TSTP Solution File: SWW189+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW189+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 00:10:15 EDT 2022
% Result : Theorem 0.38s 8.58s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 17 unt; 0 def)
% Number of atoms : 117 ( 82 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 119 ( 52 ~; 47 |; 8 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 77 ( 4 sgn 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
? [X79] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X79) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
& ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X79),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X3)) ),
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(fact_psize__def,axiom,
! [X6,X7] :
( class_Groups_Ozero(X7)
=> ( ( X6 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X6) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X6 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X6) = c_Nat_OSuc(c_Polynomial_Odegree(X7,X6)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_psize__def) ).
fof(fact_Suc__eq__plus1,axiom,
! [X18] : c_Nat_OSuc(X18) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(fact_Suc__eq__plus1__left,axiom,
! [X18] : c_Nat_OSuc(X18) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X18),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Suc__eq__plus1__left) ).
fof(fact_order__root,axiom,
! [X17,X10,X7] :
( class_Rings_Oidom(X7)
=> ( hAPP(c_Polynomial_Opoly(X7,X10),X17) = c_Groups_Ozero__class_Ozero(X7)
<=> ( X10 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
| c_Polynomial_Oorder(X7,X17,X10) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_order__root) ).
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(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(fact_poly__0,axiom,
! [X4,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(c_Polynomial_Opoly(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))),X4) = c_Groups_Ozero__class_Ozero(X7) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_poly__0) ).
fof(fact_psize__eq__0__iff,axiom,
! [X10,X7] :
( class_Groups_Ozero(X7)
=> ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X10) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
<=> X10 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_psize__eq__0__iff) ).
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_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(fact_offset__poly__eq__0__iff,axiom,
! [X20,X10,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X10,X20) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
<=> X10 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_offset__poly__eq__0__iff) ).
fof(c_0_13,negated_conjecture,
~ ? [X79] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X79) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
& ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X79),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X3)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_14,negated_conjecture,
! [X80] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X80) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X80),esk22_1(X80)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(X80))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
fof(c_0_15,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])]) ).
fof(c_0_16,plain,
! [X8,X9] :
( ( X8 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X9,X8) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X9) )
& ( X8 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X9,X8) = c_Nat_OSuc(c_Polynomial_Odegree(X9,X8))
| ~ class_Groups_Ozero(X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__def])])]) ).
fof(c_0_17,plain,
! [X19] : c_Nat_OSuc(X19) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(c_0_18,plain,
! [X19] : c_Nat_OSuc(X19) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X19),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1__left]) ).
fof(c_0_19,plain,
! [X18,X19,X20] :
( ( hAPP(c_Polynomial_Opoly(X20,X19),X18) != c_Groups_Ozero__class_Ozero(X20)
| X19 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X20))
| c_Polynomial_Oorder(X20,X18,X19) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Rings_Oidom(X20) )
& ( X19 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X20))
| hAPP(c_Polynomial_Opoly(X20,X19),X18) = c_Groups_Ozero__class_Ozero(X20)
| ~ class_Rings_Oidom(X20) )
& ( c_Polynomial_Oorder(X20,X18,X19) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(X20,X19),X18) = c_Groups_Ozero__class_Ozero(X20)
| ~ class_Rings_Oidom(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__root])])]) ).
cnf(c_0_20,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk22_1(X1)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(X1)))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,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_15]) ).
cnf(c_0_22,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_23,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Nat_OSuc(c_Polynomial_Odegree(X1,X2))
| X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,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_19]) ).
cnf(c_0_27,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
fof(c_0_28,plain,
! [X8,X9] :
( ~ class_Rings_Ocomm__semiring__0(X9)
| hAPP(c_Polynomial_Opoly(X9,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))),X8) = c_Groups_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])]) ).
cnf(c_0_29,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,esk22_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_a,esk22_1(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_30,plain,
( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| ~ class_Groups_Ozero(X1) ),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk22_1(X1)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_26]),c_0_27])]) ).
cnf(c_0_33,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_28]) ).
fof(c_0_34,plain,
! [X11,X12] :
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X12,X11) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X11 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X12))
| ~ class_Groups_Ozero(X12) )
& ( X11 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X12))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X12,X11) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__eq__0__iff])])]) ).
cnf(c_0_35,negated_conjecture,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(X1,X2))
| X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
fof(c_0_38,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_39,negated_conjecture,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22])]) ).
cnf(c_0_40,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X1)
| X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_42,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_38]) ).
cnf(c_0_43,negated_conjecture,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37])]) ).
fof(c_0_44,plain,
! [X21,X22,X23] :
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X23,X22,X21) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X23))
| X22 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X23))
| ~ class_Rings_Ocomm__semiring__0(X23) )
& ( X22 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X23))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X23,X22,X21) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X23))
| ~ class_Rings_Ocomm__semiring__0(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__iff])])]) ).
cnf(c_0_45,negated_conjecture,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_22])]) ).
cnf(c_0_46,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_37])]) ).
cnf(c_0_47,plain,
( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_37])]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_22])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW189+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n017.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 : Mon Jun 6 01:57:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/8.58 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.38/8.58 # Preprocessing time : 0.118 s
% 0.38/8.58
% 0.38/8.58 # Proof found!
% 0.38/8.58 # SZS status Theorem
% 0.38/8.58 # SZS output start CNFRefutation
% See solution above
% 0.38/8.58 # Proof object total steps : 50
% 0.38/8.58 # Proof object clause steps : 26
% 0.38/8.58 # Proof object formula steps : 24
% 0.38/8.58 # Proof object conjectures : 14
% 0.38/8.58 # Proof object clause conjectures : 11
% 0.38/8.58 # Proof object formula conjectures : 3
% 0.38/8.58 # Proof object initial clauses used : 13
% 0.38/8.58 # Proof object initial formulas used : 13
% 0.38/8.58 # Proof object generating inferences : 10
% 0.38/8.58 # Proof object simplifying inferences : 23
% 0.38/8.58 # Training examples: 0 positive, 0 negative
% 0.38/8.58 # Parsed axioms : 1150
% 0.38/8.58 # Removed by relevancy pruning/SinE : 0
% 0.38/8.58 # Initial clauses : 1634
% 0.38/8.58 # Removed in clause preprocessing : 91
% 0.38/8.58 # Initial clauses in saturation : 1543
% 0.38/8.58 # Processed clauses : 26794
% 0.38/8.58 # ...of these trivial : 403
% 0.38/8.58 # ...subsumed : 21372
% 0.38/8.58 # ...remaining for further processing : 5019
% 0.38/8.58 # Other redundant clauses eliminated : 1878
% 0.38/8.58 # Clauses deleted for lack of memory : 151825
% 0.38/8.58 # Backward-subsumed : 360
% 0.38/8.58 # Backward-rewritten : 149
% 0.38/8.58 # Generated clauses : 310700
% 0.38/8.58 # ...of the previous two non-trivial : 287060
% 0.38/8.58 # Contextual simplify-reflections : 8001
% 0.38/8.58 # Paramodulations : 308543
% 0.38/8.58 # Factorizations : 20
% 0.38/8.58 # Equation resolutions : 2137
% 0.38/8.58 # Current number of processed clauses : 4470
% 0.38/8.58 # Positive orientable unit clauses : 296
% 0.38/8.58 # Positive unorientable unit clauses: 13
% 0.38/8.58 # Negative unit clauses : 127
% 0.38/8.58 # Non-unit-clauses : 4034
% 0.38/8.58 # Current number of unprocessed clauses: 96653
% 0.38/8.58 # ...number of literals in the above : 324569
% 0.38/8.58 # Current number of archived formulas : 0
% 0.38/8.58 # Current number of archived clauses : 510
% 0.38/8.58 # Clause-clause subsumption calls (NU) : 8096936
% 0.38/8.58 # Rec. Clause-clause subsumption calls : 3736955
% 0.38/8.58 # Non-unit clause-clause subsumptions : 19651
% 0.38/8.58 # Unit Clause-clause subsumption calls : 25488
% 0.38/8.58 # Rewrite failures with RHS unbound : 0
% 0.38/8.58 # BW rewrite match attempts : 7699
% 0.38/8.58 # BW rewrite match successes : 468
% 0.38/8.58 # Condensation attempts : 0
% 0.38/8.58 # Condensation successes : 0
% 0.38/8.58 # Termbank termtop insertions : 6066146
% 0.38/8.58
% 0.38/8.58 # -------------------------------------------------
% 0.38/8.58 # User time : 7.827 s
% 0.38/8.58 # System time : 0.097 s
% 0.38/8.58 # Total time : 7.924 s
% 0.38/8.58 # Maximum resident set size: 135764 pages
%------------------------------------------------------------------------------