TSTP Solution File: SWW290+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW290+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 00:01:55 EDT 2022
% Result : Theorem 11.47s 3.20s
% Output : CNFRefutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 10 RR)
% Number of literals : 36 ( 19 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_901,plain,
( c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Omonom(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| ~ class_Groups_Ozero(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_901) ).
cnf(i_0_17,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_17) ).
cnf(i_0_1021,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),c_Polynomial_OpCons(X1,X2,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_1021) ).
cnf(i_0_25,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_25) ).
cnf(i_0_1023,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-xto_5f21/lgb.p',i_0_1023) ).
cnf(i_0_902,plain,
( c_Polynomial_Omonom(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_902) ).
cnf(i_0_293,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_293) ).
cnf(i_0_9,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_9) ).
cnf(i_0_208,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) != c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xto_5f21/lgb.p',i_0_208) ).
cnf(c_0_1033,plain,
( c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Omonom(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| ~ class_Groups_Ozero(X1) ),
i_0_901 ).
cnf(c_0_1034,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
i_0_17 ).
cnf(c_0_1035,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),c_Polynomial_OpCons(X1,X2,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_1021 ).
cnf(c_0_1036,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
i_0_25 ).
cnf(c_0_1037,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_1023 ).
cnf(c_0_1038,plain,
( c_Polynomial_Omonom(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
i_0_902 ).
cnf(c_0_1039,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
i_0_293 ).
cnf(c_0_1040,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
i_0_9 ).
cnf(c_0_1041,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) != c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
i_0_208 ).
cnf(c_0_1042,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Polynomial_Omonom(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(spm,[status(thm)],[c_0_1033,c_0_1034]) ).
cnf(c_0_1043,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X2),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2),X3))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2),c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X3)),
inference(spm,[status(thm)],[c_0_1035,c_0_1036]) ).
cnf(c_0_1044,plain,
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))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_1037,c_0_1036]) ).
cnf(c_0_1045,plain,
c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_1038,c_0_1034]) ).
cnf(c_0_1046,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X1,
inference(spm,[status(thm)],[c_0_1039,c_0_1040]) ).
cnf(c_0_1047,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) != c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
inference(rw,[status(thm)],[c_0_1041,c_0_1042]) ).
cnf(c_0_1048,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),c_Polynomial_Omonom(tc_Complex_Ocomplex,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_1044]),c_0_1042]),c_0_1045]),c_0_1046]),c_0_1042]) ).
cnf(c_0_1049,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1047,c_0_1048])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW290+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Mon Jun 6 03:29:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.52 # Parsing /export/starexec/sandbox2/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
% 11.47/3.20 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.47/3.20 # No SInE strategy applied
% 11.47/3.20 # Trying AutoSched0 for 150 seconds
% 11.47/3.20 # AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 11.47/3.20 # and selection function SelectCQArEqLast.
% 11.47/3.20 #
% 11.47/3.20 # Preprocessing time : 0.029 s
% 11.47/3.20 # Presaturation interreduction done
% 11.47/3.20
% 11.47/3.20 # Proof found!
% 11.47/3.20 # SZS status Theorem
% 11.47/3.20 # SZS output start CNFRefutation
% See solution above
% 11.47/3.20 # Training examples: 0 positive, 0 negative
% 11.47/3.20
% 11.47/3.20 # -------------------------------------------------
% 11.47/3.20 # User time : 0.324 s
% 11.47/3.20 # System time : 0.021 s
% 11.47/3.20 # Total time : 0.345 s
% 11.47/3.20 # Maximum resident set size: 7380 pages
% 11.47/3.20
%------------------------------------------------------------------------------