TSTP Solution File: ALG380-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG380-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 10:32:38 EDT 2023
% Result : Unsatisfiable 26.86s 9.69s
% Output : CNFRefutation 26.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 108
% Syntax : Number of formulae : 125 ( 20 unt; 99 typ; 0 def)
% Number of atoms : 32 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 90 >; 25 *; 0 +; 0 <<)
% Number of predicates : 70 ( 68 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 9 con; 0-3 aty)
% Number of variables : 27 (; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_HOL_Oord__class_Oless > c_HOL_Oeq__class_Oeq > c_Int_Oiszero > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osgn__if > class_Ring__and__Field_Osemiring__1 > 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_Oring > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Opordered__ring__abs > 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_Olordered__ring > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Odivision__ring > class_Ring__and__Field_Odivision__by__zero > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > class_Ring__and__Field_Oabs__if > class_RealVector_Oreal__normed__vector > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__div__algebra > class_RealVector_Oreal__normed__algebra__1 > class_RealVector_Oreal__normed__algebra > class_RealVector_Oreal__field > class_RealVector_Oreal__algebra__1 > 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__abs > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add__abs > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__mult > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__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_Oring__char__0 > class_Int_Onumber__ring > class_Int_Onumber > class_HOL_Oeq > c_Power_Opower__class_Opower > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > hAPP > c_RealVector_Oof__real > c_RealVector_Onorm__class_Onorm > c_Int_Onumber__class_Onumber__of > c_HOL_Osgn__class_Osgn > c_HOL_Oinverse__class_Oinverse > c_HOL_Oabs__class_Oabs > c_Complex_Orcis > #nlpp > c_Transcendental_Otan > c_Transcendental_Osin > c_Transcendental_Ocos > c_NthRoot_Osqrt > c_Int_OBit1 > c_Int_OBit0 > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > c_Complex_Ocis > v_r > v_a > tc_nat > tc_RealDef_Oreal > tc_Int_Oint > tc_Complex_Ocomplex > c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1 > c_Transcendental_Opi > c_Int_OPls
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(c_Transcendental_Opi,type,
c_Transcendental_Opi: $i ).
tff(class_Ring__and__Field_Opordered__ring__abs,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(c_Transcendental_Osin,type,
c_Transcendental_Osin: $i > $i ).
tff(class_Int_Oring__char__0,type,
class_Int_Oring__char__0: $i > $o ).
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(c_HOL_Oinverse__class_Oinverse,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(c_Int_Onumber__class_Onumber__of,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
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_RealVector_Oreal__normed__algebra__1,type,
class_RealVector_Oreal__normed__algebra__1: $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_Ring__and__Field_Oring,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(class_RealVector_Oreal__normed__field,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__group__add__abs,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $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_Int_Onumber,type,
class_Int_Onumber: $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(c_Int_OPls,type,
c_Int_OPls: $i ).
tff(c_Int_OBit0,type,
c_Int_OBit0: $i > $i ).
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(c_Int_OBit1,type,
c_Int_OBit1: $i > $i ).
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_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(tc_nat,type,
tc_nat: $i ).
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(c_Complex_Orcis,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(c_NthRoot_Osqrt,type,
c_NthRoot_Osqrt: $i > $i ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(v_a,type,
v_a: $i ).
tff(class_Ring__and__Field_Oabs__if,type,
class_Ring__and__Field_Oabs__if: $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(c_Transcendental_Otan,type,
c_Transcendental_Otan: $i > $i ).
tff(class_Ring__and__Field_Oordered__semiring__strict,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(class_RealVector_Oreal__algebra__1,type,
class_RealVector_Oreal__algebra__1: $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_HOL_Oone__class_Oone,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(class_OrderedGroup_Omonoid__mult,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,type,
c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1: $i ).
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(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Olordered__ab__group__add__abs,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(class_Ring__and__Field_Olordered__ring,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(class_Ring__and__Field_Osgn__if,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(class_Ring__and__Field_Omult__mono,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(c_HOL_Oabs__class_Oabs,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(c_RealVector_Oof__real,type,
c_RealVector_Oof__real: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(class_Ring__and__Field_Odivision__ring,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(c_HOL_Oeq__class_Oeq,type,
c_HOL_Oeq__class_Oeq: ( $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(class_RealVector_Oreal__field,type,
class_RealVector_Oreal__field: $i > $o ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_Transcendental_Ocos,type,
c_Transcendental_Ocos: $i > $i ).
tff(class_HOL_Oeq,type,
class_HOL_Oeq: $i > $o ).
tff(c_Int_Oiszero,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(class_Ring__and__Field_Osemiring__1,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(c_Complex_Ocis,type,
c_Complex_Ocis: $i > $i ).
tff(f_8902,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_8186,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
| c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_8390,axiom,
! [V_x] : ( c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_5402,axiom,
! [V_y] :
( ( c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = V_y )
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_8317,axiom,
! [V_x] : ( c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_5535,axiom,
! [V_x,V_y] : ( c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_8625,axiom,
! [V_x] : ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x ),
file(unknown,unknown) ).
tff(f_5557,axiom,
! [V_r1,V_a,V_r2,V_b] : ( c_HOL_Otimes__class_Otimes(c_Complex_Orcis(V_r1,V_a),c_Complex_Orcis(V_r2,V_b),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(V_r1,V_r2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal)) ),
file(unknown,unknown) ).
tff(f_8809,axiom,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
file(unknown,unknown) ).
tff(c_2250,plain,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_8902]) ).
tff(c_1842,plain,
! [T_a_2557,V_a_2558] :
( c_lessequals(c_HOL_Ozero__class_Ozero(T_a_2557),c_HOL_Oabs__class_Oabs(V_a_2558,T_a_2557),T_a_2557)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a_2557) ),
inference(cnfTransformation,[status(thm)],[f_8186]) ).
tff(c_1930,plain,
! [V_x_2622] : ( c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x_2622,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x_2622,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_8390]) ).
tff(c_1180,plain,
! [V_y_1709] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_1709,tc_RealDef_Oreal)
| ( c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_y_1709,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = V_y_1709 ) ),
inference(cnfTransformation,[status(thm)],[f_5402]) ).
tff(c_4714,plain,
! [V_y_2917] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2917,tc_RealDef_Oreal)
| ( c_HOL_Oabs__class_Oabs(V_y_2917,tc_RealDef_Oreal) = V_y_2917 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1930,c_1180]) ).
tff(c_4718,plain,
! [V_a_2558] :
( ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a_2558,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(V_a_2558,tc_RealDef_Oreal) )
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_1842,c_4714]) ).
tff(c_4762,plain,
! [V_a_2558] : ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a_2558,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(V_a_2558,tc_RealDef_Oreal) ),
inference(demodulation,[status(thm),theory(equality)],[c_2250,c_4718]) ).
tff(c_1892,plain,
! [V_x_2601] : ( c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x_2601,V_x_2601,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x_2601,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_8317]) ).
tff(c_1230,plain,
! [V_x_1758,V_y_1759] : ( c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x_1758),c_NthRoot_Osqrt(V_y_1759),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x_1758,V_y_1759,tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_5535]) ).
tff(c_1990,plain,
! [V_x_2678] : ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x_2678,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x_2678,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x_2678 ),
inference(cnfTransformation,[status(thm)],[f_8625]) ).
tff(c_1240,plain,
! [V_r1_1768,V_a_1769,V_r2_1770,V_b_1771] : ( c_HOL_Otimes__class_Otimes(c_Complex_Orcis(V_r1_1768,V_a_1769),c_Complex_Orcis(V_r2_1770,V_b_1771),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(V_r1_1768,V_r2_1770,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_a_1769,V_b_1771,tc_RealDef_Oreal)) ),
inference(cnfTransformation,[status(thm)],[f_5557]) ).
tff(c_2064,plain,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(cnfTransformation,[status(thm)],[f_8809]) ).
tff(c_2438,plain,
c_Complex_Orcis(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(demodulation,[status(thm),theory(equality)],[c_1240,c_2064]) ).
tff(c_2439,plain,
c_Complex_Orcis(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(demodulation,[status(thm),theory(equality)],[c_1990,c_2438]) ).
tff(c_2440,plain,
c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_a) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(demodulation,[status(thm),theory(equality)],[c_1230,c_2439]) ).
tff(c_2441,plain,
c_Complex_Orcis(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(demodulation,[status(thm),theory(equality)],[c_1892,c_2440]) ).
tff(c_27499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4762,c_2441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG380-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 20:10:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 26.86/9.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.86/9.70
% 26.86/9.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.86/9.73
% 26.86/9.73 Inference rules
% 26.86/9.73 ----------------------
% 26.86/9.73 #Ref : 8
% 26.86/9.73 #Sup : 4994
% 26.86/9.73 #Fact : 4
% 26.86/9.73 #Define : 0
% 26.86/9.73 #Split : 2
% 26.86/9.73 #Chain : 0
% 26.86/9.73 #Close : 0
% 26.86/9.73
% 26.86/9.73 Ordering : KBO
% 26.86/9.73
% 26.86/9.73 Simplification rules
% 26.86/9.73 ----------------------
% 26.86/9.73 #Subsume : 876
% 26.86/9.73 #Demod : 4348
% 26.86/9.73 #Tautology : 2980
% 26.86/9.73 #SimpNegUnit : 151
% 26.86/9.73 #BackRed : 7
% 26.86/9.73
% 26.86/9.73 #Partial instantiations: 0
% 26.86/9.73 #Strategies tried : 1
% 26.86/9.73
% 26.86/9.73 Timing (in seconds)
% 26.86/9.73 ----------------------
% 26.86/9.73 Preprocessing : 1.87
% 26.86/9.73 Parsing : 1.11
% 26.86/9.73 CNF conversion : 0.15
% 26.86/9.73 Main loop : 6.80
% 26.86/9.73 Inferencing : 1.22
% 26.86/9.73 Reduction : 3.57
% 26.86/9.73 Demodulation : 2.71
% 26.86/9.73 BG Simplification : 0.20
% 26.86/9.73 Subsumption : 1.42
% 26.86/9.73 Abstraction : 0.09
% 26.86/9.73 MUC search : 0.00
% 26.86/9.73 Cooper : 0.00
% 26.86/9.73 Total : 8.73
% 26.86/9.73 Index Insertion : 0.00
% 26.86/9.73 Index Deletion : 0.00
% 26.86/9.73 Index Matching : 0.00
% 26.86/9.73 BG Taut test : 0.00
%------------------------------------------------------------------------------