TSTP Solution File: SWW269+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW269+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 00:01:52 EDT 2022
% Result : Theorem 10.84s 3.24s
% Output : CNFRefutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 17 unt; 7 nHn; 24 RR)
% Number of literals : 55 ( 38 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1332,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_1332) ).
cnf(i_0_163,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_d____,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_163) ).
cnf(i_0_168,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_168) ).
cnf(i_0_9,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_9) ).
cnf(i_0_1413,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,hAPP(c_Polynomial_Opoly(X1,X4),X3))) = hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X4)),X3)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_1413) ).
cnf(i_0_28,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_28) ).
cnf(i_0_972,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| X3 = c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Otimes__class_Otimes(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
| ~ class_Rings_Oring__no__zero__divisors(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_972) ).
cnf(i_0_40,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_40) ).
cnf(i_0_160,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_160) ).
cnf(i_0_1330,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),esk22_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_1330) ).
cnf(i_0_1331,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != esk22_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_1331) ).
cnf(i_0_1320,plain,
( c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_1320) ).
cnf(i_0_17,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h0j5sqjw/lgb.p',i_0_17) ).
cnf(c_0_1427,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
i_0_1332 ).
cnf(c_0_1428,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_d____,
i_0_163 ).
cnf(c_0_1429,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
i_0_168 ).
cnf(c_0_1430,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
i_0_9 ).
cnf(c_0_1431,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_ds____)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[c_0_1427,c_0_1428]) ).
cnf(c_0_1432,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Otimes__class_Otimes(X1,X3,hAPP(c_Polynomial_Opoly(X1,X4),X3))) = hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X4)),X3)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_1413 ).
cnf(c_0_1433,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = X1,
inference(spm,[status(thm)],[c_0_1429,c_0_1430]) ).
cnf(c_0_1434,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
i_0_28 ).
cnf(c_0_1435,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| X3 = c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Otimes__class_Otimes(X2,X3,X1) != c_Groups_Ozero__class_Ozero(X2)
| ~ class_Rings_Oring__no__zero__divisors(X2) ),
i_0_972 ).
cnf(c_0_1436,plain,
( c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),X1)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1431,c_0_1432]),c_0_1433]),c_0_1434])]) ).
cnf(c_0_1437,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
i_0_40 ).
cnf(c_0_1438,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
i_0_160 ).
cnf(c_0_1439,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),esk22_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
i_0_1330 ).
cnf(c_0_1440,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1435,c_0_1436]),c_0_1437])]) ).
cnf(c_0_1441,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != esk22_0 ),
i_0_1331 ).
cnf(c_0_1442,plain,
( c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
i_0_1320 ).
cnf(c_0_1443,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
i_0_17 ).
cnf(c_0_1444,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(rw,[status(thm)],[c_0_1438,c_0_1428]) ).
cnf(c_0_1445,plain,
v_ds____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1439,c_0_1440]),c_0_1441]) ).
cnf(c_0_1446,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_1442,c_0_1443]) ).
cnf(c_0_1447,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1444,c_0_1445]),c_0_1446])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW269+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 05:39:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.53 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.84/3.24 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.84/3.24 # No SInE strategy applied
% 10.84/3.24 # Trying AutoSched0 for 150 seconds
% 10.84/3.24 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 10.84/3.24 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.84/3.24 #
% 10.84/3.24 # Preprocessing time : 0.017 s
% 10.84/3.24 # Presaturation interreduction done
% 10.84/3.24
% 10.84/3.24 # Proof found!
% 10.84/3.24 # SZS status Theorem
% 10.84/3.24 # SZS output start CNFRefutation
% See solution above
% 10.84/3.24 # Training examples: 0 positive, 0 negative
% 10.84/3.24
% 10.84/3.24 # -------------------------------------------------
% 10.84/3.24 # User time : 0.061 s
% 10.84/3.24 # System time : 0.009 s
% 10.84/3.24 # Total time : 0.070 s
% 10.84/3.24 # Maximum resident set size: 7364 pages
% 10.84/3.24
%------------------------------------------------------------------------------