TSTP Solution File: ALG340-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG340-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:32:34 EDT 2023
% Result : Unsatisfiable 20.81s 7.36s
% Output : CNFRefutation 20.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 78
% Syntax : Number of formulae : 98 ( 11 unt; 70 typ; 0 def)
% Number of atoms : 54 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 67 >; 17 *; 0 +; 0 <<)
% Number of predicates : 56 ( 54 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 35 (; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_HOL_Oord__class_Oless > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osgn__if > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring__1__no__zero__divisors > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Opordered__ring > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__semiring__strict > class_Ring__and__Field_Oordered__semiring > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oordered__field > class_Ring__and__Field_Oordered__comm__semiring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Omult__mono1 > class_Ring__and__Field_Omult__mono > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Odivision__by__zero > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring__0 > class_Ring__and__Field_Ocomm__semiring > class_Ring__and__Field_Ocomm__ring__1 > class_RealVector_Oreal__normed__vector > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Opordered__ab__semigroup__add > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ocomm__monoid__mult > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__comm__monoid__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__mult > class_OrderedGroup_Oab__semigroup__idem__mult > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Int_Onumber__ring > c_Power_Opower__class_Opower > c_Polynomial_Opoly > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Oinverse__class_Odivide > c_RealVector_Onorm__class_Onorm > c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1 > c_HOL_Osgn__class_Osgn > #nlpp > v_x > tc_Polynomial_Opoly > c_Transcendental_Oln > c_RealDef_Oreal__of__preal > c_HOL_Ozero__class_Ozero > v_r > tc_RealDef_Oreal > tc_Complex_Ocomplex
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(class_OrderedGroup_Ocancel__comm__monoid__add,type,
class_OrderedGroup_Ocancel__comm__monoid__add: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring__0,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(c_Transcendental_Oln,type,
c_Transcendental_Oln: $i > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Ring__and__Field_Oordered__semiring,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(class_Ring__and__Field_Osemiring,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(class_Ring__and__Field_Oring__1__no__zero__divisors,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(class_RealVector_Oreal__normed__field,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(tc_Polynomial_Opoly,type,
tc_Polynomial_Opoly: $i > $i ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(c_RealDef_Oreal__of__preal,type,
c_RealDef_Oreal__of__preal: $i > $i ).
tff(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1,type,
c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Omult__zero,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(c_HOL_Oinverse__class_Odivide,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Odivision__by__zero,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Oordered__field,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(class_Ring__and__Field_Opordered__ring,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(class_Ring__and__Field_Ozero__neq__one,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(class_Ring__and__Field_Ocomm__ring__1,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(class_Ring__and__Field_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(class_RealVector_Oreal__normed__algebra,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(class_RealVector_Oreal__normed__div__algebra,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(class_OrderedGroup_Opordered__cancel__ab__semigroup__add,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__mult,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(class_Power_Opower,type,
class_Power_Opower: $i > $o ).
tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(class_RealVector_Oreal__normed__vector,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(class_Ring__and__Field_Oordered__semiring__strict,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(v_r,type,
v_r: $i ).
tff(class_Ring__and__Field_Opordered__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(c_Power_Opower__class_Opower,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(tc_Complex_Ocomplex,type,
tc_Complex_Ocomplex: $i ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(c_Polynomial_Opoly,type,
c_Polynomial_Opoly: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Omonoid__mult,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(c_HOL_Osgn__class_Osgn,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Osgn__if,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(class_Ring__and__Field_Omult__mono,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(v_x,type,
v_x: $i > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(f_4179,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_3633,axiom,
! [T_a,V_y,V_x] :
( ~ class_Orderings_Olinorder(T_a)
| c_lessequals(V_y,V_x,T_a)
| c_lessequals(V_x,V_y,T_a) ),
file(unknown,unknown) ).
tff(f_4207,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_3804,axiom,
! [T_a,V_a] :
( ~ class_Ring__and__Field_Oidom(T_a)
| ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ),
file(unknown,unknown) ).
tff(f_4119,axiom,
! [V_xa] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_xa,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_2361,axiom,
! [V_xa] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_xa),tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_4178,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_3706,axiom,
! [T_a,V_x,V_z,V_y] :
( ~ class_Orderings_Opreorder(T_a)
| c_HOL_Oord__class_Oless(V_x,V_z,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ),
file(unknown,unknown) ).
tff(c_962,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_4179]) ).
tff(c_738,plain,
! [V_x_1221,V_y_1220,T_a_1219] :
( c_lessequals(V_x_1221,V_y_1220,T_a_1219)
| c_lessequals(V_y_1220,V_x_1221,T_a_1219)
| ~ class_Orderings_Olinorder(T_a_1219) ),
inference(cnfTransformation,[status(thm)],[f_3633]) ).
tff(c_3088,plain,
! [T_a_1219,V_x_1221] :
( ~ class_Orderings_Olinorder(T_a_1219)
| c_lessequals(V_x_1221,V_x_1221,T_a_1219) ),
inference(factorization,[status(thm),theory(equality)],[c_738]) ).
tff(c_1018,plain,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_4207]) ).
tff(c_784,plain,
! [T_a_1281,V_a_1282] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a_1281)),V_a_1282,T_a_1281) = c_HOL_Ozero__class_Ozero(T_a_1281) )
| ~ class_Ring__and__Field_Oidom(T_a_1281) ),
inference(cnfTransformation,[status(thm)],[f_3804]) ).
tff(c_35902,plain,
! [V_xa_2120] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2120,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(V_xa_2120),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_xa_2120,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_4119]) ).
tff(c_35973,plain,
! [V_xa_2120] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2120,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_xa_2120,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_784,c_35902]) ).
tff(c_36033,plain,
! [V_xa_2121] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2121,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_xa_2121,tc_RealDef_Oreal) ),
inference(demodulation,[status(thm),theory(equality)],[c_1018,c_35973]) ).
tff(c_36109,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_3088,c_36033]) ).
tff(c_36196,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(demodulation,[status(thm),theory(equality)],[c_962,c_36109]) ).
tff(c_428,plain,
! [V_xa_700] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_xa_700),tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_2361]) ).
tff(c_960,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_4178]) ).
tff(c_7854,plain,
! [V_x_1715,V_y_1716,T_a_1717,V_z_1718] :
( ~ c_HOL_Oord__class_Oless(V_x_1715,V_y_1716,T_a_1717)
| ~ c_lessequals(V_y_1716,V_z_1718,T_a_1717)
| c_HOL_Oord__class_Oless(V_x_1715,V_z_1718,T_a_1717)
| ~ class_Orderings_Opreorder(T_a_1717) ),
inference(cnfTransformation,[status(thm)],[f_3706]) ).
tff(c_7884,plain,
! [V_xa_700,V_z_1718] :
( ~ c_lessequals(c_RealDef_Oreal__of__preal(V_xa_700),V_z_1718,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_1718,tc_RealDef_Oreal)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_428,c_7854]) ).
tff(c_7922,plain,
! [V_xa_1719,V_z_1720] :
( ~ c_lessequals(c_RealDef_Oreal__of__preal(V_xa_1719),V_z_1720,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_1720,tc_RealDef_Oreal) ),
inference(demodulation,[status(thm),theory(equality)],[c_960,c_7884]) ).
tff(c_7946,plain,
! [V_y_1220,V_xa_1719] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_1220,tc_RealDef_Oreal)
| c_lessequals(V_y_1220,c_RealDef_Oreal__of__preal(V_xa_1719),tc_RealDef_Oreal)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_738,c_7922]) ).
tff(c_7994,plain,
! [V_y_1220,V_xa_1719] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_1220,tc_RealDef_Oreal)
| c_lessequals(V_y_1220,c_RealDef_Oreal__of__preal(V_xa_1719),tc_RealDef_Oreal) ),
inference(demodulation,[status(thm),theory(equality)],[c_962,c_7946]) ).
tff(c_36093,plain,
! [V_xa_1719] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_xa_1719),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_7994,c_36033]) ).
tff(c_36184,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(demodulation,[status(thm),theory(equality)],[c_428,c_36093]) ).
tff(c_36245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36196,c_36184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG340-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 20:40:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 20.81/7.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.81/7.37
% 20.81/7.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.81/7.39
% 20.81/7.39 Inference rules
% 20.81/7.39 ----------------------
% 20.81/7.39 #Ref : 21
% 20.81/7.39 #Sup : 7717
% 20.81/7.39 #Fact : 18
% 20.81/7.39 #Define : 0
% 20.81/7.39 #Split : 1
% 20.81/7.39 #Chain : 0
% 20.81/7.39 #Close : 0
% 20.81/7.39
% 20.81/7.39 Ordering : KBO
% 20.81/7.39
% 20.81/7.39 Simplification rules
% 20.81/7.39 ----------------------
% 20.81/7.40 #Subsume : 1311
% 20.81/7.40 #Demod : 4532
% 20.81/7.40 #Tautology : 2283
% 20.81/7.40 #SimpNegUnit : 55
% 20.81/7.40 #BackRed : 0
% 20.81/7.40
% 20.81/7.40 #Partial instantiations: 0
% 20.81/7.40 #Strategies tried : 1
% 20.81/7.40
% 20.81/7.40 Timing (in seconds)
% 20.81/7.40 ----------------------
% 20.81/7.40 Preprocessing : 1.53
% 20.81/7.40 Parsing : 0.82
% 20.81/7.40 CNF conversion : 0.13
% 20.81/7.40 Main loop : 4.80
% 20.81/7.40 Inferencing : 1.05
% 20.81/7.40 Reduction : 2.00
% 20.81/7.40 Demodulation : 1.54
% 20.81/7.40 BG Simplification : 0.25
% 20.81/7.40 Subsumption : 1.30
% 20.81/7.40 Abstraction : 0.14
% 20.81/7.40 MUC search : 0.00
% 20.81/7.40 Cooper : 0.00
% 20.81/7.40 Total : 6.39
% 20.81/7.40 Index Insertion : 0.00
% 20.81/7.40 Index Deletion : 0.00
% 20.81/7.40 Index Matching : 0.00
% 20.81/7.40 BG Taut test : 0.00
%------------------------------------------------------------------------------