TSTP Solution File: SWW291+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWW291+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 300s
% DateTime : Tue May 21 06:45:13 EDT 2024
% Result : Theorem 173.40s 22.47s
% Output : CNFRefutation 173.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 46
% Syntax : Number of formulae : 188 ( 73 unt; 0 def)
% Number of atoms : 379 ( 216 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 312 ( 121 ~; 129 |; 7 &)
% ( 9 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 338 ( 6 sgn 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_divide__self,axiom,
! [X6,X7] :
( class_Rings_Odivision__ring(X7)
=> ( X6 != c_Groups_Ozero__class_Ozero(X7)
=> c_Rings_Oinverse__class_Odivide(X7,X6,X6) = c_Groups_Oone__class_Oone(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__self) ).
fof(fact_nonzero__eq__divide__eq,axiom,
! [X14,X12,X16,X7] :
( class_Rings_Odivision__ring(X7)
=> ( X16 != c_Groups_Ozero__class_Ozero(X7)
=> ( X12 = c_Rings_Oinverse__class_Odivide(X7,X14,X16)
<=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__eq__divide__eq) ).
fof(fact_a0,axiom,
v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_a0) ).
fof(fact_divide__1,axiom,
! [X6,X7] :
( class_Rings_Odivision__ring(X7)
=> c_Rings_Oinverse__class_Odivide(X7,X6,c_Groups_Oone__class_Oone(X7)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__1) ).
fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Odivision__ring) ).
fof(fact_smult__1__left,axiom,
! [X4,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> c_Polynomial_Osmult(X7,c_Groups_Oone__class_Oone(X7),X4) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__1__left) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_square__eq__iff,axiom,
! [X14,X12,X7] :
( class_Rings_Oidom(X7)
=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X12) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X14),X14)
<=> ( X12 = X14
| X12 = c_Groups_Ouminus__class_Ouminus(X7,X14) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_square__eq__iff) ).
fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
! [X30,X7] :
( class_Rings_Ocomm__ring__1(X7)
=> c_Groups_Ouminus__class_Ouminus(X7,X30) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Oone__class_Oone(X7))),X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Groups_Oone__class_Oone(X7)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(fact_equation__minus__iff,axiom,
! [X14,X12,X7] :
( class_Groups_Ogroup__add(X7)
=> ( X12 = c_Groups_Ouminus__class_Ouminus(X7,X14)
<=> X14 = c_Groups_Ouminus__class_Ouminus(X7,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_equation__minus__iff) ).
fof(fact_smult__pCons,axiom,
! [X4,X5,X6,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Osmult(X7,X6,c_Polynomial_OpCons(X7,X5,X4)) = c_Polynomial_OpCons(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5),c_Polynomial_Osmult(X7,X6,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__pCons) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__ring__1) ).
fof(fact_zero__neq__one,axiom,
! [X7] :
( class_Rings_Ozero__neq__one(X7)
=> c_Groups_Ozero__class_Ozero(X7) != c_Groups_Oone__class_Oone(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__neq__one) ).
fof(fact_mpoly__base__conv_I2_J,axiom,
! [X30,X13] : X13 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X13,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mpoly__base__conv_I2_J) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_minus__divide__left,axiom,
! [X5,X6,X7] :
( class_Rings_Odivision__ring(X7)
=> c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X6,X5)) = c_Rings_Oinverse__class_Odivide(X7,c_Groups_Ouminus__class_Ouminus(X7,X6),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__divide__left) ).
fof(fact_minus__divide__right,axiom,
! [X5,X6,X7] :
( class_Fields_Ofield__inverse__zero(X7)
=> c_Groups_Ouminus__class_Ouminus(X7,c_Rings_Oinverse__class_Odivide(X7,X6,X5)) = c_Rings_Oinverse__class_Odivide(X7,X6,c_Groups_Ouminus__class_Ouminus(X7,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__divide__right) ).
fof(fact_minus__mult__commute,axiom,
! [X5,X6,X7] :
( class_Rings_Oring(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Ouminus__class_Ouminus(X7,X6)),X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Groups_Ouminus__class_Ouminus(X7,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__mult__commute) ).
fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield__inverse__zero) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X19,X20,X22,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X22),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X20),X19)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X20),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X22),X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
class_Rings_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring) ).
fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ozero__neq__one) ).
fof(fact_frac__eq__eq,axiom,
! [X26,X24,X23,X25,X7] :
( class_Fields_Ofield(X7)
=> ( X25 != c_Groups_Ozero__class_Ozero(X7)
=> ( X23 != c_Groups_Ozero__class_Ozero(X7)
=> ( c_Rings_Oinverse__class_Odivide(X7,X24,X25) = c_Rings_Oinverse__class_Odivide(X7,X26,X23)
<=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X24),X23) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X26),X25) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_frac__eq__eq) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X5,X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X5),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_times__divide__eq__right,axiom,
! [X13,X5,X6,X7] :
( class_Rings_Odivision__ring(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),c_Rings_Oinverse__class_Odivide(X7,X5,X13)) = c_Rings_Oinverse__class_Odivide(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5),X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_times__divide__eq__right) ).
fof(fact_dvd__triv__right,axiom,
! [X5,X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> c_Rings_Odvd__class_Odvd(X7,X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dvd__triv__right) ).
fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(fact_minus__mult__left,axiom,
! [X5,X6,X7] :
( class_Rings_Oring(X7)
=> c_Groups_Ouminus__class_Ouminus(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Ouminus__class_Ouminus(X7,X6)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__mult__left) ).
fof(fact_dvd__minus__iff,axiom,
! [X25,X24,X7] :
( class_Rings_Ocomm__ring__1(X7)
=> ( c_Rings_Odvd__class_Odvd(X7,X24,c_Groups_Ouminus__class_Ouminus(X7,X25))
<=> c_Rings_Odvd__class_Odvd(X7,X24,X25) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dvd__minus__iff) ).
fof(fact_dvd__mult2,axiom,
! [X13,X5,X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> ( c_Rings_Odvd__class_Odvd(X7,X6,X5)
=> c_Rings_Odvd__class_Odvd(X7,X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X5),X13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dvd__mult2) ).
fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [X89] :
( class_Rings_Ocomm__semiring__1(X89)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
! [X89] :
( class_Groups_Oab__group__add(X89)
=> class_Groups_Ogroup__add(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ogroup__add) ).
fof(fact_dvd__0__left,axiom,
! [X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> ( c_Rings_Odvd__class_Odvd(X7,c_Groups_Ozero__class_Ozero(X7),X6)
=> X6 = c_Groups_Ozero__class_Ozero(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dvd__0__left) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X28,X29,X30,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X30),c_Groups_Oplus__class_Oplus(X7,X29,X28)) = c_Groups_Oplus__class_Oplus(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X30),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X30),X28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
fof(fact_diff__add__cancel,axiom,
! [X5,X6,X7] :
( class_Groups_Ogroup__add(X7)
=> c_Groups_Oplus__class_Oplus(X7,c_Groups_Ominus__class_Ominus(X7,X6,X5),X5) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__cancel) ).
fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oab__group__add) ).
fof(fact_nonzero__divide__eq__eq,axiom,
! [X12,X14,X16,X7] :
( class_Rings_Odivision__ring(X7)
=> ( X16 != c_Groups_Ozero__class_Ozero(X7)
=> ( c_Rings_Oinverse__class_Odivide(X7,X14,X16) = X12
<=> X14 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__divide__eq__eq) ).
fof(fact_t,axiom,
v_p_H = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_t____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_t) ).
fof(fact__096r_A_061_061_Asmult_Aa_Aq_A_N_Ap_H_096,axiom,
v_r = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),v_p_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096r_A_061_061_Asmult_Aa_Aq_A_N_Ap_H_096) ).
fof(conj_0,conjecture,
v_q = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_mult__smult__right,axiom,
! [X10,X6,X4,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X4),c_Polynomial_Osmult(X7,X6,X10)) = c_Polynomial_Osmult(X7,X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X4),X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__smult__right) ).
fof(fact_u,axiom,
v_r = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_u____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_u) ).
fof(fact_smult__smult,axiom,
! [X4,X5,X6,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Osmult(X7,X6,c_Polynomial_Osmult(X7,X5,X4)) = c_Polynomial_Osmult(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X5),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__smult) ).
fof(c_0_46,plain,
! [X6,X7] :
( class_Rings_Odivision__ring(X7)
=> ( X6 != c_Groups_Ozero__class_Ozero(X7)
=> c_Rings_Oinverse__class_Odivide(X7,X6,X6) = c_Groups_Oone__class_Oone(X7) ) ),
inference(fof_simplification,[status(thm)],[fact_divide__self]) ).
fof(c_0_47,plain,
! [X214,X215] :
( ~ class_Rings_Odivision__ring(X215)
| X214 = c_Groups_Ozero__class_Ozero(X215)
| c_Rings_Oinverse__class_Odivide(X215,X214,X214) = c_Groups_Oone__class_Oone(X215) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_48,plain,
! [X14,X12,X16,X7] :
( class_Rings_Odivision__ring(X7)
=> ( X16 != c_Groups_Ozero__class_Ozero(X7)
=> ( X12 = c_Rings_Oinverse__class_Odivide(X7,X14,X16)
<=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) = X14 ) ) ),
inference(fof_simplification,[status(thm)],[fact_nonzero__eq__divide__eq]) ).
fof(c_0_49,plain,
v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[fact_a0]) ).
fof(c_0_50,plain,
! [X128,X129] :
( ~ class_Rings_Odivision__ring(X129)
| c_Rings_Oinverse__class_Odivide(X129,X128,c_Groups_Oone__class_Oone(X129)) = X128 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__1])])]) ).
cnf(c_0_51,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| c_Rings_Oinverse__class_Odivide(X1,X2,X2) = c_Groups_Oone__class_Oone(X1)
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring]) ).
fof(c_0_53,plain,
! [X207,X208,X209,X210] :
( ( X208 != c_Rings_Oinverse__class_Odivide(X210,X207,X209)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X210),X208),X209) = X207
| X209 = c_Groups_Ozero__class_Ozero(X210)
| ~ class_Rings_Odivision__ring(X210) )
& ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X210),X208),X209) != X207
| X208 = c_Rings_Oinverse__class_Odivide(X210,X207,X209)
| X209 = c_Groups_Ozero__class_Ozero(X210)
| ~ class_Rings_Odivision__ring(X210) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
fof(c_0_54,plain,
v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_nnf,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_57,plain,
! [X122,X123] :
( ~ class_Rings_Ocomm__semiring__1(X123)
| c_Polynomial_Osmult(X123,c_Groups_Oone__class_Oone(X123),X122) = X122 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__1__left])])]) ).
cnf(c_0_58,plain,
( X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
| X3 = c_Groups_Ozero__class_Ozero(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) != X4
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
v_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X2)) = X1
| X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_52])]) ).
cnf(c_0_61,plain,
( c_Polynomial_Osmult(X1,c_Groups_Oone__class_Oone(X1),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_63,plain,
! [X1884,X1885,X1886] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1885),X1885) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1884),X1884)
| X1885 = X1884
| X1885 = c_Groups_Ouminus__class_Ouminus(X1886,X1884)
| ~ class_Rings_Oidom(X1886) )
& ( X1885 != X1884
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1885),X1885) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1884),X1884)
| ~ class_Rings_Oidom(X1886) )
& ( X1885 != c_Groups_Ouminus__class_Ouminus(X1886,X1884)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1885),X1885) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1886),X1884),X1884)
| ~ class_Rings_Oidom(X1886) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_square__eq__iff])])])]) ).
fof(c_0_64,plain,
! [X2031,X2032] :
( ~ class_Rings_Ocomm__ring__1(X2032)
| c_Groups_Ouminus__class_Ouminus(X2032,X2031) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2032),c_Groups_Ouminus__class_Ouminus(X2032,c_Groups_Oone__class_Oone(X2032))),X2031) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J])])]) ).
cnf(c_0_65,plain,
( c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3) = X2
| X3 = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Odivision__ring(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_66,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60])]) ).
fof(c_0_67,plain,
! [X307,X308] :
( ~ class_Rings_Ocomm__semiring__1(X308)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X308),X307),c_Groups_Oone__class_Oone(X308)) = X307 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])])]) ).
fof(c_0_68,plain,
! [X1934,X1935,X1936] :
( ( X1935 != c_Groups_Ouminus__class_Ouminus(X1936,X1934)
| X1934 = c_Groups_Ouminus__class_Ouminus(X1936,X1935)
| ~ class_Groups_Ogroup__add(X1936) )
& ( X1934 != c_Groups_Ouminus__class_Ouminus(X1936,X1935)
| X1935 = c_Groups_Ouminus__class_Ouminus(X1936,X1934)
| ~ class_Groups_Ogroup__add(X1936) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equation__minus__iff])])])]) ).
fof(c_0_69,plain,
! [X734,X735,X736,X737] :
( ~ class_Rings_Ocomm__semiring__0(X737)
| c_Polynomial_Osmult(X737,X736,c_Polynomial_OpCons(X737,X735,X734)) = c_Polynomial_OpCons(X737,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X737),X736),X735),c_Polynomial_Osmult(X737,X736,X734)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__pCons])])]) ).
cnf(c_0_70,plain,
( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1),X2) = X2
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_56]),c_0_62])]) ).
cnf(c_0_71,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)
| X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
| ~ class_Rings_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( c_Groups_Ouminus__class_Ouminus(X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),X2)
| ~ class_Rings_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = X1
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_52])]) ).
cnf(c_0_74,plain,
class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring__1]) ).
cnf(c_0_75,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1)) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,plain,
( X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
| X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
| ~ class_Groups_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_77,plain,
! [X7] :
( class_Rings_Ozero__neq__one(X7)
=> c_Groups_Ozero__class_Ozero(X7) != c_Groups_Oone__class_Oone(X7) ),
inference(fof_simplification,[status(thm)],[fact_zero__neq__one]) ).
fof(c_0_78,plain,
! [X1736,X1737] : X1737 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1737,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1736),
inference(variable_rename,[status(thm)],[fact_mpoly__base__conv_I2_J]) ).
cnf(c_0_79,plain,
( c_Polynomial_Osmult(X1,X2,c_Polynomial_OpCons(X1,X3,X4)) = c_Polynomial_OpCons(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Polynomial_Osmult(X1,X2,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_70])]) ).
cnf(c_0_81,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
fof(c_0_82,plain,
! [X1957,X1958,X1959] :
( ~ class_Rings_Odivision__ring(X1959)
| c_Groups_Ouminus__class_Ouminus(X1959,c_Rings_Oinverse__class_Odivide(X1959,X1958,X1957)) = c_Rings_Oinverse__class_Odivide(X1959,c_Groups_Ouminus__class_Ouminus(X1959,X1958),X1957) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__left])])]) ).
fof(c_0_83,plain,
! [X1951,X1952,X1953] :
( ~ class_Fields_Ofield__inverse__zero(X1953)
| c_Groups_Ouminus__class_Ouminus(X1953,c_Rings_Oinverse__class_Odivide(X1953,X1952,X1951)) = c_Rings_Oinverse__class_Odivide(X1953,X1952,c_Groups_Ouminus__class_Ouminus(X1953,X1951)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__right])])]) ).
fof(c_0_84,plain,
! [X1890,X1891,X1892] :
( ~ class_Rings_Oring(X1892)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1892),c_Groups_Ouminus__class_Ouminus(X1892,X1891)),X1890) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1892),X1891),c_Groups_Ouminus__class_Ouminus(X1892,X1890)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__commute])])]) ).
cnf(c_0_85,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),c_Groups_Ouminus__class_Ouminus(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)
| ~ class_Rings_Oidom(X1) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_86,plain,
( c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_87,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X1,
inference(spm,[status(thm)],[c_0_75,c_0_62]) ).
cnf(c_0_88,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
cnf(c_0_89,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_90,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
fof(c_0_91,plain,
! [X167] :
( ~ class_Rings_Ozero__neq__one(X167)
| c_Groups_Ozero__class_Ozero(X167) != c_Groups_Oone__class_Oone(X167) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])]) ).
cnf(c_0_92,plain,
X1 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X2),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_93,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),X1),X2) = c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_80]),c_0_81])]) ).
cnf(c_0_94,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_95,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
| ~ class_Fields_Ofield__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_96,plain,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield__inverse__zero]) ).
fof(c_0_97,plain,
! [X245,X246,X247,X248] :
( ~ class_Rings_Ocomm__semiring__1(X248)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X247),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X246),X245)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X246),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X248),X247),X245)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J])])]) ).
cnf(c_0_98,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))
| ~ class_Rings_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_99,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])]) ).
cnf(c_0_100,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = X1,
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_101,plain,
class_Rings_Oring(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring]) ).
cnf(c_0_102,plain,
( ~ class_Rings_Ozero__neq__one(X1)
| c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oone__class_Oone(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_103,plain,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one]) ).
cnf(c_0_104,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_92]) ).
cnf(c_0_105,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1),X2) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)),
inference(spm,[status(thm)],[c_0_94,c_0_52]) ).
cnf(c_0_106,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_107,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_108,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101])]) ).
cnf(c_0_109,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
inference(spm,[status(thm)],[c_0_87,c_0_104]) ).
fof(c_0_111,plain,
! [X26,X24,X23,X25,X7] :
( class_Fields_Ofield(X7)
=> ( X25 != c_Groups_Ozero__class_Ozero(X7)
=> ( X23 != c_Groups_Ozero__class_Ozero(X7)
=> ( c_Rings_Oinverse__class_Odivide(X7,X24,X25) = c_Rings_Oinverse__class_Odivide(X7,X26,X23)
<=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X24),X23) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X26),X25) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_frac__eq__eq]) ).
fof(c_0_112,plain,
! [X249,X250,X251] :
( ~ class_Rings_Ocomm__semiring__1(X251)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X251),X250),X249) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X251),X249),X250) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])])]) ).
cnf(c_0_113,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
| c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_105]),c_0_106]),c_0_100]),c_0_52])]) ).
fof(c_0_114,plain,
! [X311,X312,X313,X314] :
( ~ class_Rings_Odivision__ring(X314)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X314),X313),c_Rings_Oinverse__class_Odivide(X314,X312,X311)) = c_Rings_Oinverse__class_Odivide(X314,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X314),X313),X312),X311) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__eq__right])])]) ).
cnf(c_0_115,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a))) = X1
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_87]),c_0_62])]) ).
cnf(c_0_116,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
fof(c_0_117,plain,
! [X489,X490,X491,X492,X493] :
( ( c_Rings_Oinverse__class_Odivide(X493,X490,X492) != c_Rings_Oinverse__class_Odivide(X493,X489,X491)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X490),X491) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X489),X492)
| X491 = c_Groups_Ozero__class_Ozero(X493)
| X492 = c_Groups_Ozero__class_Ozero(X493)
| ~ class_Fields_Ofield(X493) )
& ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X490),X491) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X493),X489),X492)
| c_Rings_Oinverse__class_Odivide(X493,X490,X492) = c_Rings_Oinverse__class_Odivide(X493,X489,X491)
| X491 = c_Groups_Ozero__class_Ozero(X493)
| X492 = c_Groups_Ozero__class_Ozero(X493)
| ~ class_Fields_Ofield(X493) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])])]) ).
cnf(c_0_118,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_119,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
| c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[c_0_113,c_0_110]) ).
cnf(c_0_120,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Odivide(X1,X3,X4)) = c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) = X1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_104]),c_0_116]) ).
fof(c_0_122,plain,
! [X374,X375,X376] :
( ~ class_Rings_Ocomm__semiring__1(X376)
| c_Rings_Odvd__class_Odvd(X376,X375,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X376),X374),X375)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__triv__right])])]) ).
cnf(c_0_123,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)
| X5 = c_Groups_Ozero__class_Ozero(X1)
| X3 = c_Groups_Ozero__class_Ozero(X1)
| c_Rings_Oinverse__class_Odivide(X1,X2,X3) != c_Rings_Oinverse__class_Odivide(X1,X4,X5)
| ~ class_Fields_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_124,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
cnf(c_0_125,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1),
inference(spm,[status(thm)],[c_0_118,c_0_62]) ).
cnf(c_0_126,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
| c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) != v_a ),
inference(spm,[status(thm)],[c_0_59,c_0_119]) ).
cnf(c_0_127,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_52])]) ).
cnf(c_0_128,plain,
( c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1)) = X2
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_121]),c_0_66]),c_0_124])]),c_0_116])]),c_0_125]) ).
fof(c_0_130,plain,
! [X1893,X1894,X1895] :
( ~ class_Rings_Oring(X1895)
| c_Groups_Ouminus__class_Ouminus(X1895,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1895),X1894),X1893)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1895),c_Groups_Ouminus__class_Ouminus(X1895,X1894)),X1893) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__left])])]) ).
cnf(c_0_131,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),X1)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)
| c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1) != v_a ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_132,plain,
! [X1971,X1972,X1973] :
( ( ~ c_Rings_Odvd__class_Odvd(X1973,X1972,c_Groups_Ouminus__class_Ouminus(X1973,X1971))
| c_Rings_Odvd__class_Odvd(X1973,X1972,X1971)
| ~ class_Rings_Ocomm__ring__1(X1973) )
& ( ~ c_Rings_Odvd__class_Odvd(X1973,X1972,X1971)
| c_Rings_Odvd__class_Odvd(X1973,X1972,c_Groups_Ouminus__class_Ouminus(X1973,X1971))
| ~ class_Rings_Ocomm__ring__1(X1973) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__minus__iff])])])]) ).
cnf(c_0_133,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_62])]) ).
cnf(c_0_134,plain,
( c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)
| ~ class_Rings_Oring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_135,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_100]),c_0_106])]) ).
fof(c_0_136,plain,
! [X377,X378,X379,X380] :
( ~ class_Rings_Ocomm__semiring__1(X380)
| ~ c_Rings_Odvd__class_Odvd(X380,X379,X378)
| c_Rings_Odvd__class_Odvd(X380,X379,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X380),X378),X377)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult2])])]) ).
cnf(c_0_137,plain,
( c_Rings_Odvd__class_Odvd(X1,X2,X3)
| ~ c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))
| ~ class_Rings_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_138,plain,
c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),X1),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_133])]) ).
cnf(c_0_139,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)))) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_101])]) ).
cnf(c_0_140,plain,
( c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))
| ~ class_Rings_Ocomm__semiring__1(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_141,plain,
( c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,X2)
| ~ c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)) ),
inference(spm,[status(thm)],[c_0_137,c_0_74]) ).
cnf(c_0_142,plain,
c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)),
inference(spm,[status(thm)],[c_0_138,c_0_105]) ).
fof(c_0_143,plain,
! [X3019] :
( ~ class_Rings_Ocomm__semiring__1(X3019)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X3019)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])])]) ).
fof(c_0_144,plain,
! [X3031] :
( ~ class_Groups_Oab__group__add(X3031)
| class_Groups_Ogroup__add(tc_Polynomial_Opoly(X3031)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])])]) ).
cnf(c_0_145,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_a),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_139]),c_0_90])]) ).
fof(c_0_146,plain,
! [X369,X370] :
( ~ class_Rings_Ocomm__semiring__1(X370)
| ~ c_Rings_Odvd__class_Odvd(X370,c_Groups_Ozero__class_Ozero(X370),X369)
| X369 = c_Groups_Ozero__class_Ozero(X370) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__left])])]) ).
cnf(c_0_147,plain,
( c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,X2)
| ~ c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_104]),c_0_62])]) ).
cnf(c_0_148,plain,
c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a)),X1),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
fof(c_0_149,plain,
! [X303,X304,X305,X306] :
( ~ class_Rings_Ocomm__semiring__1(X306)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X306),X305),c_Groups_Oplus__class_Oplus(X306,X304,X303)) = c_Groups_Oplus__class_Oplus(X306,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X306),X305),X304),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X306),X305),X303)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J])])]) ).
cnf(c_0_150,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
fof(c_0_151,plain,
! [X581,X582,X583] :
( ~ class_Groups_Ogroup__add(X583)
| c_Groups_Oplus__class_Oplus(X583,c_Groups_Ominus__class_Ominus(X583,X582,X581),X581) = X582 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])])]) ).
cnf(c_0_152,plain,
( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_153,plain,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__group__add]) ).
cnf(c_0_154,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_145]),c_0_106]),c_0_105]),c_0_100]),c_0_52])]) ).
cnf(c_0_155,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_156,plain,
c_Rings_Odvd__class_Odvd(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),X1),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
fof(c_0_157,plain,
! [X12,X14,X16,X7] :
( class_Rings_Odivision__ring(X7)
=> ( X16 != c_Groups_Ozero__class_Ozero(X7)
=> ( c_Rings_Oinverse__class_Odivide(X7,X14,X16) = X12
<=> X14 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X12),X16) ) ) ),
inference(fof_simplification,[status(thm)],[fact_nonzero__divide__eq__eq]) ).
cnf(c_0_158,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_159,plain,
v_p_H = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_t____),
inference(split_conjunct,[status(thm)],[fact_t]) ).
cnf(c_0_160,plain,
class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_150,c_0_62]) ).
cnf(c_0_161,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_162,plain,
v_r = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),v_p_H),
inference(split_conjunct,[status(thm)],[fact__096r_A_061_061_Asmult_Aa_Aq_A_N_Ap_H_096]) ).
cnf(c_0_163,plain,
class_Groups_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_164,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a
| c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) != v_a ),
inference(spm,[status(thm)],[c_0_59,c_0_154]) ).
cnf(c_0_165,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a
| X1 = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_154]),c_0_156]),c_0_62])]) ).
fof(c_0_166,plain,
! [X203,X204,X205,X206] :
( ( c_Rings_Oinverse__class_Odivide(X206,X204,X205) != X203
| X204 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X206),X203),X205)
| X205 = c_Groups_Ozero__class_Ozero(X206)
| ~ class_Rings_Odivision__ring(X206) )
& ( X204 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X206),X203),X205)
| c_Rings_Oinverse__class_Odivide(X206,X204,X205) = X203
| X205 = c_Groups_Ozero__class_Ozero(X206)
| ~ class_Rings_Odivision__ring(X206) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])])]) ).
fof(c_0_167,negated_conjecture,
v_q != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_168,plain,
! [X114,X115,X116,X117] :
( ~ class_Rings_Ocomm__semiring__0(X117)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X117)),X116),c_Polynomial_Osmult(X117,X115,X114)) = c_Polynomial_Osmult(X117,X115,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X117)),X116),X114)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__smult__right])])]) ).
cnf(c_0_169,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X1),v_p_H) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,v_t____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).
cnf(c_0_170,plain,
v_r = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_u____),
inference(split_conjunct,[status(thm)],[fact_u]) ).
cnf(c_0_171,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_r,v_p_H) = c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163])]) ).
fof(c_0_172,plain,
! [X124,X125,X126,X127] :
( ~ class_Rings_Ocomm__semiring__0(X127)
| c_Polynomial_Osmult(X127,X126,c_Polynomial_Osmult(X127,X125,X124)) = c_Polynomial_Osmult(X127,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X127),X126),X125),X124) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__smult])])]) ).
cnf(c_0_173,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = v_a,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_174,plain,
( X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)
| X3 = c_Groups_Ozero__class_Ozero(X1)
| c_Rings_Oinverse__class_Odivide(X1,X2,X3) != X4
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
fof(c_0_175,negated_conjecture,
v_q != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
inference(fof_nnf,[status(thm)],[c_0_167]) ).
cnf(c_0_176,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Osmult(X1,X3,X4)) = c_Polynomial_Osmult(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_177,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_178,plain,
( c_Polynomial_Osmult(X1,X2,c_Polynomial_Osmult(X1,X3,X4)) = c_Polynomial_Osmult(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_179,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),v_a),
inference(spm,[status(thm)],[c_0_127,c_0_173]) ).
cnf(c_0_180,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3)),X3) = X2
| X3 = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Odivision__ring(X1) ),
inference(er,[status(thm)],[c_0_174]) ).
cnf(c_0_181,negated_conjecture,
v_q != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_182,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_u____,v_t____))) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_81])]) ).
cnf(c_0_183,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)),X2) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_81])]) ).
cnf(c_0_184,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_a,v_a),v_a)) = X1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_179]),c_0_52])]),c_0_59]) ).
cnf(c_0_185,negated_conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_a),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q)) != v_q,
inference(rw,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_186,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_a),c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,X2)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X2),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_187,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_110]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW291+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n027.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 : 300
% 0.13/0.34 % DateTime : Sat May 18 20:21:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 173.40/22.47 # Version: 3.1.0
% 173.40/22.47 # Preprocessing class: FMLMSMSMSSSNFFN.
% 173.40/22.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 173.40/22.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 173.40/22.47 # Starting new_bool_3 with 300s (1) cores
% 173.40/22.47 # Starting new_bool_1 with 300s (1) cores
% 173.40/22.47 # Starting sh5l with 300s (1) cores
% 173.40/22.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32385 completed with status 0
% 173.40/22.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 173.40/22.47 # Preprocessing class: FMLMSMSMSSSNFFN.
% 173.40/22.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 173.40/22.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 173.40/22.47 # No SInE strategy applied
% 173.40/22.47 # Search class: FGHSM-SMLM32-DFFFFFNN
% 173.40/22.47 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 173.40/22.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 173.40/22.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 173.40/22.47 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 173.40/22.47 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 173.40/22.47 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 173.40/22.47 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 32396 completed with status 0
% 173.40/22.47 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 173.40/22.47 # Preprocessing class: FMLMSMSMSSSNFFN.
% 173.40/22.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 173.40/22.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 173.40/22.47 # No SInE strategy applied
% 173.40/22.47 # Search class: FGHSM-SMLM32-DFFFFFNN
% 173.40/22.47 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 173.40/22.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 173.40/22.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 173.40/22.47 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 173.40/22.47 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 173.40/22.47 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 173.40/22.47 # Preprocessing time : 0.019 s
% 173.40/22.47 # Presaturation interreduction done
% 173.40/22.47
% 173.40/22.47 # Proof found!
% 173.40/22.47 # SZS status Theorem
% 173.40/22.47 # SZS output start CNFRefutation
% See solution above
% 173.40/22.47 # Parsed axioms : 1211
% 173.40/22.47 # Removed by relevancy pruning/SinE : 0
% 173.40/22.47 # Initial clauses : 1793
% 173.40/22.47 # Removed in clause preprocessing : 122
% 173.40/22.47 # Initial clauses in saturation : 1671
% 173.40/22.47 # Processed clauses : 46982
% 173.40/22.47 # ...of these trivial : 2785
% 173.40/22.47 # ...subsumed : 30956
% 173.40/22.47 # ...remaining for further processing : 13241
% 173.40/22.47 # Other redundant clauses eliminated : 4522
% 173.40/22.47 # Clauses deleted for lack of memory : 0
% 173.40/22.47 # Backward-subsumed : 196
% 173.40/22.47 # Backward-rewritten : 2704
% 173.40/22.47 # Generated clauses : 1077868
% 173.40/22.47 # ...of the previous two non-redundant : 996783
% 173.40/22.47 # ...aggressively subsumed : 0
% 173.40/22.47 # Contextual simplify-reflections : 8
% 173.40/22.47 # Paramodulations : 1072834
% 173.40/22.47 # Factorizations : 365
% 173.40/22.47 # NegExts : 0
% 173.40/22.47 # Equation resolutions : 4673
% 173.40/22.47 # Disequality decompositions : 0
% 173.40/22.47 # Total rewrite steps : 1695803
% 173.40/22.47 # ...of those cached : 1619039
% 173.40/22.47 # Propositional unsat checks : 0
% 173.40/22.47 # Propositional check models : 0
% 173.40/22.47 # Propositional check unsatisfiable : 0
% 173.40/22.47 # Propositional clauses : 0
% 173.40/22.47 # Propositional clauses after purity: 0
% 173.40/22.47 # Propositional unsat core size : 0
% 173.40/22.47 # Propositional preprocessing time : 0.000
% 173.40/22.47 # Propositional encoding time : 0.000
% 173.40/22.47 # Propositional solver time : 0.000
% 173.40/22.47 # Success case prop preproc time : 0.000
% 173.40/22.47 # Success case prop encoding time : 0.000
% 173.40/22.47 # Success case prop solver time : 0.000
% 173.40/22.47 # Current number of processed clauses : 8910
% 173.40/22.47 # Positive orientable unit clauses : 5197
% 173.40/22.47 # Positive unorientable unit clauses: 256
% 173.40/22.47 # Negative unit clauses : 708
% 173.40/22.47 # Non-unit-clauses : 2749
% 173.40/22.47 # Current number of unprocessed clauses: 910085
% 173.40/22.47 # ...number of literals in the above : 2177119
% 173.40/22.47 # Current number of archived formulas : 0
% 173.40/22.47 # Current number of archived clauses : 4170
% 173.40/22.47 # Clause-clause subsumption calls (NU) : 1217439
% 173.40/22.47 # Rec. Clause-clause subsumption calls : 984072
% 173.40/22.47 # Non-unit clause-clause subsumptions : 12027
% 173.40/22.47 # Unit Clause-clause subsumption calls : 84266
% 173.40/22.47 # Rewrite failures with RHS unbound : 55293
% 173.40/22.47 # BW rewrite match attempts : 210663
% 173.40/22.47 # BW rewrite match successes : 4981
% 173.40/22.47 # Condensation attempts : 0
% 173.40/22.47 # Condensation successes : 0
% 173.40/22.47 # Termbank termtop insertions : 41483266
% 173.40/22.47 # Search garbage collected termcells : 22851
% 173.40/22.47
% 173.40/22.47 # -------------------------------------------------
% 173.40/22.47 # User time : 20.960 s
% 173.40/22.47 # System time : 0.582 s
% 173.40/22.47 # Total time : 21.542 s
% 173.40/22.47 # Maximum resident set size: 8616 pages
% 173.40/22.47
% 173.40/22.47 # -------------------------------------------------
% 173.40/22.47 # User time : 104.251 s
% 173.40/22.47 # System time : 3.177 s
% 173.40/22.47 # Total time : 107.428 s
% 173.40/22.47 # Maximum resident set size: 3100 pages
% 173.40/22.47 % E---3.1 exiting
%------------------------------------------------------------------------------