%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT086+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 : n020.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 8.83s 3.46s
% Output : CNFRefutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 16 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 91 ( 43 ~; 27 |; 16 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 41 ( 39 !; 2 ?; 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 > 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(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('#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_313,axiom,
( ( v0 != v200 )
& ( v0 != v400 )
& ( v0 != v600 )
& ( v0 != v800 )
& ( v200 != v400 )
& ( v200 != v600 )
& ( v200 != v800 )
& ( v400 != v600 )
& ( v400 != v800 )
& ( v600 != v800 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
tff(f_284,axiom,
less(v600,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
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_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_279,axiom,
less(v200,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v400) ).
tff(f_275,axiom,
less(v0,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).
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_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_328,negated_conjecture,
~ ? [X,Y] :
( leq(v800,X)
& in_lopen(Y,v0,v200)
& ( ( in_lopen(X,v0,v600)
& ~ in_lopen(Y,v0,v400) )
| ( ~ in_lopen(X,v0,v600)
& in_lopen(Y,v0,v400) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl462) ).
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(c_122,plain,
v800 != v600,
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_120,plain,
less(v600,v800),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_1840,plain,
! [X_170,Y_171] :
( leq(X_170,Y_171)
| ~ less(X_170,Y_171) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_1876,plain,
leq(v600,v800),
inference(resolution,[status(thm)],[c_120,c_1840]) ).
tff(c_10,plain,
! [Y_8] : leq(Y_8,Y_8),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_110,plain,
less(v200,v400),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_214,plain,
! [X_72,Y_73] :
( leq(X_72,Y_73)
| ~ less(X_72,Y_73) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_254,plain,
leq(v200,v400),
inference(resolution,[status(thm)],[c_110,c_214]) ).
tff(c_102,plain,
less(v0,v200),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_453,plain,
! [X_109,Z_110,Y_111] :
( less(X_109,Z_110)
| ~ less(Y_111,Z_110)
| ~ leq(X_109,Y_111) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_488,plain,
! [X_109] :
( less(X_109,v200)
| ~ leq(X_109,v0) ),
inference(resolution,[status(thm)],[c_102,c_453]) ).
tff(c_30,plain,
! [X_25,A_26,B_27] :
( in_lopen(X_25,A_26,B_27)
| ~ leq(X_25,B_27)
| ~ less(A_26,X_25) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_899,plain,
! [X_133,A_134,B_135] :
( in_lopen(X_133,A_134,B_135)
| ~ leq(X_133,B_135)
| ~ less(A_134,X_133) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_142,plain,
! [Y_65,X_64] :
( ~ in_lopen(Y_65,v0,v400)
| in_lopen(X_64,v0,v600)
| ~ in_lopen(Y_65,v0,v200)
| ~ leq(v800,X_64) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_157,plain,
! [Y_65] :
( ~ in_lopen(Y_65,v0,v400)
| ~ in_lopen(Y_65,v0,v200) ),
inference(splitLeft,[status(thm)],[c_142]) ).
tff(c_1365,plain,
! [X_146] :
( ~ in_lopen(X_146,v0,v200)
| ~ leq(X_146,v400)
| ~ less(v0,X_146) ),
inference(resolution,[status(thm)],[c_899,c_157]) ).
tff(c_1603,plain,
! [X_157] :
( ~ leq(X_157,v400)
| ~ leq(X_157,v200)
| ~ less(v0,X_157) ),
inference(resolution,[status(thm)],[c_30,c_1365]) ).
tff(c_1659,plain,
( ~ leq(v200,v400)
| ~ leq(v200,v200)
| ~ leq(v0,v0) ),
inference(resolution,[status(thm)],[c_488,c_1603]) ).
tff(c_1750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_10,c_254,c_1659]) ).
tff(c_1751,plain,
! [X_64] :
( in_lopen(X_64,v0,v600)
| ~ leq(v800,X_64) ),
inference(splitRight,[status(thm)],[c_142]) ).
tff(c_1887,plain,
! [X_178,B_179,A_180] :
( leq(X_178,B_179)
| ~ in_lopen(X_178,A_180,B_179) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_1896,plain,
! [X_181] :
( leq(X_181,v600)
| ~ leq(v800,X_181) ),
inference(resolution,[status(thm)],[c_1751,c_1887]) ).
tff(c_1900,plain,
leq(v800,v600),
inference(resolution,[status(thm)],[c_10,c_1896]) ).
tff(c_2024,plain,
! [Y_204,X_205] :
( ( Y_204 = X_205 )
| ~ leq(Y_204,X_205)
| ~ leq(X_205,Y_204) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_2026,plain,
( ( v800 = v600 )
| ~ leq(v600,v800) ),
inference(resolution,[status(thm)],[c_1900,c_2024]) ).
tff(c_2051,plain,
v800 = v600,
inference(demodulation,[status(thm),theory(equality)],[c_1876,c_2026]) ).
tff(c_2053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_2051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT086+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
% 0.08/0.37 % Computer : n020.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 7 14:20:43 UTC 2026
% 0.08/0.37 % CPUTime :
% 8.83/3.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.83/3.46
% 8.83/3.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------