%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG049+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:24:47 EDT 2022
% Result : Theorem 6.67s 2.28s
% Output : CNFRefutation 6.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 14 unt; 3 nHn; 31 RR)
% Number of literals : 67 ( 11 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_41,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_41) ).
cnf(i_0_59,hypothesis,
sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_59) ).
cnf(i_0_60,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_60) ).
cnf(i_0_61,hypothesis,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_61) ).
cnf(i_0_62,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_62) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_13) ).
cnf(i_0_53,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_53) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_46) ).
cnf(i_0_56,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_56) ).
cnf(i_0_51,plain,
( aDimensionOf0(X1) = sz00
| aVector0(X2)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_51) ).
cnf(i_0_58,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_58) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6m1thjxz/lgb.p',i_0_45) ).
cnf(c_0_75,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_41 ).
cnf(c_0_76,hypothesis,
sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs),
i_0_59 ).
cnf(c_0_77,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
i_0_60 ).
cnf(c_0_78,hypothesis,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
i_0_61 ).
cnf(c_0_79,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
i_0_62 ).
cnf(c_0_80,plain,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78])]),c_0_79]) ).
cnf(c_0_81,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_82,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
i_0_53 ).
cnf(c_0_84,plain,
( ~ aVector0(sziznziztdt0(xs))
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_85,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_86,hypothesis,
aVector0(xs),
i_0_56 ).
cnf(c_0_87,plain,
( aDimensionOf0(X1) = sz00
| aVector0(X2)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
i_0_51 ).
cnf(c_0_88,plain,
( ~ aVector0(sziznziztdt0(xs))
| ~ aNaturalNumber0(aDimensionOf0(xs)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_89,plain,
( aDimensionOf0(X1) = sz00
| aVector0(sziznziztdt0(X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_90,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_58 ).
cnf(c_0_91,plain,
~ aNaturalNumber0(aDimensionOf0(xs)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_86])]),c_0_90]) ).
cnf(c_0_92,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_93,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG049+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 15:09:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 6.67/2.28 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.67/2.28 # No SInE strategy applied
% 6.67/2.28 # Trying AutoSched0 for 150 seconds
% 6.67/2.28 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 6.67/2.28 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.67/2.28 #
% 6.67/2.28 # Preprocessing time : 0.013 s
% 6.67/2.28
% 6.67/2.28 # Proof found!
% 6.67/2.28 # SZS status Theorem
% 6.67/2.28 # SZS output start CNFRefutation
% See solution above
% 6.67/2.28 # Training examples: 0 positive, 0 negative
% 6.67/2.28
% 6.67/2.28 # -------------------------------------------------
% 6.67/2.28 # User time : 0.019 s
% 6.67/2.28 # System time : 0.002 s
% 6.67/2.28 # Total time : 0.021 s
% 6.67/2.28 # Maximum resident set size: 7124 pages
% 6.67/2.28
%------------------------------------------------------------------------------