TSTP Solution File: SWW278+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW278+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 00:01:53 EDT 2022
% Result : Theorem 9.92s 2.90s
% Output : CNFRefutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 18 unt; 0 nHn; 17 RR)
% Number of literals : 51 ( 34 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 37 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_867,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = c_Groups_Ozero__class_Ozero(X1)
| X2 != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oring__no__zero__divisors(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_867) ).
cnf(i_0_569,plain,
( X1 = X2
| hAPP(X1,esk8_2(X2,X1)) != hAPP(X2,esk8_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_569) ).
cnf(i_0_34,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_34) ).
cnf(i_0_1276,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3)) = hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)),X3)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_1276) ).
cnf(i_0_583,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_583) ).
cnf(i_0_22,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_22) ).
cnf(i_0_955,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_955) ).
cnf(i_0_1373,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_1373) ).
cnf(i_0_203,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_nzc3s0e/lgb.p',i_0_203) ).
cnf(c_0_1383,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = c_Groups_Ozero__class_Ozero(X1)
| X2 != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oring__no__zero__divisors(X1) ),
i_0_867 ).
cnf(c_0_1384,plain,
( X1 = X2
| hAPP(X1,esk8_2(X2,X1)) != hAPP(X2,esk8_2(X2,X1)) ),
i_0_569 ).
cnf(c_0_1385,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oring__no__zero__divisors(X1) ),
inference(er,[status(thm)],[c_0_1383]) ).
cnf(c_0_1386,plain,
( hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)) = X2
| hAPP(X2,esk8_2(X2,hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)))) != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oring__no__zero__divisors(X1) ),
inference(spm,[status(thm)],[c_0_1384,c_0_1385]) ).
cnf(c_0_1387,plain,
( hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)) = hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ozero__class_Ozero(X2))
| c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oring__no__zero__divisors(X1)
| ~ class_Rings_Oring__no__zero__divisors(X2) ),
inference(spm,[status(thm)],[c_0_1386,c_0_1385]) ).
cnf(c_0_1388,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
i_0_34 ).
cnf(c_0_1389,plain,
( hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1))
| c_Groups_Ozero__class_Ozero(X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Rings_Oring__no__zero__divisors(X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1388]) ).
cnf(c_0_1390,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X1) = c_Groups_Ozero__class_Ozero(X2)
| c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_Rings_Oring__no__zero__divisors(X2) ),
inference(spm,[status(thm)],[c_0_1385,c_0_1389]) ).
cnf(c_0_1391,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3)) = hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)),X3)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_1276 ).
cnf(c_0_1392,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
i_0_583 ).
cnf(c_0_1393,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),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(er,[status(thm)],[c_0_1390]),c_0_1388])]) ).
cnf(c_0_1394,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
i_0_22 ).
cnf(c_0_1395,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),X1)),v_x____) = 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_1391,c_0_1392]),c_0_1393]),c_0_1394])]) ).
cnf(c_0_1396,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_955 ).
cnf(c_0_1397,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1395,c_0_1396]),c_0_1394])]) ).
cnf(c_0_1398,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),v_x____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),v_x____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1391,c_0_1397]),c_0_1394])]) ).
cnf(c_0_1399,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),v_s____)),v_x____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),v_x____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1391,c_0_1392]),c_0_1394])]) ).
cnf(c_0_1400,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),v_x____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = 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_1398,c_0_1396]),c_0_1397]),c_0_1394])]) ).
cnf(c_0_1401,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),v_s____)),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_1399,c_0_1400]) ).
cnf(c_0_1402,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
i_0_1373 ).
cnf(c_0_1403,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_x____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
i_0_203 ).
cnf(c_0_1404,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1401,c_0_1402]),c_0_1403]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW278+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 6 07:40:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.20/0.54 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.92/2.90 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.92/2.90 # No SInE strategy applied
% 9.92/2.90 # Trying AutoSched0 for 150 seconds
% 9.92/2.90 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.92/2.90 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.92/2.90 #
% 9.92/2.90 # Preprocessing time : 0.025 s
% 9.92/2.90 # Presaturation interreduction done
% 9.92/2.90
% 9.92/2.90 # Proof found!
% 9.92/2.90 # SZS status Theorem
% 9.92/2.90 # SZS output start CNFRefutation
% See solution above
% 9.92/2.90 # Training examples: 0 positive, 0 negative
% 9.92/2.90
% 9.92/2.90 # -------------------------------------------------
% 9.92/2.90 # User time : 0.048 s
% 9.92/2.90 # System time : 0.009 s
% 9.92/2.90 # Total time : 0.057 s
% 9.92/2.90 # Maximum resident set size: 7364 pages
% 9.92/2.90
%------------------------------------------------------------------------------