TSTP Solution File: SWW234+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW234+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : Thu Jul 21 00:01:48 EDT 2022
% Result : Theorem 10.89s 3.19s
% Output : CNFRefutation 10.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 22 unt; 2 nHn; 19 RR)
% Number of literals : 56 ( 11 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_833,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_833) ).
cnf(i_0_9,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_9) ).
cnf(i_0_1148,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_1148) ).
cnf(i_0_21,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_21) ).
cnf(i_0_1153,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_1153) ).
cnf(i_0_817,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_817) ).
cnf(i_0_236,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_236) ).
cnf(i_0_473,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_473) ).
cnf(i_0_248,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_248) ).
cnf(i_0_1364,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_1364) ).
cnf(i_0_1379,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_1379) ).
cnf(i_0_639,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_639) ).
cnf(i_0_485,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_485) ).
cnf(i_0_276,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xh44lj5n/lgb.p',i_0_276) ).
cnf(c_0_1394,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
i_0_833 ).
cnf(c_0_1395,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
i_0_9 ).
cnf(c_0_1396,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
i_0_1148 ).
cnf(c_0_1397,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = X1,
inference(spm,[status(thm)],[c_0_1394,c_0_1395]) ).
cnf(c_0_1398,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
i_0_21 ).
cnf(c_0_1399,plain,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
i_0_1153 ).
cnf(c_0_1400,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1396,c_0_1397]),c_0_1398])]) ).
cnf(c_0_1401,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1399,c_0_1400]),c_0_1398])]) ).
cnf(c_0_1402,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
i_0_817 ).
cnf(c_0_1403,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
i_0_236 ).
cnf(c_0_1404,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_473 ).
cnf(c_0_1405,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
i_0_248 ).
cnf(c_0_1406,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
i_0_1364 ).
cnf(c_0_1407,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1401,c_0_1402]),c_0_1403])]) ).
cnf(c_0_1408,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = X1,
inference(spm,[status(thm)],[c_0_1404,c_0_1405]) ).
cnf(c_0_1409,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
i_0_1379 ).
cnf(c_0_1410,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
i_0_639 ).
cnf(c_0_1411,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1406,c_0_1407]),c_0_1408]) ).
cnf(c_0_1412,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
i_0_485 ).
cnf(c_0_1413,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))) ),
inference(spm,[status(thm)],[c_0_1409,c_0_1410]) ).
cnf(c_0_1414,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))),
inference(spm,[status(thm)],[c_0_1411,c_0_1412]) ).
cnf(c_0_1415,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
i_0_276 ).
cnf(c_0_1416,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1413,c_0_1414]),c_0_1415]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW234+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 22:01:51 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.52 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.52 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.52 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.89/3.19 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.89/3.19 # No SInE strategy applied
% 10.89/3.19 # Trying AutoSched0 for 150 seconds
% 10.89/3.19 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.89/3.19 # and selection function SelectCQIPrecWNTNp.
% 10.89/3.19 #
% 10.89/3.19 # Preprocessing time : 0.032 s
% 10.89/3.19 # Presaturation interreduction done
% 10.89/3.19
% 10.89/3.19 # Proof found!
% 10.89/3.19 # SZS status Theorem
% 10.89/3.19 # SZS output start CNFRefutation
% See solution above
% 10.89/3.19 # Training examples: 0 positive, 0 negative
% 10.89/3.19
% 10.89/3.19 # -------------------------------------------------
% 10.89/3.19 # User time : 0.301 s
% 10.89/3.19 # System time : 0.017 s
% 10.89/3.19 # Total time : 0.318 s
% 10.89/3.19 # Maximum resident set size: 7392 pages
% 10.89/3.19
%------------------------------------------------------------------------------