TSTP Solution File: SWW186+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW186+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 00:01:42 EDT 2022
% Result : Theorem 8.91s 3.06s
% Output : CNFRefutation 8.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 13 unt; 0 nHn; 23 RR)
% Number of literals : 51 ( 30 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1108,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X3,X1),c_Polynomial_OpCons(X2,X4,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_1108) ).
cnf(i_0_184,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_184) ).
cnf(i_0_1563,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_1563) ).
cnf(i_0_1357,plain,
( c_Polynomial_Osmult(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/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_1357) ).
cnf(i_0_183,hypothesis,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_183) ).
cnf(i_0_262,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_262) ).
cnf(i_0_175,plain,
( class_Groups_Ocomm__monoid__add(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_175) ).
cnf(i_0_185,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) != v_a
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != v_p ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_185) ).
cnf(i_0_1183,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Polynomial_OpCons(X2,X1,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Groups_Ozero(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_1183) ).
cnf(i_0_178,plain,
( class_Groups_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-83rme5n8/lgb.p',i_0_178) ).
cnf(c_0_1574,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X3,X1),c_Polynomial_OpCons(X2,X4,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
i_0_1108 ).
cnf(c_0_1575,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
i_0_184 ).
cnf(c_0_1576,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
i_0_1563 ).
cnf(c_0_1577,plain,
( c_Polynomial_Osmult(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_1357 ).
cnf(c_0_1578,hypothesis,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
i_0_183 ).
cnf(c_0_1579,hypothesis,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1574,c_0_1575]),c_0_1576])]) ).
cnf(c_0_1580,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
i_0_262 ).
cnf(c_0_1581,plain,
( class_Groups_Ocomm__monoid__add(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_175 ).
cnf(c_0_1582,hypothesis,
c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(spm,[status(thm)],[c_0_1577,c_0_1576]) ).
cnf(c_0_1583,hypothesis,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1578,c_0_1579])]) ).
cnf(c_0_1584,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2) = X2
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(spm,[status(thm)],[c_0_1580,c_0_1581]) ).
cnf(c_0_1585,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,c_Polynomial_OpCons(t_a,v_a,v_p)) = v_p,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1575,c_0_1579]),c_0_1582]),c_0_1579]),c_0_1583]),c_0_1583]),c_0_1583]) ).
cnf(c_0_1586,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1584,c_0_1576]),c_0_1583]) ).
cnf(c_0_1587,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) != v_a
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != v_p ),
i_0_185 ).
cnf(c_0_1588,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Polynomial_OpCons(X2,X1,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Groups_Ozero(X2) ),
i_0_1183 ).
cnf(c_0_1589,hypothesis,
c_Polynomial_OpCons(t_a,v_a,v_p) = v_p,
inference(rw,[status(thm)],[c_0_1585,c_0_1586]) ).
cnf(c_0_1590,negated_conjecture,
c_Groups_Ozero__class_Ozero(t_a) != v_a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1587,c_0_1583])]) ).
cnf(c_0_1591,plain,
~ class_Groups_Ozero(t_a),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1588,c_0_1589]),c_0_1583])]),c_0_1590]) ).
cnf(c_0_1592,plain,
( class_Groups_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_178 ).
cnf(c_0_1593,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1591,c_0_1592]),c_0_1576])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWW186+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n029.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 16:14:05 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.48 # ENIGMATIC: Selected SinE mode:
% 0.20/0.54 # Parsing /export/starexec/sandbox/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
% 8.91/3.06 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.91/3.06 # No SInE strategy applied
% 8.91/3.06 # Trying AutoSched0 for 150 seconds
% 8.91/3.06 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.91/3.06 # and selection function SelectCQArNTNpEqFirst.
% 8.91/3.06 #
% 8.91/3.06 # Preprocessing time : 0.027 s
% 8.91/3.06 # Presaturation interreduction done
% 8.91/3.06
% 8.91/3.06 # Proof found!
% 8.91/3.06 # SZS status Theorem
% 8.91/3.06 # SZS output start CNFRefutation
% See solution above
% 8.91/3.06 # Training examples: 0 positive, 0 negative
% 8.91/3.06
% 8.91/3.06 # -------------------------------------------------
% 8.91/3.06 # User time : 0.045 s
% 8.91/3.06 # System time : 0.011 s
% 8.91/3.06 # Total time : 0.056 s
% 8.91/3.06 # Maximum resident set size: 7364 pages
% 8.91/3.06
%------------------------------------------------------------------------------