%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT085+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 : n012.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 4.73s 1.92s
% Output : CNFRefutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 125 ( 26 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 102 ( 51 ~; 32 |; 15 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 15 ( 15 usr; 11 con; 0-4 aty)
% Number of variables : 46 ( 43 !; 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 > v50 > v400 > v200 > v100 > 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(in_open,type,
in_open: ( $i * $i * $i ) > $o ).
tff(v50,type,
v50: $i ).
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_5',type,
'#skF_5': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $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('#skF_4',type,
'#skF_4': $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(v100,type,
v100: $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_325,negated_conjecture,
~ ~ ? [X,Y,Z] :
( ( in_lopen(X,v0,v200)
| in_lopen(Y,v0,v100)
| in_lopen(Z,v0,v50) )
& leq(v400,X)
& leq(v200,Y)
& leq(v100,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl445) ).
tff(f_164,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_88,axiom,
! [X,Y] :
( ( leq(X,Y)
& leq(Y,X) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
tff(f_282,axiom,
less(v200,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v400) ).
tff(f_106,axiom,
! [X,Y,Z] :
( ( less(X,Y)
& leq(Y,Z) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_leq_trans) ).
tff(f_93,axiom,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).
tff(f_311,axiom,
( ( v0 != v50 )
& ( v0 != v100 )
& ( v0 != v200 )
& ( v0 != v400 )
& ( v50 != v100 )
& ( v50 != v200 )
& ( v50 != v400 )
& ( v100 != v200 )
& ( v100 != v400 )
& ( v200 != v400 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
tff(f_277,axiom,
less(v50,v100),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v50_v100) ).
tff(f_280,axiom,
less(v100,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v200) ).
tff(c_144,plain,
leq(v200,'#skF_5'),
inference(cnfTransformation,[status(thm)],[f_325]) ).
tff(c_142,plain,
leq(v100,'#skF_6'),
inference(cnfTransformation,[status(thm)],[f_325]) ).
tff(c_146,plain,
leq(v400,'#skF_4'),
inference(cnfTransformation,[status(thm)],[f_325]) ).
tff(c_148,plain,
( in_lopen('#skF_6',v0,v50)
| in_lopen('#skF_5',v0,v100)
| in_lopen('#skF_4',v0,v200) ),
inference(cnfTransformation,[status(thm)],[f_325]) ).
tff(c_161,plain,
in_lopen('#skF_4',v0,v200),
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_222,plain,
! [X_69,B_70,A_71] :
( leq(X_69,B_70)
| ~ in_lopen(X_69,A_71,B_70) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_226,plain,
leq('#skF_4',v200),
inference(resolution,[status(thm)],[c_161,c_222]) ).
tff(c_276,plain,
! [Y_94,X_95] :
( ( Y_94 = X_95 )
| ~ leq(Y_94,X_95)
| ~ leq(X_95,Y_94) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_310,plain,
( ( v200 = '#skF_4' )
| ~ leq(v200,'#skF_4') ),
inference(resolution,[status(thm)],[c_226,c_276]) ).
tff(c_397,plain,
~ leq(v200,'#skF_4'),
inference(splitLeft,[status(thm)],[c_310]) ).
tff(c_120,plain,
less(v200,v400),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_485,plain,
! [X_105,Z_106,Y_107] :
( less(X_105,Z_106)
| ~ leq(Y_107,Z_106)
| ~ less(X_105,Y_107) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_534,plain,
! [X_108] :
( less(X_108,'#skF_4')
| ~ less(X_108,v400) ),
inference(resolution,[status(thm)],[c_146,c_485]) ).
tff(c_570,plain,
less(v200,'#skF_4'),
inference(resolution,[status(thm)],[c_120,c_534]) ).
tff(c_16,plain,
! [X_11,Y_12] :
( leq(X_11,Y_12)
| ~ less(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_578,plain,
leq(v200,'#skF_4'),
inference(resolution,[status(thm)],[c_570,c_16]) ).
tff(c_582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397,c_578]) ).
tff(c_583,plain,
v200 = '#skF_4',
inference(splitRight,[status(thm)],[c_310]) ).
tff(c_122,plain,
v400 != v200,
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_168,plain,
! [X_66,Y_67] :
( leq(X_66,Y_67)
| ~ less(X_66,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_206,plain,
leq(v200,v400),
inference(resolution,[status(thm)],[c_120,c_168]) ).
tff(c_286,plain,
( ( v400 = v200 )
| ~ leq(v400,v200) ),
inference(resolution,[status(thm)],[c_206,c_276]) ).
tff(c_319,plain,
~ leq(v400,v200),
inference(negUnitSimplification,[status(thm)],[c_122,c_286]) ).
tff(c_589,plain,
~ leq(v400,'#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_583,c_319]) ).
tff(c_608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146,c_589]) ).
tff(c_609,plain,
( in_lopen('#skF_5',v0,v100)
| in_lopen('#skF_6',v0,v50) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_671,plain,
in_lopen('#skF_6',v0,v50),
inference(splitLeft,[status(thm)],[c_609]) ).
tff(c_709,plain,
! [X_124,B_125,A_126] :
( leq(X_124,B_125)
| ~ in_lopen(X_124,A_126,B_125) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_713,plain,
leq('#skF_6',v50),
inference(resolution,[status(thm)],[c_671,c_709]) ).
tff(c_759,plain,
! [Y_141,X_142] :
( ( Y_141 = X_142 )
| ~ leq(Y_141,X_142)
| ~ leq(X_142,Y_141) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_793,plain,
( ( v50 = '#skF_6' )
| ~ leq(v50,'#skF_6') ),
inference(resolution,[status(thm)],[c_713,c_759]) ).
tff(c_875,plain,
~ leq(v50,'#skF_6'),
inference(splitLeft,[status(thm)],[c_793]) ).
tff(c_110,plain,
less(v50,v100),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_935,plain,
! [X_150,Z_151,Y_152] :
( less(X_150,Z_151)
| ~ leq(Y_152,Z_151)
| ~ less(X_150,Y_152) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1029,plain,
! [X_154] :
( less(X_154,'#skF_6')
| ~ less(X_154,v100) ),
inference(resolution,[status(thm)],[c_142,c_935]) ).
tff(c_1056,plain,
less(v50,'#skF_6'),
inference(resolution,[status(thm)],[c_110,c_1029]) ).
tff(c_1069,plain,
leq(v50,'#skF_6'),
inference(resolution,[status(thm)],[c_1056,c_16]) ).
tff(c_1073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_875,c_1069]) ).
tff(c_1074,plain,
v50 = '#skF_6',
inference(splitRight,[status(thm)],[c_793]) ).
tff(c_132,plain,
v50 != v100,
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_617,plain,
! [X_111,Y_112] :
( leq(X_111,Y_112)
| ~ less(X_111,Y_112) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_648,plain,
leq(v50,v100),
inference(resolution,[status(thm)],[c_110,c_617]) ).
tff(c_783,plain,
( ( v50 = v100 )
| ~ leq(v100,v50) ),
inference(resolution,[status(thm)],[c_648,c_759]) ).
tff(c_823,plain,
~ leq(v100,v50),
inference(negUnitSimplification,[status(thm)],[c_132,c_783]) ).
tff(c_1076,plain,
~ leq(v100,'#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_1074,c_823]) ).
tff(c_1097,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_1076]) ).
tff(c_1098,plain,
in_lopen('#skF_5',v0,v100),
inference(splitRight,[status(thm)],[c_609]) ).
tff(c_1135,plain,
! [X_159,B_160,A_161] :
( leq(X_159,B_160)
| ~ in_lopen(X_159,A_161,B_160) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_1139,plain,
leq('#skF_5',v100),
inference(resolution,[status(thm)],[c_1098,c_1135]) ).
tff(c_1154,plain,
! [Y_180,X_181] :
( ( Y_180 = X_181 )
| ~ leq(Y_180,X_181)
| ~ leq(X_181,Y_180) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_1188,plain,
( ( v100 = '#skF_5' )
| ~ leq(v100,'#skF_5') ),
inference(resolution,[status(thm)],[c_1139,c_1154]) ).
tff(c_1270,plain,
~ leq(v100,'#skF_5'),
inference(splitLeft,[status(thm)],[c_1188]) ).
tff(c_116,plain,
less(v100,v200),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_1363,plain,
! [X_191,Z_192,Y_193] :
( less(X_191,Z_192)
| ~ leq(Y_193,Z_192)
| ~ less(X_191,Y_193) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1768,plain,
! [X_206] :
( less(X_206,'#skF_5')
| ~ less(X_206,v200) ),
inference(resolution,[status(thm)],[c_144,c_1363]) ).
tff(c_1801,plain,
less(v100,'#skF_5'),
inference(resolution,[status(thm)],[c_116,c_1768]) ).
tff(c_1818,plain,
leq(v100,'#skF_5'),
inference(resolution,[status(thm)],[c_1801,c_16]) ).
tff(c_1824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1270,c_1818]) ).
tff(c_1825,plain,
v100 = '#skF_5',
inference(splitRight,[status(thm)],[c_1188]) ).
tff(c_126,plain,
v200 != v100,
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_657,plain,
leq(v100,v200),
inference(resolution,[status(thm)],[c_116,c_617]) ).
tff(c_1174,plain,
( ( v200 = v100 )
| ~ leq(v200,v100) ),
inference(resolution,[status(thm)],[c_657,c_1154]) ).
tff(c_1212,plain,
~ leq(v200,v100),
inference(negUnitSimplification,[status(thm)],[c_126,c_1174]) ).
tff(c_1830,plain,
~ leq(v200,'#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1825,c_1212]) ).
tff(c_1850,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_144,c_1830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % 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
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 7 14:19:11 UTC 2026
% 0.02/0.30 % CPUTime :
% 4.73/1.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.73/1.92
% 4.73/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------