TSTP Solution File: SWW268+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW268+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 10.38s 3.26s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 42 ( 23 unt; 3 nHn; 24 RR)
% Number of literals : 71 ( 38 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 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 : 60 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_376,plain,
( hAPP(X1,X2) = hAPP(X1,X3)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4,X5,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_376) ).
cnf(i_0_1079,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_1079) ).
cnf(i_0_1306,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(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/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_1306) ).
cnf(i_0_336,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_336) ).
cnf(i_0_24,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_24) ).
cnf(i_0_23,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_23) ).
cnf(i_0_224,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Oplus__class_Oplus(X2,X3,X1) != X3
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_224) ).
cnf(i_0_40,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_40) ).
cnf(i_0_368,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_368) ).
cnf(i_0_292,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_292) ).
cnf(i_0_9,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_9) ).
cnf(i_0_892,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| X3 = c_Groups_Ozero__class_Ozero(X2)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1) != c_Groups_Ozero__class_Ozero(X2)
| ~ class_Rings_Oring__no__zero__divisors(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_892) ).
cnf(i_0_35,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_35) ).
cnf(i_0_215,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_215) ).
cnf(i_0_216,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != esk1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s6_w0a0m/lgb.p',i_0_216) ).
cnf(c_0_1322,plain,
( hAPP(X1,X2) = hAPP(X1,X3)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4,X5,X1) ),
i_0_376 ).
cnf(c_0_1323,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),
i_0_1079 ).
cnf(c_0_1324,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(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_1306 ).
cnf(c_0_1325,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_336 ).
cnf(c_0_1326,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X2),
inference(spm,[status(thm)],[c_0_1322,c_0_1323]) ).
cnf(c_0_1327,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),c_Groups_Oone__class_Oone(X1)) = c_Groups_Oplus__class_Oplus(X1,X2,hAPP(c_Polynomial_Opoly(X1,X3),c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Ocomm__semiring__1(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(spm,[status(thm)],[c_0_1324,c_0_1325]) ).
cnf(c_0_1328,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
i_0_24 ).
cnf(c_0_1329,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
i_0_23 ).
cnf(c_0_1330,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Oplus__class_Oplus(X2,X3,X1) != X3
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
i_0_224 ).
cnf(c_0_1331,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1326,c_0_1327]),c_0_1328]),c_0_1329])]) ).
cnf(c_0_1332,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
i_0_40 ).
cnf(c_0_1333,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_368 ).
cnf(c_0_1334,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
i_0_292 ).
cnf(c_0_1335,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
i_0_9 ).
cnf(c_0_1336,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1) != v_c____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_1331]),c_0_1332])]) ).
cnf(c_0_1337,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))
| ~ class_Rings_Ocomm__semiring__1(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(spm,[status(thm)],[c_0_1324,c_0_1333]) ).
cnf(c_0_1338,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
inference(spm,[status(thm)],[c_0_1334,c_0_1335]) ).
cnf(c_0_1339,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1336,c_0_1337]),c_0_1338]),c_0_1328]),c_0_1329])]) ).
cnf(c_0_1340,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Polynomial_Opoly(X1,X3),X2)) = c_Groups_Ozero__class_Ozero(X1)
| hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X4,X3)),X2) != X4
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(spm,[status(thm)],[c_0_1330,c_0_1324]) ).
cnf(c_0_1341,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1) = v_c____,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1331,c_0_1339]),c_0_1338]) ).
cnf(c_0_1342,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| X3 = c_Groups_Ozero__class_Ozero(X2)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1) != c_Groups_Ozero__class_Ozero(X2)
| ~ class_Rings_Oring__no__zero__divisors(X2) ),
i_0_892 ).
cnf(c_0_1343,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),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_1340,c_0_1341]),c_0_1332]),c_0_1329])]) ).
cnf(c_0_1344,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
i_0_35 ).
cnf(c_0_1345,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
i_0_215 ).
cnf(c_0_1346,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),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_1342,c_0_1343]),c_0_1344])]) ).
cnf(c_0_1347,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != esk1_0,
i_0_216 ).
cnf(c_0_1348,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1345,c_0_1346]),c_0_1347]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW268+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n017.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 : Sat Jun 4 18:34:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.53 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.38/3.26 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.38/3.26 # No SInE strategy applied
% 10.38/3.26 # Trying AutoSched0 for 150 seconds
% 10.38/3.26 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 10.38/3.26 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.38/3.26 #
% 10.38/3.26 # Preprocessing time : 0.019 s
% 10.38/3.26
% 10.38/3.26 # Proof found!
% 10.38/3.26 # SZS status Theorem
% 10.38/3.26 # SZS output start CNFRefutation
% See solution above
% 10.38/3.26 # Training examples: 0 positive, 0 negative
% 10.38/3.26
% 10.38/3.26 # -------------------------------------------------
% 10.38/3.26 # User time : 0.062 s
% 10.38/3.26 # System time : 0.008 s
% 10.38/3.26 # Total time : 0.070 s
% 10.38/3.26 # Maximum resident set size: 7380 pages
% 10.38/3.26
%------------------------------------------------------------------------------