TSTP Solution File: SWW246+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 00:10:23 EDT 2022
% Result : Theorem 0.37s 2.55s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 37 ( 18 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 15 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 25 ( 6 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__C0_C,axiom,
( class_Rings_Oidom(t_a)
=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__C0_C) ).
fof(tfree_0,hypothesis,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tfree_0) ).
fof(fact_constant__def,axiom,
! [X2,X15,X5] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X5,X15,X2)
<=> ! [X3,X16] : hAPP(X2,X3) = hAPP(X2,X16) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_constant__def) ).
fof(fact_order__root,axiom,
! [X11,X4,X5] :
( class_Rings_Oidom(X5)
=> ( hAPP(c_Polynomial_Opoly(X5,X4),X11) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
| c_Polynomial_Oorder(X5,X11,X4) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_order__root) ).
fof(c_0_4,plain,
( ~ class_Rings_Oidom(t_a)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact__C0_C])]) ).
cnf(c_0_5,plain,
( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,hypothesis,
class_Rings_Oidom(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
fof(c_0_7,plain,
! [X17,X18,X19,X20,X21,X17,X18,X19] :
( ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X19,X18,X17)
| hAPP(X17,X20) = hAPP(X17,X21) )
& ( hAPP(X17,esk2_1(X17)) != hAPP(X17,esk3_1(X17))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X19,X18,X17) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_constant__def])])])])])]) ).
cnf(c_0_8,plain,
~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X2,X3)
| hAPP(X3,esk2_1(X3)) != hAPP(X3,esk3_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X12,X13,X14] :
( ( hAPP(c_Polynomial_Opoly(X14,X13),X12) != c_Groups_Ozero__class_Ozero(X14)
| X13 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X14))
| c_Polynomial_Oorder(X14,X12,X13) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Rings_Oidom(X14) )
& ( X13 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X14))
| hAPP(c_Polynomial_Opoly(X14,X13),X12) = c_Groups_Ozero__class_Ozero(X14)
| ~ class_Rings_Oidom(X14) )
& ( c_Polynomial_Oorder(X14,X12,X13) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(X14,X13),X12) = c_Groups_Ozero__class_Ozero(X14)
| ~ class_Rings_Oidom(X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__root])])]) ).
cnf(c_0_11,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk2_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk3_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( hAPP(c_Polynomial_Opoly(X1,X2),X3) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oidom(X1)
| X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk3_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != c_Groups_Ozero__class_Ozero(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_6])]) ).
cnf(c_0_14,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 20:48:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/2.55 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.37/2.55 # Preprocessing time : 0.108 s
% 0.37/2.55
% 0.37/2.55 # Proof found!
% 0.37/2.55 # SZS status Theorem
% 0.37/2.55 # SZS output start CNFRefutation
% See solution above
% 0.37/2.55 # Proof object total steps : 15
% 0.37/2.55 # Proof object clause steps : 8
% 0.37/2.55 # Proof object formula steps : 7
% 0.37/2.55 # Proof object conjectures : 0
% 0.37/2.55 # Proof object clause conjectures : 0
% 0.37/2.55 # Proof object formula conjectures : 0
% 0.37/2.55 # Proof object initial clauses used : 4
% 0.37/2.55 # Proof object initial formulas used : 4
% 0.37/2.55 # Proof object generating inferences : 3
% 0.37/2.55 # Proof object simplifying inferences : 6
% 0.37/2.55 # Training examples: 0 positive, 0 negative
% 0.37/2.55 # Parsed axioms : 1199
% 0.37/2.55 # Removed by relevancy pruning/SinE : 0
% 0.37/2.55 # Initial clauses : 1592
% 0.37/2.55 # Removed in clause preprocessing : 85
% 0.37/2.55 # Initial clauses in saturation : 1507
% 0.37/2.55 # Processed clauses : 1656
% 0.37/2.55 # ...of these trivial : 39
% 0.37/2.55 # ...subsumed : 281
% 0.37/2.55 # ...remaining for further processing : 1336
% 0.37/2.55 # Other redundant clauses eliminated : 229
% 0.37/2.55 # Clauses deleted for lack of memory : 0
% 0.37/2.55 # Backward-subsumed : 3
% 0.37/2.55 # Backward-rewritten : 4
% 0.37/2.55 # Generated clauses : 82777
% 0.37/2.55 # ...of the previous two non-trivial : 77928
% 0.37/2.55 # Contextual simplify-reflections : 25
% 0.37/2.55 # Paramodulations : 82481
% 0.37/2.55 # Factorizations : 4
% 0.37/2.55 # Equation resolutions : 287
% 0.37/2.55 # Current number of processed clauses : 1299
% 0.37/2.55 # Positive orientable unit clauses : 202
% 0.37/2.55 # Positive unorientable unit clauses: 14
% 0.37/2.55 # Negative unit clauses : 18
% 0.37/2.55 # Non-unit-clauses : 1065
% 0.37/2.55 # Current number of unprocessed clauses: 77658
% 0.37/2.55 # ...number of literals in the above : 283234
% 0.37/2.55 # Current number of archived formulas : 0
% 0.37/2.55 # Current number of archived clauses : 7
% 0.37/2.55 # Clause-clause subsumption calls (NU) : 213297
% 0.37/2.55 # Rec. Clause-clause subsumption calls : 113181
% 0.37/2.55 # Non-unit clause-clause subsumptions : 208
% 0.37/2.55 # Unit Clause-clause subsumption calls : 777
% 0.37/2.55 # Rewrite failures with RHS unbound : 892
% 0.37/2.55 # BW rewrite match attempts : 540
% 0.37/2.55 # BW rewrite match successes : 173
% 0.37/2.55 # Condensation attempts : 0
% 0.37/2.55 # Condensation successes : 0
% 0.37/2.55 # Termbank termtop insertions : 2352119
% 0.37/2.55
% 0.37/2.55 # -------------------------------------------------
% 0.37/2.55 # User time : 1.047 s
% 0.37/2.55 # System time : 0.044 s
% 0.37/2.55 # Total time : 1.091 s
% 0.37/2.55 # Maximum resident set size: 84988 pages
% 0.37/23.53 eprover: CPU time limit exceeded, terminating
% 0.37/23.54 eprover: CPU time limit exceeded, terminating
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.61 eprover: No such file or directory
% 0.37/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.61 eprover: No such file or directory
%------------------------------------------------------------------------------