TSTP Solution File: SWW227+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW227+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 00:10:20 EDT 2022
% Result : Theorem 0.37s 5.55s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of formulae : 108 ( 90 unt; 0 def)
% Number of atoms : 212 ( 59 equ)
% Maximal formula atoms : 62 ( 1 avg)
% Number of connectives : 181 ( 77 ~; 75 |; 15 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-3 aty)
% Number of variables : 134 ( 3 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_Bit0__def,axiom,
! [X10] : c_Int_OBit0(X10) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X10,X10),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Bit0__def) ).
fof(fact_Suc__eq__plus1,axiom,
! [X38] : c_Nat_OSuc(X38) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X38,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(fact_Bit1__def,axiom,
! [X10] : c_Int_OBit1(X10) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X10),X10),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Bit1__def) ).
fof(fact_nat__add__assoc,axiom,
! [X10,X38,X37] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X37,X38),X10) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X37,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X38,X10)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_nat__add__assoc) ).
fof(fact_add__Pls__right,axiom,
! [X10] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X10,c_Int_OPls) = X10,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_add__Pls__right) ).
fof(fact_abs__minus__add__cancel,axiom,
! [X13,X14] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X14,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X13))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X14))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_abs__minus__add__cancel) ).
fof(fact_real__diff__def,axiom,
! [X33,X27] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X27,X33) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X27,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X33)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__diff__def) ).
fof(fact_real__norm__def,axiom,
! [X27] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X27) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X27),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__norm__def) ).
fof(fact_real__of__nat__Suc,axiom,
! [X38] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X38)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X38),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__of__nat__Suc) ).
fof(fact_mult__2__right,axiom,
! [X12,X3] :
( class_Int_Onumber__ring(X3)
=> c_Groups_Otimes__class_Otimes(X3,X12,c_Int_Onumber__class_Onumber__of(X3,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X3,X12,X12) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_mult__2__right) ).
fof(fact_inverse__eq__divide,axiom,
! [X11,X3] :
( class_Rings_Odivision__ring(X3)
=> c_Rings_Oinverse__class_Oinverse(X3,X11) = c_Rings_Oinverse__class_Odivide(X3,c_Groups_Oone__class_Oone(X3),X11) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_inverse__eq__divide) ).
fof(fact_real__of__nat__Suc__gt__zero,axiom,
! [X38] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X38))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__of__nat__Suc__gt__zero) ).
fof(fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) ).
fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
class_Rings_Odivision__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring) ).
fof(fact_real__mult__1,axiom,
! [X12] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X12) = X12,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__mult__1) ).
fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(fact_mult__imp__less__div__pos,axiom,
! [X14,X12,X13,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X13)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Otimes__class_Otimes(X3,X12,X13),X14)
=> c_Orderings_Oord__class_Oless(X3,X12,c_Rings_Oinverse__class_Odivide(X3,X14,X13)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_mult__imp__less__div__pos) ).
fof(fact_nat__add__commute,axiom,
! [X38,X37] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X37,X38) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X38,X37),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_nat__add__commute) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(fact_real__of__nat__1,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__of__nat__1) ).
fof(fact_real__mult__commute,axiom,
! [X4,X12] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X12,X4) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4,X12),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__mult__commute) ).
fof(fact_real__divide__def,axiom,
! [X62,X63] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X63,X62) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X63,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X62)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__divide__def) ).
fof(fact_real__of__nat__add,axiom,
! [X38,X37] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X37,X38)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X37),c_RealDef_Oreal(tc_Nat_Onat,X38)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__of__nat__add) ).
fof(fact_divide__less__eq,axiom,
! [X26,X58,X43,X3] :
( class_Fields_Olinordered__field__inverse__zero(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X43,X58),X26)
<=> ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X58)
=> c_Orderings_Oord__class_Oless(X3,X43,c_Groups_Otimes__class_Otimes(X3,X26,X58)) )
& ( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X58)
=> ( ( c_Orderings_Oord__class_Oless(X3,X58,c_Groups_Ozero__class_Ozero(X3))
=> c_Orderings_Oord__class_Oless(X3,c_Groups_Otimes__class_Otimes(X3,X26,X58),X43) )
& ( ~ c_Orderings_Oord__class_Oless(X3,X58,c_Groups_Ozero__class_Ozero(X3))
=> c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X26) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_divide__less__eq) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(fact_pos__divide__less__eq,axiom,
! [X26,X43,X58,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X58)
=> ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X43,X58),X26)
<=> c_Orderings_Oord__class_Oless(X3,X43,c_Groups_Otimes__class_Otimes(X3,X26,X58)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_pos__divide__less__eq) ).
fof(fact_e,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_e) ).
fof(c_0_28,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_29,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_30,plain,
! [X11] : c_Int_OBit0(X11) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X11,X11),
inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).
fof(c_0_31,plain,
! [X39] : c_Nat_OSuc(X39) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X39,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(c_0_32,plain,
! [X11] : c_Int_OBit1(X11) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X11),X11),
inference(variable_rename,[status(thm)],[fact_Bit1__def]) ).
cnf(c_0_33,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,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_31]) ).
cnf(c_0_36,plain,
c_Int_OBit1(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X39,X40,X41] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X41,X40),X39) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X41,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X40,X39)),
inference(variable_rename,[status(thm)],[fact_nat__add__assoc]) ).
fof(c_0_38,plain,
! [X11] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X11,c_Int_OPls) = X11,
inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).
fof(c_0_39,plain,
! [X15,X16] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X16,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X15))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X15,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X16))),
inference(variable_rename,[status(thm)],[fact_abs__minus__add__cancel]) ).
fof(c_0_40,plain,
! [X34,X35] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X35,X34) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X35,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X34)),
inference(variable_rename,[status(thm)],[fact_real__diff__def]) ).
fof(c_0_41,plain,
! [X28] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X28) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X28),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_42,plain,
! [X39] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X39)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X39),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc]) ).
cnf(c_0_43,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_36]) ).
cnf(c_0_44,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_50,plain,
! [X13,X14] :
( ~ class_Int_Onumber__ring(X14)
| c_Groups_Otimes__class_Otimes(X14,X13,c_Int_Onumber__class_Onumber__of(X14,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X14,X13,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__2__right])]) ).
cnf(c_0_51,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_45]),c_0_45]),c_0_45]) ).
cnf(c_0_52,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_47]),c_0_48]) ).
cnf(c_0_53,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_49,c_0_35]) ).
fof(c_0_54,plain,
! [X12,X13] :
( ~ class_Rings_Odivision__ring(X13)
| c_Rings_Oinverse__class_Oinverse(X13,X12) = c_Rings_Oinverse__class_Odivide(X13,c_Groups_Oone__class_Oone(X13),X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__eq__divide])]) ).
cnf(c_0_55,plain,
( c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X2,X2)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_56,plain,
! [X39] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X39))),
inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc__gt__zero]) ).
cnf(c_0_57,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
inference(split_conjunct,[status(thm)],[fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096]) ).
cnf(c_0_58,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_48]),c_0_52]) ).
cnf(c_0_59,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_60,plain,
( c_Rings_Oinverse__class_Oinverse(X1,X2) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2)
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
class_Rings_Odivision__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring]) ).
fof(c_0_62,plain,
! [X13] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X13) = X13,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
cnf(c_0_63,plain,
( c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X2,X2)
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_34]),c_0_36]),c_0_36]) ).
cnf(c_0_64,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_34]),c_0_35]),c_0_36]),c_0_36]) ).
cnf(c_0_66,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Oplus__class_Oplus(X1,X2,X2)
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_45]),c_0_45]),c_0_45]),c_0_45]) ).
cnf(c_0_70,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
fof(c_0_71,plain,
! [X15,X16,X17,X18] :
( ~ class_Fields_Olinordered__field(X18)
| ~ c_Orderings_Oord__class_Oless(X18,c_Groups_Ozero__class_Ozero(X18),X17)
| ~ c_Orderings_Oord__class_Oless(X18,c_Groups_Otimes__class_Otimes(X18,X16,X17),X15)
| c_Orderings_Oord__class_Oless(X18,X16,c_Rings_Oinverse__class_Odivide(X18,X15,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__imp__less__div__pos])]) ).
cnf(c_0_72,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(rw,[status(thm)],[c_0_64,c_0_35]) ).
cnf(c_0_73,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_45]),c_0_45]),c_0_45]),c_0_45]),c_0_48]),c_0_44]) ).
fof(c_0_74,plain,
! [X39,X40] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X40,X39) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X39,X40),
inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).
cnf(c_0_75,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,plain,
c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_77,plain,
( c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Otimes__class_Otimes(X1,X2,X4),X3)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
| ~ class_Fields_Olinordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).
cnf(c_0_79,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(rw,[status(thm)],[c_0_72,c_0_53]) ).
cnf(c_0_80,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_real__of__nat__1]) ).
fof(c_0_81,plain,
! [X13,X14] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X14,X13) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X13,X14),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_82,plain,
! [X64,X65] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X65,X64) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X65,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X64)),
inference(variable_rename,[status(thm)],[fact_real__divide__def]) ).
cnf(c_0_83,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(rw,[status(thm)],[c_0_73,c_0_52]) ).
fof(c_0_84,plain,
! [X39,X40] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X40,X39)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X40),c_RealDef_Oreal(tc_Nat_Onat,X39)),
inference(variable_rename,[status(thm)],[fact_real__of__nat__add]) ).
cnf(c_0_85,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X3))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X3),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_89,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_90,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_91,plain,
! [X59,X60,X61,X62] :
( ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,X61,c_Groups_Otimes__class_Otimes(X62,X59,X60))
| ~ c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| c_Orderings_Oord__class_Oless(X62,c_Groups_Otimes__class_Otimes(X62,X59,X60),X61)
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| ~ c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X59)
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| ~ c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X59)
| c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Otimes__class_Otimes(X62,X59,X60),X61)
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X59)
| ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Otimes__class_Otimes(X62,X59,X60),X61)
| c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X60)
| ~ c_Orderings_Oord__class_Oless(X62,X61,c_Groups_Otimes__class_Otimes(X62,X59,X60))
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| ~ c_Orderings_Oord__class_Oless(X62,X61,c_Groups_Otimes__class_Otimes(X62,X59,X60))
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X59)
| c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| ~ c_Orderings_Oord__class_Oless(X62,X61,c_Groups_Otimes__class_Otimes(X62,X59,X60))
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Ozero__class_Ozero(X62))
| ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Otimes__class_Otimes(X62,X59,X60),X61)
| ~ c_Orderings_Oord__class_Oless(X62,X61,c_Groups_Otimes__class_Otimes(X62,X59,X60))
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X59)
| ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Otimes__class_Otimes(X62,X59,X60),X61)
| ~ c_Orderings_Oord__class_Oless(X62,X61,c_Groups_Otimes__class_Otimes(X62,X59,X60))
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X61,X60),X59)
| ~ class_Fields_Olinordered__field__inverse__zero(X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_divide__less__eq])])])]) ).
cnf(c_0_92,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(rw,[status(thm)],[c_0_83,c_0_59]) ).
cnf(c_0_93,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_94,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_53,c_0_85]) ).
cnf(c_0_95,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]),c_0_89]),c_0_90]) ).
cnf(c_0_96,plain,
( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),X4)
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Otimes__class_Otimes(X1,X4,X3))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_97,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
fof(c_0_98,plain,
! [X59,X60,X61,X62] :
( ( ~ c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X60,X61),X59)
| c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Otimes__class_Otimes(X62,X59,X61))
| ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X61)
| ~ class_Fields_Olinordered__field(X62) )
& ( ~ c_Orderings_Oord__class_Oless(X62,X60,c_Groups_Otimes__class_Otimes(X62,X59,X61))
| c_Orderings_Oord__class_Oless(X62,c_Rings_Oinverse__class_Odivide(X62,X60,X61),X59)
| ~ c_Orderings_Oord__class_Oless(X62,c_Groups_Ozero__class_Ozero(X62),X61)
| ~ class_Fields_Olinordered__field(X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__divide__less__eq])])]) ).
cnf(c_0_99,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(rw,[status(thm)],[c_0_92,c_0_76]) ).
cnf(c_0_100,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_80]),c_0_94]) ).
cnf(c_0_101,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))),
inference(split_conjunct,[status(thm)],[fact_e]) ).
cnf(c_0_102,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_79])]),c_0_89]) ).
cnf(c_0_103,plain,
( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Otimes__class_Otimes(X1,X4,X2))
| ~ class_Fields_Olinordered__field(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_48]),c_0_52]) ).
cnf(c_0_106,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
inference(rw,[status(thm)],[c_0_102,c_0_100]) ).
cnf(c_0_107,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_78]),c_0_105])]),c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW227+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 11:11:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/5.55 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.37/5.55 # Preprocessing time : 0.144 s
% 0.37/5.55
% 0.37/5.55 # Proof found!
% 0.37/5.55 # SZS status Theorem
% 0.37/5.55 # SZS output start CNFRefutation
% See solution above
% 0.37/5.55 # Proof object total steps : 108
% 0.37/5.55 # Proof object clause steps : 58
% 0.37/5.55 # Proof object formula steps : 50
% 0.37/5.55 # Proof object conjectures : 13
% 0.37/5.55 # Proof object clause conjectures : 10
% 0.37/5.55 # Proof object formula conjectures : 3
% 0.37/5.55 # Proof object initial clauses used : 28
% 0.37/5.55 # Proof object initial formulas used : 28
% 0.37/5.55 # Proof object generating inferences : 10
% 0.37/5.55 # Proof object simplifying inferences : 60
% 0.37/5.55 # Training examples: 0 positive, 0 negative
% 0.37/5.55 # Parsed axioms : 1171
% 0.37/5.55 # Removed by relevancy pruning/SinE : 0
% 0.37/5.55 # Initial clauses : 1749
% 0.37/5.55 # Removed in clause preprocessing : 79
% 0.37/5.55 # Initial clauses in saturation : 1670
% 0.37/5.55 # Processed clauses : 21734
% 0.37/5.55 # ...of these trivial : 374
% 0.37/5.55 # ...subsumed : 16274
% 0.37/5.55 # ...remaining for further processing : 5086
% 0.37/5.55 # Other redundant clauses eliminated : 758
% 0.37/5.55 # Clauses deleted for lack of memory : 76514
% 0.37/5.55 # Backward-subsumed : 164
% 0.37/5.55 # Backward-rewritten : 615
% 0.37/5.55 # Generated clauses : 220218
% 0.37/5.55 # ...of the previous two non-trivial : 200590
% 0.37/5.55 # Contextual simplify-reflections : 3682
% 0.37/5.55 # Paramodulations : 219257
% 0.37/5.55 # Factorizations : 23
% 0.37/5.55 # Equation resolutions : 935
% 0.37/5.55 # Current number of processed clauses : 4283
% 0.37/5.55 # Positive orientable unit clauses : 534
% 0.37/5.55 # Positive unorientable unit clauses: 28
% 0.37/5.55 # Negative unit clauses : 378
% 0.37/5.55 # Non-unit-clauses : 3343
% 0.37/5.55 # Current number of unprocessed clauses: 91346
% 0.37/5.55 # ...number of literals in the above : 269284
% 0.37/5.55 # Current number of archived formulas : 0
% 0.37/5.55 # Current number of archived clauses : 785
% 0.37/5.55 # Clause-clause subsumption calls (NU) : 3335643
% 0.37/5.55 # Rec. Clause-clause subsumption calls : 1540900
% 0.37/5.55 # Non-unit clause-clause subsumptions : 9976
% 0.37/5.55 # Unit Clause-clause subsumption calls : 35798
% 0.37/5.55 # Rewrite failures with RHS unbound : 0
% 0.37/5.55 # BW rewrite match attempts : 8784
% 0.37/5.55 # BW rewrite match successes : 487
% 0.37/5.55 # Condensation attempts : 0
% 0.37/5.55 # Condensation successes : 0
% 0.37/5.55 # Termbank termtop insertions : 4611962
% 0.37/5.55
% 0.37/5.55 # -------------------------------------------------
% 0.37/5.55 # User time : 4.368 s
% 0.37/5.55 # System time : 0.099 s
% 0.37/5.55 # Total time : 4.467 s
% 0.37/5.55 # Maximum resident set size: 136000 pages
% 0.37/23.51 eprover: CPU time limit exceeded, terminating
% 0.37/23.52 eprover: CPU time limit exceeded, terminating
% 0.37/23.52 eprover: CPU time limit exceeded, terminating
% 0.37/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.53 eprover: No such file or directory
% 0.37/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.53 eprover: No such file or directory
% 0.37/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.54 eprover: No such file or directory
% 0.37/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.54 eprover: No such file or directory
% 0.37/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.54 eprover: No such file or directory
% 0.37/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.54 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.59 eprover: No such file or directory
%------------------------------------------------------------------------------