TSTP Solution File: SWW240+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW240+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 00:10:22 EDT 2022
% Result : Theorem 0.35s 2.53s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 41 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__0,axiom,
! [X86] :
( class_Rings_Ocomm__ring__1(X86)
=> class_Rings_Ocomm__semiring__0(X86) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__0) ).
fof(fact_poly__mult,axiom,
! [X4,X8,X9,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(c_Polynomial_Opoly(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X9),X8)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(c_Polynomial_Opoly(X7,X9),X4)),hAPP(c_Polynomial_Opoly(X7,X8),X4)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_poly__mult) ).
fof(tfree_0,hypothesis,
class_Rings_Ocomm__ring__1(t_a),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tfree_0) ).
fof(clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__1,axiom,
! [X86] :
( class_Rings_Ocomm__ring__1(X86)
=> class_Rings_Ocomm__semiring__1(X86) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__1) ).
fof(fact_poly__monom,axiom,
! [X4,X5,X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(c_Polynomial_Opoly(X7,c_Polynomial_Omonom(X7,X6,X5)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),hAPP(hAPP(c_Power_Opower__class_Opower(X7),X4),X5)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_poly__monom) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Oone__class_Oone(X7)),X6) = X6 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
fof(c_0_7,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,plain,
! [X87] :
( ~ class_Rings_Ocomm__ring__1(X87)
| class_Rings_Ocomm__semiring__0(X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__0])]) ).
fof(c_0_9,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X10,X11,X12,X13] :
( ~ class_Rings_Ocomm__semiring__0(X13)
| hAPP(c_Polynomial_Opoly(X13,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X13)),X12),X11)),X10) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),hAPP(c_Polynomial_Opoly(X13,X12),X10)),hAPP(c_Polynomial_Opoly(X13,X11),X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__mult])]) ).
cnf(c_0_11,plain,
( class_Rings_Ocomm__semiring__0(X1)
| ~ class_Rings_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
class_Rings_Ocomm__ring__1(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
fof(c_0_13,plain,
! [X87] :
( ~ class_Rings_Ocomm__ring__1(X87)
| class_Rings_Ocomm__semiring__1(X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__1])]) ).
cnf(c_0_14,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X4)),hAPP(c_Polynomial_Opoly(X1,X3),X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
! [X8,X9,X10,X11] :
( ~ class_Rings_Ocomm__semiring__1(X11)
| hAPP(c_Polynomial_Opoly(X11,c_Polynomial_Omonom(X11,X10,X9)),X8) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X10),hAPP(hAPP(c_Power_Opower__class_Opower(X11),X8),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__monom])]) ).
cnf(c_0_18,plain,
( class_Rings_Ocomm__semiring__1(X1)
| ~ class_Rings_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_x)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Omonom(X1,X2,X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,hypothesis,
class_Rings_Ocomm__semiring__1(t_a),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
fof(c_0_22,plain,
! [X8,X9] :
( ~ class_Rings_Ocomm__semiring__1(X9)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X9),c_Groups_Oone__class_Oone(X9)),X8) = X8 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])]) ).
cnf(c_0_23,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Oone__class_Oone(t_a)),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n))),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW240+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.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 : Sat Jun 4 09:57:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/2.53 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.35/2.53 # Preprocessing time : 0.086 s
% 0.35/2.53
% 0.35/2.53 # Proof found!
% 0.35/2.53 # SZS status Theorem
% 0.35/2.53 # SZS output start CNFRefutation
% See solution above
% 0.35/2.54 # Proof object total steps : 26
% 0.35/2.54 # Proof object clause steps : 12
% 0.35/2.54 # Proof object formula steps : 14
% 0.35/2.54 # Proof object conjectures : 7
% 0.35/2.54 # Proof object clause conjectures : 4
% 0.35/2.54 # Proof object formula conjectures : 3
% 0.35/2.54 # Proof object initial clauses used : 7
% 0.35/2.54 # Proof object initial formulas used : 7
% 0.35/2.54 # Proof object generating inferences : 5
% 0.35/2.54 # Proof object simplifying inferences : 6
% 0.35/2.54 # Training examples: 0 positive, 0 negative
% 0.35/2.54 # Parsed axioms : 1197
% 0.35/2.54 # Removed by relevancy pruning/SinE : 0
% 0.35/2.54 # Initial clauses : 1712
% 0.35/2.54 # Removed in clause preprocessing : 70
% 0.35/2.54 # Initial clauses in saturation : 1642
% 0.35/2.54 # Processed clauses : 2038
% 0.35/2.54 # ...of these trivial : 54
% 0.35/2.54 # ...subsumed : 506
% 0.35/2.54 # ...remaining for further processing : 1478
% 0.35/2.54 # Other redundant clauses eliminated : 470
% 0.35/2.54 # Clauses deleted for lack of memory : 0
% 0.35/2.54 # Backward-subsumed : 0
% 0.35/2.54 # Backward-rewritten : 101
% 0.35/2.54 # Generated clauses : 100969
% 0.35/2.54 # ...of the previous two non-trivial : 92976
% 0.35/2.54 # Contextual simplify-reflections : 54
% 0.35/2.54 # Paramodulations : 100427
% 0.35/2.54 # Factorizations : 8
% 0.35/2.54 # Equation resolutions : 528
% 0.35/2.54 # Current number of processed clauses : 1335
% 0.35/2.54 # Positive orientable unit clauses : 224
% 0.35/2.54 # Positive unorientable unit clauses: 14
% 0.35/2.54 # Negative unit clauses : 23
% 0.35/2.54 # Non-unit-clauses : 1074
% 0.35/2.54 # Current number of unprocessed clauses: 78066
% 0.35/2.54 # ...number of literals in the above : 268127
% 0.35/2.54 # Current number of archived formulas : 0
% 0.35/2.54 # Current number of archived clauses : 102
% 0.35/2.54 # Clause-clause subsumption calls (NU) : 152836
% 0.35/2.54 # Rec. Clause-clause subsumption calls : 91032
% 0.35/2.54 # Non-unit clause-clause subsumptions : 345
% 0.35/2.54 # Unit Clause-clause subsumption calls : 6137
% 0.35/2.54 # Rewrite failures with RHS unbound : 0
% 0.35/2.54 # BW rewrite match attempts : 618
% 0.35/2.54 # BW rewrite match successes : 119
% 0.35/2.54 # Condensation attempts : 0
% 0.35/2.54 # Condensation successes : 0
% 0.35/2.54 # Termbank termtop insertions : 2227139
% 0.35/2.54
% 0.35/2.54 # -------------------------------------------------
% 0.35/2.54 # User time : 1.086 s
% 0.35/2.54 # System time : 0.041 s
% 0.35/2.54 # Total time : 1.127 s
% 0.35/2.54 # Maximum resident set size: 77492 pages
% 0.35/23.53 eprover: CPU time limit exceeded, terminating
% 0.35/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.54 eprover: No such file or directory
% 0.35/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.55 eprover: No such file or directory
% 0.35/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.55 eprover: No such file or directory
% 0.35/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.56 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.57 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.58 eprover: No such file or directory
% 0.35/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.59 eprover: No such file or directory
% 0.35/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.59 eprover: No such file or directory
% 0.35/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/23.60 eprover: No such file or directory
%------------------------------------------------------------------------------