%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n001.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 06:08:06 AM UTC 2026
% Result : Unsatisfiable 5.58s 3.03s
% Output : CNFRefutation 5.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 66 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 25 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 ( 1 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_antisym,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
fof(leq_def,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> ( less(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_def) ).
fof(in_lopen,axiom,
! [X1,X4,X5] :
( in_lopen(X1,X4,X5)
<=> ( less(X4,X1)
& leq(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_lopen) ).
fof(wit_in_lopen,axiom,
in_lopen(w,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wit_in_lopen) ).
fof(less_leq_trans,axiom,
! [X1,X2,X3] :
( ( less(X1,X2)
& leq(X2,X3) )
=> less(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_leq_trans) ).
fof(wit_leq,axiom,
leq(v800,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wit_leq) ).
fof(ord_v600_v800,axiom,
less(v600,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
fof(distinct,axiom,
( v0 != v600
& v0 != v800
& v600 != v800 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
fof(c_0_8,plain,
! [X21,X22] :
( ~ leq(X21,X22)
| ~ leq(X22,X21)
| X21 = X22 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])]) ).
fof(c_0_9,plain,
! [X19,X20] :
( ( ~ leq(X19,X20)
| less(X19,X20)
| X19 = X20 )
& ( ~ less(X19,X20)
| leq(X19,X20) )
& ( X19 != X20
| leq(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])]) ).
fof(c_0_10,plain,
! [X37,X38,X39] :
( ( less(X38,X37)
| ~ in_lopen(X37,X38,X39) )
& ( leq(X37,X39)
| ~ in_lopen(X37,X38,X39) )
& ( ~ less(X38,X37)
| ~ leq(X37,X39)
| in_lopen(X37,X38,X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( leq(X1,X2)
| ~ in_lopen(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
in_lopen(w,v0,v600),
inference(split_conjunct,[status(thm)],[wit_in_lopen]) ).
fof(c_0_15,plain,
! [X28,X29,X30] :
( ~ less(X28,X29)
| ~ leq(X29,X30)
| less(X28,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_leq_trans])]) ).
cnf(c_0_16,plain,
leq(v800,w),
inference(split_conjunct,[status(thm)],[wit_leq]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ less(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
leq(w,v600),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( less(X1,X3)
| ~ less(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( w = v800
| ~ leq(w,v800) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_21,plain,
( w = v600
| ~ less(v600,w) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( less(X1,w)
| ~ less(X1,v800) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_23,plain,
less(v600,v800),
inference(split_conjunct,[status(thm)],[ord_v600_v800]) ).
cnf(c_0_24,plain,
( w = v800
| ~ less(w,v800) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_25,plain,
w = v600,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
v600 != v800,
inference(split_conjunct,[status(thm)],[distinct]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_23])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.36 % Computer : n001.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 14:46:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 4.83/2.45 [LightGBM] [Fatal] Data file /export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fkre6o6k/test couldn't be read
% 4.83/2.45 [3167072] Failed to execute script predict4sine1
% 4.83/2.45 Traceback (most recent call last):
% 4.83/2.45 File "predict4sine1.py", line 24, in <module>
% 4.83/2.45 File "site-packages/lightgbm/basic.py", line 1037, in construct
% 4.83/2.45 File "site-packages/lightgbm/basic.py", line 833, in _lazy_init
% 4.83/2.45 File "site-packages/lightgbm/basic.py", line 47, in _safe_call
% 4.83/2.45 lightgbm.basic.LightGBMError: Data file /export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fkre6o6k/test couldn't be read
% 5.58/3.03 # ENIGMATIC: Solved by autoschedule:
% 5.58/3.03 # No SInE strategy applied
% 5.58/3.03 # Trying AutoSched0 for 150 seconds
% 5.58/3.03 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 5.58/3.03 # and selection function SelectMaxLComplexAvoidPosPred.
% 5.58/3.03 #
% 5.58/3.03 # Preprocessing time : 0.028 s
% 5.58/3.03
% 5.58/3.03 # Proof found!
% 5.58/3.03 # SZS status Theorem
% 5.58/3.03 # SZS output start CNFRefutation
% See solution above
% 5.58/3.03 # Training examples: 0 positive, 0 negative
% 5.58/3.03
% 5.58/3.03 # -------------------------------------------------
% 5.58/3.03 # User time : 0.031 s
% 5.58/3.03 # System time : 0.005 s
% 5.58/3.03 # Total time : 0.036 s
% 5.58/3.03 # Maximum resident set size: 3584 pages
% 5.58/3.03
%------------------------------------------------------------------------------