TSTP Solution File: SWW230+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW230+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n011.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 : Mon Jun 24 18:13:54 EDT 2024
% Result : Theorem 18.94s 3.02s
% Output : CNFRefutation 18.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 35
% Syntax : Number of formulae : 131 ( 91 unt; 0 def)
% Number of atoms : 218 ( 127 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 154 ( 67 ~; 57 |; 7 &)
% ( 6 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 11 con; 0-3 aty)
% Number of variables : 160 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_number__of__is__id,axiom,
! [X21] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X21) = X21,
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_number__of__is__id) ).
fof(fact_nonzero__divide__eq__eq,axiom,
! [X10,X8,X48,X16] :
( class_Rings_Odivision__ring(X16)
=> ( X48 != c_Groups_Ozero__class_Ozero(X16)
=> ( c_Rings_Oinverse__class_Odivide(X16,X8,X48) = X10
<=> X8 = c_Groups_Otimes__class_Otimes(X16,X10,X48) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_nonzero__divide__eq__eq) ).
fof(fact_abs__of__nonneg,axiom,
! [X4,X16] :
( class_Groups_Oordered__ab__group__add__abs(X16)
=> ( c_Orderings_Oord__class_Oless__eq(X16,c_Groups_Ozero__class_Ozero(X16),X4)
=> c_Groups_Oabs__class_Oabs(X16,X4) = X4 ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_abs__of__nonneg) ).
fof(fact_one__is__num__one,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_one__is__num__one) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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))))),c_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',conj_0) ).
fof(fact_real__mult__1,axiom,
! [X15] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X15) = X15,
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__mult__1) ).
fof(fact_real__mult__commute,axiom,
! [X23,X15] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X15,X23) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X23,X15),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__mult__commute) ).
fof(fact_real__zero__not__eq__one,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__zero__not__eq__one) ).
fof(fact_real__mult__inverse__left,axiom,
! [X11] :
( X11 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
=> c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X11),X11) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__mult__inverse__left) ).
fof(fact_Pls__def,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_Pls__def) ).
fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',arity_Int__Oint__Groups_Oordered__ab__group__add__abs) ).
fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J) ).
fof(fact_mult__Bit0,axiom,
! [X22,X21] : c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_OBit0(X21),X22) = c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint,X21,X22)),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_mult__Bit0) ).
fof(fact_zmult__1,axiom,
! [X15] : c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X15) = X15,
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_zmult__1) ).
fof(fact_real__norm__def,axiom,
! [X52] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X52) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X52),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__norm__def) ).
fof(fact_abs__minus__add__cancel,axiom,
! [X37,X11] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X11,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X37))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X37,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X11))),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_abs__minus__add__cancel) ).
fof(fact_real__diff__def,axiom,
! [X54,X52] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X52,X54) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X52,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X54)),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__diff__def) ).
fof(fact_add__num__frac,axiom,
! [X11,X15,X37,X16] :
( class_Fields_Ofield__inverse__zero(X16)
=> ( X37 != c_Groups_Ozero__class_Ozero(X16)
=> c_Groups_Oplus__class_Oplus(X16,X15,c_Rings_Oinverse__class_Odivide(X16,X11,X37)) = c_Rings_Oinverse__class_Odivide(X16,c_Groups_Oplus__class_Oplus(X16,X11,c_Groups_Otimes__class_Otimes(X16,X15,X37)),X37) ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_add__num__frac) ).
fof(fact_divide__real__def,axiom,
! [X37,X11] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X11,X37) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X11,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X37)),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_divide__real__def) ).
fof(fact_abs__mult,axiom,
! [X3,X4,X16] :
( class_Rings_Olinordered__idom(X16)
=> c_Groups_Oabs__class_Oabs(X16,c_Groups_Otimes__class_Otimes(X16,X4,X3)) = c_Groups_Otimes__class_Otimes(X16,c_Groups_Oabs__class_Oabs(X16,X4),c_Groups_Oabs__class_Oabs(X16,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_abs__mult) ).
fof(fact_zless__add1__eq,axiom,
! [X12,X24] :
( c_Orderings_Oord__class_Oless(tc_Int_Oint,X24,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X12,c_Groups_Oone__class_Oone(tc_Int_Oint)))
<=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X24,X12)
| X24 = X12 ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_zless__add1__eq) ).
fof(fact_int__0__neq__1,axiom,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_int__0__neq__1) ).
fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
class_Rings_Odivision__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',arity_RealDef__Oreal__Rings_Odivision__ring) ).
fof(fact_real__mult__assoc,axiom,
! [X43,X41,X42] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X42,X41),X43) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X42,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X41,X43)),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__mult__assoc) ).
fof(fact_rel__simps_I44_J,axiom,
! [X28] :
( c_Int_OBit0(X28) = c_Int_OPls
<=> X28 = c_Int_OPls ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_rel__simps_I44_J) ).
fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
class_Rings_Olinordered__idom(tc_Int_Oint),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',arity_Int__Oint__Rings_Olinordered__idom) ).
fof(fact_abs__of__pos,axiom,
! [X4,X16] :
( class_Groups_Oordered__ab__group__add__abs(X16)
=> ( c_Orderings_Oord__class_Oless(X16,c_Groups_Ozero__class_Ozero(X16),X4)
=> c_Groups_Oabs__class_Oabs(X16,X4) = X4 ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_abs__of__pos) ).
fof(fact_add__Pls,axiom,
! [X21] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X21) = X21,
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_add__Pls) ).
fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).
fof(fact__096abs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_060_061_Aabs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_L_Acmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_A_N_Apoly_Ap_Az_J_096,axiom,
c_Orderings_Oord__class_Oless__eq(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_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact__096abs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_060_061_Aabs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_L_Acmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_A_N_Apoly_Ap_Az_J_096) ).
fof(fact_abs__le__zero__iff,axiom,
! [X10,X16] :
( class_Groups_Oordered__ab__group__add__abs(X16)
=> ( c_Orderings_Oord__class_Oless__eq(X16,c_Groups_Oabs__class_Oabs(X16,X10),c_Groups_Ozero__class_Ozero(X16))
<=> X10 = c_Groups_Ozero__class_Ozero(X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_abs__le__zero__iff) ).
fof(fact_le__special_I3_J,axiom,
! [X14,X16] :
( ( class_Int_Onumber__ring(X16)
& class_Rings_Olinordered__idom(X16) )
=> ( c_Orderings_Oord__class_Oless__eq(X16,c_Int_Onumber__class_Onumber__of(X16,X14),c_Groups_Ozero__class_Ozero(X16))
<=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14,c_Int_OPls) ) ),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_le__special_I3_J) ).
fof(fact_real__le__refl,axiom,
! [X23] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X23,X23),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',fact_real__le__refl) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(c_0_35,plain,
! [X1438] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1438) = X1438,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_36,plain,
! [X10,X8,X48,X16] :
( class_Rings_Odivision__ring(X16)
=> ( X48 != c_Groups_Ozero__class_Ozero(X16)
=> ( c_Rings_Oinverse__class_Odivide(X16,X8,X48) = X10
<=> X8 = c_Groups_Otimes__class_Otimes(X16,X10,X48) ) ) ),
inference(fof_simplification,[status(thm)],[fact_nonzero__divide__eq__eq]) ).
fof(c_0_37,plain,
! [X1071,X1072] :
( ~ class_Groups_Oordered__ab__group__add__abs(X1072)
| ~ c_Orderings_Oord__class_Oless__eq(X1072,c_Groups_Ozero__class_Ozero(X1072),X1071)
| c_Groups_Oabs__class_Oabs(X1072,X1071) = X1071 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__nonneg])])]) ).
cnf(c_0_38,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).
cnf(c_0_39,plain,
c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_40,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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))))),c_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_41,plain,
! [X1224,X1225,X1226,X1227] :
( ( c_Rings_Oinverse__class_Odivide(X1227,X1225,X1226) != X1224
| X1225 = c_Groups_Otimes__class_Otimes(X1227,X1224,X1226)
| X1226 = c_Groups_Ozero__class_Ozero(X1227)
| ~ class_Rings_Odivision__ring(X1227) )
& ( X1225 != c_Groups_Otimes__class_Otimes(X1227,X1224,X1226)
| c_Rings_Oinverse__class_Odivide(X1227,X1225,X1226) = X1224
| X1226 = c_Groups_Ozero__class_Ozero(X1227)
| ~ class_Rings_Odivision__ring(X1227) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_42,plain,
! [X1166] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1166) = X1166,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
fof(c_0_43,plain,
! [X1160,X1161] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1161,X1160) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1160,X1161),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_44,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[fact_real__zero__not__eq__one]) ).
fof(c_0_45,plain,
! [X11] :
( X11 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
=> c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X11),X11) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[fact_real__mult__inverse__left]) ).
cnf(c_0_46,plain,
( c_Groups_Oabs__class_Oabs(X1,X2) = X2
| ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
cnf(c_0_48,plain,
class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__group__add__abs]) ).
cnf(c_0_49,plain,
c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),
inference(split_conjunct,[status(thm)],[fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J]) ).
cnf(c_0_50,plain,
c_Int_OBit1(c_Int_OPls) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_51,plain,
! [X1183,X1184] : c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_OBit0(X1184),X1183) = c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1184,X1183)),
inference(variable_rename,[status(thm)],[fact_mult__Bit0]) ).
fof(c_0_52,plain,
! [X1195] : c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1195) = X1195,
inference(variable_rename,[status(thm)],[fact_zmult__1]) ).
fof(c_0_53,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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))))),c_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(fof_nnf,[status(thm)],[c_0_40]) ).
fof(c_0_54,plain,
! [X737] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X737) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X737),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_55,plain,
! [X532,X533] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X533,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X532))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X532,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X533))),
inference(variable_rename,[status(thm)],[fact_abs__minus__add__cancel]) ).
fof(c_0_56,plain,
! [X528,X529] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X529,X528) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X529,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X528)),
inference(variable_rename,[status(thm)],[fact_real__diff__def]) ).
fof(c_0_57,plain,
! [X11,X15,X37,X16] :
( class_Fields_Ofield__inverse__zero(X16)
=> ( X37 != c_Groups_Ozero__class_Ozero(X16)
=> c_Groups_Oplus__class_Oplus(X16,X15,c_Rings_Oinverse__class_Odivide(X16,X11,X37)) = c_Rings_Oinverse__class_Odivide(X16,c_Groups_Oplus__class_Oplus(X16,X11,c_Groups_Otimes__class_Otimes(X16,X15,X37)),X37) ) ),
inference(fof_simplification,[status(thm)],[fact_add__num__frac]) ).
cnf(c_0_58,plain,
( X2 = 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_41]) ).
cnf(c_0_59,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_42]) ).
cnf(c_0_60,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_43]) ).
fof(c_0_61,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(fof_nnf,[status(thm)],[c_0_44]) ).
fof(c_0_62,plain,
! [X1165] :
( X1165 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1165),X1165) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_63,plain,
! [X1167,X1168] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1168,X1167) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1168,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1167)),
inference(variable_rename,[status(thm)],[fact_divide__real__def]) ).
fof(c_0_64,plain,
! [X1020,X1021,X1022] :
( ~ class_Rings_Olinordered__idom(X1022)
| c_Groups_Oabs__class_Oabs(X1022,c_Groups_Otimes__class_Otimes(X1022,X1021,X1020)) = c_Groups_Otimes__class_Otimes(X1022,c_Groups_Oabs__class_Oabs(X1022,X1021),c_Groups_Oabs__class_Oabs(X1022,X1020)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult])])]) ).
cnf(c_0_65,plain,
( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_66,plain,
c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_47]),c_0_50]),c_0_39]) ).
cnf(c_0_67,plain,
c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_OBit0(X1),X2) = c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint,X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_68,plain,
c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_69,plain,
! [X543,X544] :
( ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X544,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X543,c_Groups_Oone__class_Oone(tc_Int_Oint)))
| c_Orderings_Oord__class_Oless(tc_Int_Oint,X544,X543)
| X544 = X543 )
& ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X544,X543)
| c_Orderings_Oord__class_Oless(tc_Int_Oint,X544,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X543,c_Groups_Oone__class_Oone(tc_Int_Oint))) )
& ( X544 != X543
| c_Orderings_Oord__class_Oless(tc_Int_Oint,X544,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X543,c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__add1__eq])])])]) ).
fof(c_0_70,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(fof_simplification,[status(thm)],[fact_int__0__neq__1]) ).
cnf(c_0_71,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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))))),c_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_72,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_54]) ).
cnf(c_0_73,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_55]) ).
cnf(c_0_74,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_56]) ).
fof(c_0_75,plain,
! [X1747,X1748,X1749,X1750] :
( ~ class_Fields_Ofield__inverse__zero(X1750)
| X1749 = c_Groups_Ozero__class_Ozero(X1750)
| c_Groups_Oplus__class_Oplus(X1750,X1748,c_Rings_Oinverse__class_Odivide(X1750,X1747,X1749)) = c_Rings_Oinverse__class_Odivide(X1750,c_Groups_Oplus__class_Oplus(X1750,X1747,c_Groups_Otimes__class_Otimes(X1750,X1748,X1749)),X1749) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
cnf(c_0_76,plain,
( 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_58]) ).
cnf(c_0_77,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_78,plain,
class_Rings_Odivision__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring]) ).
cnf(c_0_79,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_80,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_81,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_63]) ).
fof(c_0_82,plain,
! [X1162,X1163,X1164] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1164,X1163),X1162) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1164,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1163,X1162)),
inference(variable_rename,[status(thm)],[fact_real__mult__assoc]) ).
fof(c_0_83,plain,
! [X1458] :
( ( c_Int_OBit0(X1458) != c_Int_OPls
| X1458 = c_Int_OPls )
& ( X1458 != c_Int_OPls
| c_Int_OBit0(X1458) = c_Int_OPls ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I44_J])])]) ).
cnf(c_0_84,plain,
( c_Groups_Oabs__class_Oabs(X1,c_Groups_Otimes__class_Otimes(X1,X2,X3)) = c_Groups_Otimes__class_Otimes(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_85,plain,
c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_86,plain,
c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)),X1) = c_Int_OBit0(X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_87,plain,
class_Rings_Olinordered__idom(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__idom]) ).
fof(c_0_88,plain,
! [X1081,X1082] :
( ~ class_Groups_Oordered__ab__group__add__abs(X1082)
| ~ c_Orderings_Oord__class_Oless(X1082,c_Groups_Ozero__class_Ozero(X1082),X1081)
| c_Groups_Oabs__class_Oabs(X1082,X1081) = X1081 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__pos])])]) ).
cnf(c_0_89,plain,
( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_90,plain,
! [X476] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X476) = X476,
inference(variable_rename,[status(thm)],[fact_add__Pls]) ).
fof(c_0_91,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(fof_nnf,[status(thm)],[c_0_70]) ).
cnf(c_0_92,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),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_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_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_50]),c_0_72]),c_0_50]),c_0_72]) ).
cnf(c_0_93,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_73,c_0_74]),c_0_72]),c_0_74]),c_0_72]) ).
cnf(c_0_94,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| c_Groups_Oplus__class_Oplus(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2)) = c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X4,c_Groups_Otimes__class_Otimes(X1,X3,X2)),X2)
| ~ class_Fields_Ofield__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_95,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = X1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]),c_0_79]) ).
cnf(c_0_96,plain,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield__inverse__zero]) ).
cnf(c_0_97,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_60]),c_0_81]) ).
cnf(c_0_98,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2),X3) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_99,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),X2) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_81]) ).
cnf(c_0_100,plain,
c_Orderings_Oord__class_Oless__eq(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_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(split_conjunct,[status(thm)],[fact__096abs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_060_061_Aabs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_L_Acmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_A_N_Apoly_Ap_Az_J_096]) ).
fof(c_0_101,plain,
! [X1073,X1074] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X1074,c_Groups_Oabs__class_Oabs(X1074,X1073),c_Groups_Ozero__class_Ozero(X1074))
| X1073 = c_Groups_Ozero__class_Ozero(X1074)
| ~ class_Groups_Oordered__ab__group__add__abs(X1074) )
& ( X1073 != c_Groups_Ozero__class_Ozero(X1074)
| c_Orderings_Oord__class_Oless__eq(X1074,c_Groups_Oabs__class_Oabs(X1074,X1073),c_Groups_Ozero__class_Ozero(X1074))
| ~ class_Groups_Oordered__ab__group__add__abs(X1074) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__zero__iff])])])]) ).
cnf(c_0_102,plain,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_103,plain,
c_Int_OBit0(c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)) = c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Int_OBit0(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_86]),c_0_87])]) ).
cnf(c_0_104,plain,
( c_Groups_Oabs__class_Oabs(X1,X2) = X2
| ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_105,plain,
c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_106,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_107,plain,
c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_108,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),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_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Oplus__class_Oplus(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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_93]) ).
cnf(c_0_109,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_77]),c_0_95]),c_0_96])]),c_0_79]) ).
cnf(c_0_110,plain,
( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X1),X2) = X2
| X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_59,c_0_97]) ).
cnf(c_0_111,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2),X3) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_81]),c_0_99]) ).
cnf(c_0_112,plain,
c_Orderings_Oord__class_Oless__eq(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_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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_72]),c_0_93]),c_0_72]),c_0_93]) ).
cnf(c_0_113,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_114,plain,
( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1) = c_Int_OPls
| c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Int_OBit0(X1)) != c_Int_OPls ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_115,plain,
c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_47]),c_0_106]),c_0_47]),c_0_106]),c_0_48])]) ).
cnf(c_0_116,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Int_OPls,
inference(rw,[status(thm)],[c_0_107,c_0_47]) ).
fof(c_0_117,plain,
! [X1491,X1492] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X1492,c_Int_Onumber__class_Onumber__of(X1492,X1491),c_Groups_Ozero__class_Ozero(X1492))
| c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1491,c_Int_OPls)
| ~ class_Int_Onumber__ring(X1492)
| ~ class_Rings_Olinordered__idom(X1492) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1491,c_Int_OPls)
| c_Orderings_Oord__class_Oless__eq(X1492,c_Int_Onumber__class_Onumber__of(X1492,X1491),c_Groups_Ozero__class_Ozero(X1492))
| ~ class_Int_Onumber__ring(X1492)
| ~ class_Rings_Olinordered__idom(X1492) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__special_I3_J])])])]) ).
cnf(c_0_118,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),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_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))),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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))))),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_119,plain,
( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1)) = X2
| X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_120,plain,
c_Orderings_Oord__class_Oless__eq(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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))),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_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))))),
inference(rw,[status(thm)],[c_0_112,c_0_109]) ).
fof(c_0_121,plain,
! [X162] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X162,X162),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
cnf(c_0_122,plain,
( X1 = c_Int_OPls
| ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Int_OPls) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_47]),c_0_48])]) ).
cnf(c_0_123,plain,
c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)) != c_Int_OPls,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_85]),c_0_115]),c_0_116]) ).
cnf(c_0_124,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,c_Int_OPls)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Int_Onumber__class_Onumber__of(X1,X2),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Int_Onumber__ring(X1)
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_125,negated_conjecture,
c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).
cnf(c_0_126,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]) ).
cnf(c_0_127,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
cnf(c_0_128,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_129,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OPls),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_85]),c_0_123]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_127]),c_0_128])]),c_0_129]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW230+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d SAT
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:41:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.60 Running first-order model finding
% 0.19/0.60 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/tmp/tmp.3ihEzWOqb8/E---3.1_16253.p
% 18.94/3.02 # Version: 3.2.0
% 18.94/3.02 # Preprocessing class: FMLSSMSMSSSNFFN.
% 18.94/3.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.94/3.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 18.94/3.02 # Starting new_bool_3 with 600s (2) cores
% 18.94/3.02 # Starting new_bool_1 with 600s (2) cores
% 18.94/3.02 # Starting sh5l with 300s (1) cores
% 18.94/3.02 # sh5l with pid 16333 completed with status 0
% 18.94/3.02 # Result found by sh5l
% 18.94/3.02 # Preprocessing class: FMLSSMSMSSSNFFN.
% 18.94/3.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.94/3.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 18.94/3.02 # Starting new_bool_3 with 600s (2) cores
% 18.94/3.02 # Starting new_bool_1 with 600s (2) cores
% 18.94/3.02 # Starting sh5l with 300s (1) cores
% 18.94/3.02 # SinE strategy is gf500_gu_R04_F100_L20000
% 18.94/3.02 # Search class: FGHSM-SSLM31-DFFFFFNN
% 18.94/3.02 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 18.94/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 163s (1) cores
% 18.94/3.02 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16338 completed with status 0
% 18.94/3.02 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 18.94/3.02 # Preprocessing class: FMLSSMSMSSSNFFN.
% 18.94/3.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.94/3.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 18.94/3.02 # Starting new_bool_3 with 600s (2) cores
% 18.94/3.02 # Starting new_bool_1 with 600s (2) cores
% 18.94/3.02 # Starting sh5l with 300s (1) cores
% 18.94/3.02 # SinE strategy is gf500_gu_R04_F100_L20000
% 18.94/3.02 # Search class: FGHSM-SSLM31-DFFFFFNN
% 18.94/3.02 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 18.94/3.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 163s (1) cores
% 18.94/3.02 # Preprocessing time : 0.019 s
% 18.94/3.02 # Presaturation interreduction done
% 18.94/3.02
% 18.94/3.02 # Proof found!
% 18.94/3.02 # SZS status Theorem
% 18.94/3.02 # SZS output start CNFRefutation
% See solution above
% 18.94/3.02 # Parsed axioms : 1171
% 18.94/3.02 # Removed by relevancy pruning/SinE : 329
% 18.94/3.02 # Initial clauses : 1315
% 18.94/3.02 # Removed in clause preprocessing : 60
% 18.94/3.02 # Initial clauses in saturation : 1255
% 18.94/3.02 # Processed clauses : 15616
% 18.94/3.02 # ...of these trivial : 1033
% 18.94/3.02 # ...subsumed : 9026
% 18.94/3.02 # ...remaining for further processing : 5557
% 18.94/3.02 # Other redundant clauses eliminated : 1070
% 18.94/3.02 # Clauses deleted for lack of memory : 0
% 18.94/3.02 # Backward-subsumed : 159
% 18.94/3.02 # Backward-rewritten : 186
% 18.94/3.02 # Generated clauses : 138960
% 18.94/3.02 # ...of the previous two non-redundant : 119931
% 18.94/3.02 # ...aggressively subsumed : 0
% 18.94/3.02 # Contextual simplify-reflections : 8
% 18.94/3.02 # Paramodulations : 137867
% 18.94/3.02 # Factorizations : 18
% 18.94/3.02 # NegExts : 0
% 18.94/3.02 # Equation resolutions : 1093
% 18.94/3.02 # Disequality decompositions : 0
% 18.94/3.02 # Total rewrite steps : 100841
% 18.94/3.02 # ...of those cached : 89978
% 18.94/3.02 # Propositional unsat checks : 1
% 18.94/3.02 # Propositional check models : 0
% 18.94/3.02 # Propositional check unsatisfiable : 0
% 18.94/3.02 # Propositional clauses : 0
% 18.94/3.02 # Propositional clauses after purity: 0
% 18.94/3.02 # Propositional unsat core size : 0
% 18.94/3.02 # Propositional preprocessing time : 0.000
% 18.94/3.02 # Propositional encoding time : 0.145
% 18.94/3.02 # Propositional solver time : 0.100
% 18.94/3.02 # Success case prop preproc time : 0.000
% 18.94/3.02 # Success case prop encoding time : 0.000
% 18.94/3.02 # Success case prop solver time : 0.000
% 18.94/3.02 # Current number of processed clauses : 4185
% 18.94/3.02 # Positive orientable unit clauses : 1139
% 18.94/3.02 # Positive unorientable unit clauses: 21
% 18.94/3.02 # Negative unit clauses : 770
% 18.94/3.02 # Non-unit-clauses : 2255
% 18.94/3.02 # Current number of unprocessed clauses: 106059
% 18.94/3.02 # ...number of literals in the above : 224383
% 18.94/3.02 # Current number of archived formulas : 0
% 18.94/3.02 # Current number of archived clauses : 1263
% 18.94/3.02 # Clause-clause subsumption calls (NU) : 331504
% 18.94/3.02 # Rec. Clause-clause subsumption calls : 232789
% 18.94/3.02 # Non-unit clause-clause subsumptions : 2196
% 18.94/3.02 # Unit Clause-clause subsumption calls : 97447
% 18.94/3.02 # Rewrite failures with RHS unbound : 0
% 18.94/3.02 # BW rewrite match attempts : 44930
% 18.94/3.02 # BW rewrite match successes : 526
% 18.94/3.02 # Condensation attempts : 0
% 18.94/3.02 # Condensation successes : 0
% 18.94/3.02 # Termbank termtop insertions : 3380247
% 18.94/3.02 # Search garbage collected termcells : 16961
% 18.94/3.02
% 18.94/3.02 # -------------------------------------------------
% 18.94/3.02 # User time : 2.229 s
% 18.94/3.02 # System time : 0.105 s
% 18.94/3.02 # Total time : 2.334 s
% 18.94/3.02 # Maximum resident set size: 6776 pages
% 18.94/3.02
% 18.94/3.02 # -------------------------------------------------
% 18.94/3.02 # User time : 2.250 s
% 18.94/3.02 # System time : 0.108 s
% 18.94/3.02 # Total time : 2.358 s
% 18.94/3.02 # Maximum resident set size: 3012 pages
% 18.94/3.02 % E---3.1 exiting
% 18.94/3.02 % E exiting
%------------------------------------------------------------------------------