TSTP Solution File: SWW189+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW189+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 14.04s 3.70s
% Output : CNFRefutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 22 RR)
% Number of literals : 67 ( 45 equ; 37 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_153,negated_conjecture,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk1_1(X1)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk1_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_153) ).
cnf(i_0_1396,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)),X4) = hAPP(c_Polynomial_Opoly(X1,X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1396) ).
cnf(i_0_27,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_27) ).
cnf(i_0_1344,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1344) ).
cnf(i_0_1425,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)
| ~ class_Groups_Ozero(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1425) ).
cnf(i_0_1088,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1088) ).
cnf(i_0_1303,plain,
( hAPP(c_Polynomial_Opoly(X1,X2),X3) = c_Groups_Ozero__class_Ozero(X1)
| X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Oidom(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1303) ).
cnf(i_0_33,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_33) ).
cnf(i_0_17,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_17) ).
cnf(i_0_1426,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1426) ).
cnf(i_0_338,plain,
( c_Polynomial_Odegree(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)) = c_Polynomial_Odegree(X1,X2)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_338) ).
cnf(i_0_1241,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9e8decl/input.p',i_0_1241) ).
cnf(c_0_1439,negated_conjecture,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk1_1(X1)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk1_1(X1))) ),
i_0_153 ).
cnf(c_0_1440,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)),X4) = hAPP(c_Polynomial_Opoly(X1,X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_1396 ).
cnf(c_0_1441,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
i_0_27 ).
cnf(c_0_1442,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_1344 ).
cnf(c_0_1443,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,esk1_1(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk1_1(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1439,c_0_1440]),c_0_1441])]) ).
cnf(c_0_1444,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)
| ~ class_Groups_Ozero(X2) ),
i_0_1425 ).
cnf(c_0_1445,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
i_0_1088 ).
cnf(c_0_1446,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk1_1(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1439,c_0_1442]),c_0_1441])]) ).
cnf(c_0_1447,plain,
( hAPP(c_Polynomial_Opoly(X1,X2),X3) = c_Groups_Ozero__class_Ozero(X1)
| X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Oidom(X1) ),
i_0_1303 ).
cnf(c_0_1448,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
i_0_33 ).
cnf(c_0_1449,negated_conjecture,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p),
inference(er,[status(thm)],[c_0_1443]) ).
cnf(c_0_1450,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(X1,X2))
| X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(rw,[status(thm)],[c_0_1444,c_0_1445]) ).
cnf(c_0_1451,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
i_0_17 ).
cnf(c_0_1452,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1446,c_0_1447]),c_0_1448])]) ).
cnf(c_0_1453,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
i_0_1426 ).
cnf(c_0_1454,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1449,c_0_1450]),c_0_1451])]) ).
cnf(c_0_1455,plain,
( c_Polynomial_Odegree(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)) = c_Polynomial_Odegree(X1,X2)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
i_0_338 ).
cnf(c_0_1456,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1452,c_0_1453]),c_0_1451])]) ).
cnf(c_0_1457,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_1455]),c_0_1441])]) ).
cnf(c_0_1458,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1456,c_0_1453]),c_0_1451])]) ).
cnf(c_0_1459,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
i_0_1241 ).
cnf(c_0_1460,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1457,c_0_1450]),c_0_1451])]),c_0_1458]) ).
cnf(c_0_1461,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1460]),c_0_1441])]),c_0_1458]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW189+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n021.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 : Mon Jun 6 02:29:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.51 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.04/3.70 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 14.04/3.70 # Version: 2.1pre011
% 14.04/3.70 # Preprocessing time : 0.082 s
% 14.04/3.70
% 14.04/3.70 # Proof found!
% 14.04/3.70 # SZS status Theorem
% 14.04/3.70 # SZS output start CNFRefutation
% See solution above
% 14.04/3.70 # Proof object total steps : 35
% 14.04/3.70 # Proof object clause steps : 23
% 14.04/3.70 # Proof object formula steps : 12
% 14.04/3.70 # Proof object conjectures : 5
% 14.04/3.70 # Proof object clause conjectures : 4
% 14.04/3.70 # Proof object formula conjectures : 1
% 14.04/3.70 # Proof object initial clauses used : 12
% 14.04/3.70 # Proof object initial formulas used : 12
% 14.04/3.70 # Proof object generating inferences : 10
% 14.04/3.70 # Proof object simplifying inferences : 21
% 14.04/3.70 # Training examples: 0 positive, 0 negative
% 14.04/3.70 # Parsed axioms : 1533
% 14.04/3.70 # Removed by relevancy pruning/SinE : 0
% 14.04/3.70 # Initial clauses : 1533
% 14.04/3.70 # Removed in clause preprocessing : 0
% 14.04/3.70 # Initial clauses in saturation : 1533
% 14.04/3.70 # Processed clauses : 2106
% 14.04/3.70 # ...of these trivial : 34
% 14.04/3.70 # ...subsumed : 613
% 14.04/3.70 # ...remaining for further processing : 1459
% 14.04/3.70 # Other redundant clauses eliminated : 170
% 14.04/3.70 # Clauses deleted for lack of memory : 0
% 14.04/3.70 # Backward-subsumed : 11
% 14.04/3.70 # Backward-rewritten : 13
% 14.04/3.70 # Generated clauses : 26091
% 14.04/3.70 # ...of the previous two non-trivial : 23811
% 14.04/3.70 # Contextual simplify-reflections : 60
% 14.04/3.70 # Paramodulations : 25855
% 14.04/3.70 # Factorizations : 4
% 14.04/3.70 # Equation resolutions : 232
% 14.04/3.70 # Propositional unsat checks : 0
% 14.04/3.70 # Propositional unsat check successes : 0
% 14.04/3.70 # Current number of processed clauses : 1395
% 14.04/3.70 # Positive orientable unit clauses : 151
% 14.04/3.70 # Positive unorientable unit clauses: 9
% 14.04/3.70 # Negative unit clauses : 18
% 14.04/3.70 # Non-unit-clauses : 1217
% 14.04/3.70 # Current number of unprocessed clauses: 22623
% 14.04/3.70 # ...number of literals in the above : 81734
% 14.04/3.70 # Current number of archived formulas : 0
% 14.04/3.70 # Current number of archived clauses : 24
% 14.04/3.70 # Clause-clause subsumption calls (NU) : 219065
% 14.04/3.70 # Rec. Clause-clause subsumption calls : 122135
% 14.04/3.70 # Non-unit clause-clause subsumptions : 454
% 14.04/3.70 # Unit Clause-clause subsumption calls : 964
% 14.04/3.70 # Rewrite failures with RHS unbound : 0
% 14.04/3.70 # BW rewrite match attempts : 472
% 14.04/3.70 # BW rewrite match successes : 61
% 14.04/3.70 # Condensation attempts : 0
% 14.04/3.70 # Condensation successes : 0
% 14.04/3.70 # Termbank termtop insertions : 507921
% 14.04/3.70
% 14.04/3.70 # -------------------------------------------------
% 14.04/3.70 # User time : 0.531 s
% 14.04/3.70 # System time : 0.029 s
% 14.04/3.70 # Total time : 0.561 s
% 14.04/3.70 # ...preprocessing : 0.082 s
% 14.04/3.70 # ...main loop : 0.478 s
% 14.04/3.70 # Maximum resident set size: 32164 pages
% 14.04/3.70
%------------------------------------------------------------------------------