)],[c_176,c_13097]) ).
tff(c_106,plain,
less(v0,v16),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_10,plain,
! [Y_8] : leq(Y_8,Y_8),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_13647,plain,
! [X_977,Z_978,Y_979] :
( less(X_977,Z_978)
| ~ less(Y_979,Z_978)
| ~ less(X_977,Y_979) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_13724,plain,
! [X_977] :
( less(X_977,v32)
| ~ less(X_977,v16) ),
inference(resolution,[status(thm)],[c_118,c_13647]) ).
tff(c_14033,plain,
! [X_995,A_996,B_997] :
( in_lopen(X_995,A_996,B_997)
| ~ leq(X_995,B_997)
| ~ less(A_996,X_995) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_110,plain,
less(v0,v400),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_9968,plain,
! [X_743,Z_744,Y_745] :
( less(X_743,Z_744)
| ~ less(Y_745,Z_744)
| ~ leq(X_743,Y_745) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_10032,plain,
! [X_743] :
( less(X_743,v400)
| ~ leq(X_743,v0) ),
inference(resolution,[status(thm)],[c_110,c_9968]) ).
tff(c_10503,plain,
! [X_767,A_768,B_769] :
( in_lopen(X_767,A_768,B_769)
| ~ leq(X_767,B_769)
| ~ less(A_768,X_767) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_112,plain,
less(v0,v600),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_7172,plain,
! [X_555,A_556,B_557] :
( in_lopen(X_555,A_556,B_557)
| ~ leq(X_555,B_557)
| ~ less(A_556,X_555) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_190,plain,
! [Z_66,Y_65,X_64] :
( in_lopen(Z_66,v0,v16)
| ~ in_lopen(Z_66,v0,v32)
| ~ in_lopen(Y_65,v0,v400)
| ~ in_lopen(X_64,v0,v600) ),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_6509,plain,
! [X_64] : ~ in_lopen(X_64,v0,v600),
inference(splitLeft,[status(thm)],[c_190]) ).
tff(c_7191,plain,
! [X_558] :
( ~ leq(X_558,v600)
| ~ less(v0,X_558) ),
inference(resolution,[status(thm)],[c_7172,c_6509]) ).
tff(c_7212,plain,
~ leq(v600,v600),
inference(resolution,[status(thm)],[c_112,c_7191]) ).
tff(c_7230,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_7212]) ).
tff(c_7231,plain,
! [Y_65,Z_66] :
( ~ in_lopen(Y_65,v0,v400)
| in_lopen(Z_66,v0,v16)
| ~ in_lopen(Z_66,v0,v32) ),
inference(splitRight,[status(thm)],[c_190]) ).
tff(c_7232,plain,
! [Y_65] : ~ in_lopen(Y_65,v0,v400),
inference(splitLeft,[status(thm)],[c_7231]) ).
tff(c_10578,plain,
! [X_773] :
( ~ leq(X_773,v400)
| ~ less(v0,X_773) ),
inference(resolution,[status(thm)],[c_10503,c_7232]) ).
tff(c_10598,plain,
( ~ leq(v400,v400)
| ~ leq(v0,v0) ),
inference(resolution,[status(thm)],[c_10032,c_10578]) ).
tff(c_10680,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_10,c_10598]) ).
tff(c_10681,plain,
! [Z_66] :
( in_lopen(Z_66,v0,v16)
| ~ in_lopen(Z_66,v0,v32) ),
inference(splitRight,[status(thm)],[c_7231]) ).
tff(c_14360,plain,
! [X_1008] :
( in_lopen(X_1008,v0,v16)
| ~ leq(X_1008,v32)
| ~ less(v0,X_1008) ),
inference(resolution,[status(thm)],[c_14033,c_10681]) ).
tff(c_32,plain,
! [X_25,B_27,A_26] :
( leq(X_25,B_27)
| ~ in_lopen(X_25,A_26,B_27) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_14571,plain,
! [X_1019] :
( leq(X_1019,v16)
| ~ leq(X_1019,v32)
| ~ less(v0,X_1019) ),
inference(resolution,[status(thm)],[c_14360,c_32]) ).
tff(c_14587,plain,
( leq(v32,v16)
| ~ leq(v32,v32)
| ~ less(v0,v16) ),
inference(resolution,[status(thm)],[c_13724,c_14571]) ).
tff(c_14712,plain,
leq(v32,v16),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_10,c_14587]) ).
tff(c_14714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13147,c_14712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT079+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
% 0.10/0.36 % Computer : n005.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 14:14:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 15.09/5.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.48/5.30
% 15.48/5.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------