TSTP Solution File: SWW284+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW284+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 0.36s 2.55s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 23 unt; 0 def)
% Number of atoms : 65 ( 42 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 49 ( 23 ~; 19 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 5 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_ext,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_ext) ).
fof(conj_0,hypothesis,
! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_coeff__0,axiom,
! [X15,X5] :
( class_Groups_Ozero(X5)
=> hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X15) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_coeff__0) ).
fof(fact_pe,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_pe) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(fact_poly__eq__iff,axiom,
! [X7,X6,X5] :
( ( class_Int_Oring__char__0(X5)
& class_Rings_Oidom(X5) )
=> ( c_Polynomial_Opoly(X5,X6) = c_Polynomial_Opoly(X5,X7)
<=> X6 = X7 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_poly__eq__iff) ).
fof(fact_poly__0,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> hAPP(c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_poly__0) ).
fof(conj_1,conjecture,
v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_1) ).
fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
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(c_0_11,plain,
! [X4,X5] :
( hAPP(X5,esk1_2(X4,X5)) != hAPP(X4,esk1_2(X4,X5))
| X5 = X4 ),
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_ext])])])])]) ).
fof(c_0_12,hypothesis,
! [X4] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(variable_rename,[status(thm)],[conj_0]) ).
fof(c_0_13,plain,
! [X16,X17] :
( ~ class_Groups_Ozero(X17)
| hAPP(c_Polynomial_Ocoeff(X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X17))),X16) = c_Groups_Ozero__class_Ozero(X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__0])]) ).
cnf(c_0_14,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pe]) ).
cnf(c_0_18,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
fof(c_0_19,plain,
! [X8,X9,X10] :
( ( c_Polynomial_Opoly(X10,X9) != c_Polynomial_Opoly(X10,X8)
| X9 = X8
| ~ class_Int_Oring__char__0(X10)
| ~ class_Rings_Oidom(X10) )
& ( X9 != X8
| c_Polynomial_Opoly(X10,X9) = c_Polynomial_Opoly(X10,X8)
| ~ class_Int_Oring__char__0(X10)
| ~ class_Rings_Oidom(X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__eq__iff])])]) ).
cnf(c_0_20,hypothesis,
( X1 = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)
| hAPP(X1,esk1_2(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
fof(c_0_22,plain,
! [X6,X7] :
( ~ class_Rings_Ocomm__semiring__0(X7)
| hAPP(c_Polynomial_Opoly(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))),X6) = c_Groups_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])]) ).
fof(c_0_23,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(assume_negation,[status(cth)],[conj_1]) ).
cnf(c_0_24,plain,
( X2 = X3
| ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1)
| c_Polynomial_Opoly(X1,X2) != c_Polynomial_Opoly(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Oring__char__0]) ).
cnf(c_0_26,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
cnf(c_0_27,hypothesis,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,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) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
fof(c_0_30,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( X1 = X2
| c_Polynomial_Opoly(tc_Complex_Ocomplex,X1) != c_Polynomial_Opoly(tc_Complex_Ocomplex,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_32,hypothesis,
( X1 = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p)
| hAPP(X1,esk1_2(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),X1)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_27]),c_0_27]) ).
cnf(c_0_33,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_17]),c_0_29])]) ).
cnf(c_0_34,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,hypothesis,
( v_q = X1
| c_Polynomial_Opoly(tc_Complex_Ocomplex,X1) != c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p) ),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_36,hypothesis,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_p),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
v_p != v_q,
inference(rw,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_38,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW284+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 4 12:22:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.36/2.55 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.36/2.55 # Preprocessing time : 0.116 s
% 0.36/2.55
% 0.36/2.55 # Proof found!
% 0.36/2.55 # SZS status Theorem
% 0.36/2.55 # SZS output start CNFRefutation
% See solution above
% 0.36/2.55 # Proof object total steps : 39
% 0.36/2.55 # Proof object clause steps : 21
% 0.36/2.55 # Proof object formula steps : 18
% 0.36/2.55 # Proof object conjectures : 5
% 0.36/2.55 # Proof object clause conjectures : 2
% 0.36/2.55 # Proof object formula conjectures : 3
% 0.36/2.55 # Proof object initial clauses used : 11
% 0.36/2.55 # Proof object initial formulas used : 11
% 0.36/2.55 # Proof object generating inferences : 8
% 0.36/2.55 # Proof object simplifying inferences : 10
% 0.36/2.55 # Training examples: 0 positive, 0 negative
% 0.36/2.55 # Parsed axioms : 1181
% 0.36/2.55 # Removed by relevancy pruning/SinE : 0
% 0.36/2.55 # Initial clauses : 1609
% 0.36/2.55 # Removed in clause preprocessing : 75
% 0.36/2.55 # Initial clauses in saturation : 1534
% 0.36/2.55 # Processed clauses : 4826
% 0.36/2.55 # ...of these trivial : 274
% 0.36/2.55 # ...subsumed : 2198
% 0.36/2.55 # ...remaining for further processing : 2354
% 0.36/2.55 # Other redundant clauses eliminated : 269
% 0.36/2.55 # Clauses deleted for lack of memory : 0
% 0.36/2.55 # Backward-subsumed : 50
% 0.36/2.55 # Backward-rewritten : 46
% 0.36/2.55 # Generated clauses : 48366
% 0.36/2.55 # ...of the previous two non-trivial : 43940
% 0.36/2.55 # Contextual simplify-reflections : 937
% 0.36/2.55 # Paramodulations : 47996
% 0.36/2.55 # Factorizations : 9
% 0.36/2.55 # Equation resolutions : 361
% 0.36/2.55 # Current number of processed clauses : 2235
% 0.36/2.55 # Positive orientable unit clauses : 315
% 0.36/2.55 # Positive unorientable unit clauses: 10
% 0.36/2.55 # Negative unit clauses : 37
% 0.36/2.55 # Non-unit-clauses : 1873
% 0.36/2.55 # Current number of unprocessed clauses: 38916
% 0.36/2.55 # ...number of literals in the above : 129582
% 0.36/2.55 # Current number of archived formulas : 0
% 0.36/2.55 # Current number of archived clauses : 97
% 0.36/2.55 # Clause-clause subsumption calls (NU) : 866394
% 0.36/2.55 # Rec. Clause-clause subsumption calls : 233002
% 0.36/2.55 # Non-unit clause-clause subsumptions : 2250
% 0.36/2.55 # Unit Clause-clause subsumption calls : 5724
% 0.36/2.55 # Rewrite failures with RHS unbound : 0
% 0.36/2.55 # BW rewrite match attempts : 1104
% 0.36/2.55 # BW rewrite match successes : 135
% 0.36/2.55 # Condensation attempts : 0
% 0.36/2.55 # Condensation successes : 0
% 0.36/2.55 # Termbank termtop insertions : 1240581
% 0.36/2.55
% 0.36/2.55 # -------------------------------------------------
% 0.36/2.55 # User time : 1.369 s
% 0.36/2.55 # System time : 0.040 s
% 0.36/2.55 # Total time : 1.409 s
% 0.36/2.55 # Maximum resident set size: 49216 pages
% 0.36/23.54 eprover: CPU time limit exceeded, terminating
% 0.36/23.55 eprover: CPU time limit exceeded, terminating
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.60 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.60 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.60 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.60 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.60 eprover: No such file or directory
% 0.36/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.61 eprover: No such file or directory
% 0.36/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.61 eprover: No such file or directory
% 0.36/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.62 eprover: No such file or directory
%------------------------------------------------------------------------------