%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW288+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 00:10:28 EDT 2022
% Result : Theorem 0.33s 1.52s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 45 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 13 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 7 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__096_B_Bx_O_Apoly_Ap_Ax_A_061_Apoly_Ap_A_I0_058_058_Ha_J_096,axiom,
! [X10] :
( ( class_Int_Oring__char__0(t_a)
& class_Rings_Oidom(t_a) )
=> hAPP(c_Polynomial_Opoly(t_a,v_p),X10) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096_B_Bx_O_Apoly_Ap_Ax_A_061_Apoly_Ap_A_I0_058_058_Ha_J_096) ).
fof(fact__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096,axiom,
( ( class_Int_Oring__char__0(t_a)
& class_Rings_Oidom(t_a) )
=> v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(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__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096) ).
fof(tfree_0,hypothesis,
class_Int_Oring__char__0(t_a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tfree_0) ).
fof(tfree_1,hypothesis,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tfree_1) ).
fof(fact_degree__pCons__0,axiom,
! [X9,X8] :
( class_Groups_Ozero(X8)
=> c_Polynomial_Odegree(X8,c_Polynomial_OpCons(X8,X9,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_degree__pCons__0) ).
fof(clrel_Int_Oring__char__0__Groups_Ozero,axiom,
! [X89] :
( class_Int_Oring__char__0(X89)
=> class_Groups_Ozero(X89) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',clrel_Int_Oring__char__0__Groups_Ozero) ).
fof(conj_0,conjecture,
c_Polynomial_Odegree(t_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_7,plain,
! [X11] :
( ~ class_Int_Oring__char__0(t_a)
| ~ class_Rings_Oidom(t_a)
| hAPP(c_Polynomial_Opoly(t_a,v_p),X11) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Bx_O_Apoly_Ap_Ax_A_061_Apoly_Ap_A_I0_058_058_Ha_J_096])])])]) ).
fof(c_0_8,plain,
( ~ class_Int_Oring__char__0(t_a)
| ~ class_Rings_Oidom(t_a)
| v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
inference(fof_nnf,[status(thm)],[fact__096p_A_061_A_091_058poly_Ap_A_I0_058_058_Ha_J_058_093_096]) ).
cnf(c_0_9,plain,
( hAPP(c_Polynomial_Opoly(t_a,v_p),X1) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a))
| ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
class_Int_Oring__char__0(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
cnf(c_0_11,hypothesis,
class_Rings_Oidom(t_a),
inference(split_conjunct,[status(thm)],[tfree_1]) ).
fof(c_0_12,plain,
! [X10,X11] :
( ~ class_Groups_Ozero(X11)
| c_Polynomial_Odegree(X11,c_Polynomial_OpCons(X11,X10,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X11)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__pCons__0])]) ).
fof(c_0_13,plain,
! [X90] :
( ~ class_Int_Oring__char__0(X90)
| class_Groups_Ozero(X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Int_Oring__char__0__Groups_Ozero])]) ).
cnf(c_0_14,plain,
( v_p = c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Rings_Oidom(t_a)
| ~ class_Int_Oring__char__0(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
hAPP(c_Polynomial_Opoly(t_a,v_p),X1) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
fof(c_0_16,negated_conjecture,
c_Polynomial_Odegree(t_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_17,plain,
( c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( class_Groups_Ozero(X1)
| ~ class_Int_Oring__char__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = v_p,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_10]),c_0_11])]) ).
cnf(c_0_20,plain,
hAPP(c_Polynomial_Opoly(t_a,v_p),X1) = hAPP(c_Polynomial_Opoly(t_a,v_p),X2),
inference(spm,[status(thm)],[c_0_15,c_0_15]) ).
fof(c_0_21,negated_conjecture,
c_Polynomial_Odegree(t_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Int_Oring__char__0(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = v_p,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
c_Polynomial_Odegree(t_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_10])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW288+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n028.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 11:31:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.52 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.33/1.52 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.33/1.52 # Preprocessing time : 0.058 s
% 0.33/1.52
% 0.33/1.52 # Proof found!
% 0.33/1.52 # SZS status Theorem
% 0.33/1.52 # SZS output start CNFRefutation
% See solution above
% 0.33/1.52 # Proof object total steps : 26
% 0.33/1.52 # Proof object clause steps : 13
% 0.33/1.52 # Proof object formula steps : 13
% 0.33/1.52 # Proof object conjectures : 4
% 0.33/1.52 # Proof object clause conjectures : 1
% 0.33/1.52 # Proof object formula conjectures : 3
% 0.33/1.52 # Proof object initial clauses used : 7
% 0.33/1.52 # Proof object initial formulas used : 7
% 0.33/1.52 # Proof object generating inferences : 4
% 0.33/1.52 # Proof object simplifying inferences : 9
% 0.33/1.52 # Training examples: 0 positive, 0 negative
% 0.33/1.52 # Parsed axioms : 1218
% 0.33/1.52 # Removed by relevancy pruning/SinE : 1117
% 0.33/1.52 # Initial clauses : 147
% 0.33/1.52 # Removed in clause preprocessing : 8
% 0.33/1.52 # Initial clauses in saturation : 139
% 0.33/1.52 # Processed clauses : 392
% 0.33/1.52 # ...of these trivial : 11
% 0.33/1.52 # ...subsumed : 189
% 0.33/1.52 # ...remaining for further processing : 192
% 0.33/1.52 # Other redundant clauses eliminated : 10
% 0.33/1.52 # Clauses deleted for lack of memory : 0
% 0.33/1.52 # Backward-subsumed : 3
% 0.33/1.52 # Backward-rewritten : 1
% 0.33/1.52 # Generated clauses : 1875
% 0.33/1.52 # ...of the previous two non-trivial : 1511
% 0.33/1.52 # Contextual simplify-reflections : 18
% 0.33/1.52 # Paramodulations : 1841
% 0.33/1.52 # Factorizations : 10
% 0.33/1.52 # Equation resolutions : 24
% 0.33/1.52 # Current number of processed clauses : 180
% 0.33/1.52 # Positive orientable unit clauses : 25
% 0.33/1.52 # Positive unorientable unit clauses: 2
% 0.33/1.52 # Negative unit clauses : 3
% 0.33/1.52 # Non-unit-clauses : 150
% 0.33/1.52 # Current number of unprocessed clauses: 1249
% 0.33/1.52 # ...number of literals in the above : 3466
% 0.33/1.52 # Current number of archived formulas : 0
% 0.33/1.52 # Current number of archived clauses : 4
% 0.33/1.52 # Clause-clause subsumption calls (NU) : 3109
% 0.33/1.52 # Rec. Clause-clause subsumption calls : 2598
% 0.33/1.52 # Non-unit clause-clause subsumptions : 180
% 0.33/1.52 # Unit Clause-clause subsumption calls : 14
% 0.33/1.52 # Rewrite failures with RHS unbound : 10
% 0.33/1.52 # BW rewrite match attempts : 341
% 0.33/1.52 # BW rewrite match successes : 15
% 0.33/1.52 # Condensation attempts : 0
% 0.33/1.52 # Condensation successes : 0
% 0.33/1.52 # Termbank termtop insertions : 53411
% 0.33/1.52
% 0.33/1.52 # -------------------------------------------------
% 0.33/1.52 # User time : 0.095 s
% 0.33/1.52 # System time : 0.006 s
% 0.33/1.52 # Total time : 0.101 s
% 0.33/1.52 # Maximum resident set size: 6144 pages
% 0.33/23.51 eprover: CPU time limit exceeded, terminating
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.59 eprover: No such file or directory
%------------------------------------------------------------------------------