TSTP Solution File: SWW213+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW213+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 00:10:18 EDT 2022
% Result : Theorem 0.44s 15.63s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 33 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 28 ( 1 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
! [X19] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X19) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
=> ( ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X19),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,X3))
=> v_thesis____ ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_poly__offset__poly,axiom,
! [X4,X8,X6,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(c_Polynomial_Opoly(X7,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X6,X8)),X4) = hAPP(c_Polynomial_Opoly(X7,X6),c_Groups_Oplus__class_Oplus(X7,X8,X4)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_poly__offset__poly) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_degree__offset__poly,axiom,
! [X8,X6,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Odegree(X7,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X6,X8)) = c_Polynomial_Odegree(X7,X6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_degree__offset__poly) ).
fof(c_0_5,negated_conjecture,
~ v_thesis____,
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_6,hypothesis,
! [X20] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,X20) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X20),esk24_1(X20)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,esk24_1(X20)))
| v_thesis____ ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])]) ).
fof(c_0_7,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
( v_thesis____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk24_1(X1)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,esk24_1(X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X1) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X9,X10,X11,X12] :
( ~ class_Rings_Ocomm__semiring__0(X12)
| hAPP(c_Polynomial_Opoly(X12,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X12,X11,X10)),X9) = hAPP(c_Polynomial_Opoly(X12,X11),c_Groups_Oplus__class_Oplus(X12,X10,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__offset__poly])]) ).
cnf(c_0_11,hypothesis,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk24_1(X1)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,esk24_1(X1)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X1) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,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) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_14,hypothesis,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,esk24_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_z,esk24_1(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2))))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
fof(c_0_15,plain,
! [X9,X10,X11] :
( ~ class_Rings_Ocomm__semiring__0(X11)
| c_Polynomial_Odegree(X11,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X11,X10,X9)) = c_Polynomial_Odegree(X11,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__offset__poly])]) ).
cnf(c_0_16,hypothesis,
c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,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) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW213+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 01:13:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.44/15.63 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.44/15.63 # Preprocessing time : 0.149 s
% 0.44/15.63
% 0.44/15.63 # Proof found!
% 0.44/15.63 # SZS status Theorem
% 0.44/15.63 # SZS output start CNFRefutation
% See solution above
% 0.44/15.63 # Proof object total steps : 19
% 0.44/15.63 # Proof object clause steps : 9
% 0.44/15.63 # Proof object formula steps : 10
% 0.44/15.63 # Proof object conjectures : 4
% 0.44/15.63 # Proof object clause conjectures : 1
% 0.44/15.63 # Proof object formula conjectures : 3
% 0.44/15.63 # Proof object initial clauses used : 5
% 0.44/15.63 # Proof object initial formulas used : 5
% 0.44/15.63 # Proof object generating inferences : 3
% 0.44/15.63 # Proof object simplifying inferences : 5
% 0.44/15.63 # Training examples: 0 positive, 0 negative
% 0.44/15.63 # Parsed axioms : 1264
% 0.44/15.63 # Removed by relevancy pruning/SinE : 0
% 0.44/15.63 # Initial clauses : 1671
% 0.44/15.63 # Removed in clause preprocessing : 81
% 0.44/15.63 # Initial clauses in saturation : 1590
% 0.44/15.63 # Processed clauses : 44874
% 0.44/15.63 # ...of these trivial : 663
% 0.44/15.63 # ...subsumed : 35238
% 0.44/15.63 # ...remaining for further processing : 8973
% 0.44/15.63 # Other redundant clauses eliminated : 821
% 0.44/15.63 # Clauses deleted for lack of memory : 436643
% 0.44/15.63 # Backward-subsumed : 278
% 0.44/15.63 # Backward-rewritten : 496
% 0.44/15.63 # Generated clauses : 646330
% 0.44/15.63 # ...of the previous two non-trivial : 592996
% 0.44/15.63 # Contextual simplify-reflections : 9869
% 0.44/15.63 # Paramodulations : 645170
% 0.44/15.63 # Factorizations : 27
% 0.44/15.63 # Equation resolutions : 1132
% 0.44/15.63 # Current number of processed clauses : 8159
% 0.44/15.63 # Positive orientable unit clauses : 576
% 0.44/15.63 # Positive unorientable unit clauses: 32
% 0.44/15.63 # Negative unit clauses : 334
% 0.44/15.63 # Non-unit-clauses : 7217
% 0.44/15.63 # Current number of unprocessed clauses: 97552
% 0.44/15.63 # ...number of literals in the above : 391522
% 0.44/15.63 # Current number of archived formulas : 0
% 0.44/15.63 # Current number of archived clauses : 776
% 0.44/15.63 # Clause-clause subsumption calls (NU) : 10865397
% 0.44/15.63 # Rec. Clause-clause subsumption calls : 7250262
% 0.44/15.63 # Non-unit clause-clause subsumptions : 26098
% 0.44/15.63 # Unit Clause-clause subsumption calls : 79760
% 0.44/15.63 # Rewrite failures with RHS unbound : 0
% 0.44/15.63 # BW rewrite match attempts : 14587
% 0.44/15.63 # BW rewrite match successes : 609
% 0.44/15.63 # Condensation attempts : 0
% 0.44/15.63 # Condensation successes : 0
% 0.44/15.63 # Termbank termtop insertions : 16261170
% 0.44/15.63
% 0.44/15.63 # -------------------------------------------------
% 0.44/15.63 # User time : 14.635 s
% 0.44/15.63 # System time : 0.139 s
% 0.44/15.63 # Total time : 14.774 s
% 0.44/15.63 # Maximum resident set size: 144716 pages
% 0.44/23.53 eprover: CPU time limit exceeded, terminating
% 0.44/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.55 eprover: No such file or directory
% 0.44/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.55 eprover: No such file or directory
% 0.44/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.55 eprover: No such file or directory
% 0.44/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.56 eprover: No such file or directory
% 0.44/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.56 eprover: No such file or directory
% 0.44/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.57 eprover: No such file or directory
% 0.44/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.57 eprover: No such file or directory
% 0.44/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.57 eprover: No such file or directory
% 0.44/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.58 eprover: No such file or directory
% 0.44/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.58 eprover: No such file or directory
% 0.44/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.59 eprover: No such file or directory
% 0.44/23.61 eprover: CPU time limit exceeded, terminating
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.65 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.66 eprover: No such file or directory
% 0.44/23.71 eprover: CPU time limit exceeded, terminating
% 0.44/23.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.73 eprover: No such file or directory
% 0.44/23.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.73 eprover: No such file or directory
% 0.44/23.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.74 eprover: No such file or directory
% 0.44/23.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.74 eprover: No such file or directory
% 0.44/23.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.74 eprover: No such file or directory
% 0.44/23.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.75 eprover: No such file or directory
% 0.44/23.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.75 eprover: No such file or directory
% 0.44/23.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.75 eprover: No such file or directory
% 0.44/23.76 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.76 eprover: No such file or directory
% 0.44/23.76 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.44/23.76 eprover: No such file or directory
%------------------------------------------------------------------------------