TSTP Solution File: SWV602-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV602-1 : 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 : n005.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 11:05:18 EDT 2023
% Result : Unsatisfiable 47.98s 26.87s
% Output : CNFRefutation 47.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 100
% Syntax : Number of formulae : 124 ( 27 unt; 88 typ; 0 def)
% Number of atoms : 45 ( 35 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 97 ( 80 >; 17 *; 0 +; 0 <<)
% Number of predicates : 56 ( 54 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-3 aty)
% Number of variables : 38 (; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_HOL_Oord__class_Oless > c_Parity_Oeven__odd__class_Oeven > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring > 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 > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__algebra > class_RealVector_Oreal__field > 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_Oordered__ab__group__add > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Omonoid__add > 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_Lattices_Oboolean__algebra > class_Int_Oring__char__0 > class_Int_Onumber__ring > class_Int_Onumber > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > hAPP > c_RealDef_Oreal > c_Int_Onumber__class_Onumber__of > c_HOL_Ouminus__class_Ouminus > #nlpp > c_Transcendental_Otan > c_Transcendental_Osko__Transcendental__Xsin__zero__lemma__1__1 > c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2 > c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1 > c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1 > c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1 > c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2 > c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1 > c_Transcendental_Osin > c_Transcendental_Ocos > c_Suc > c_NthRoot_Osqrt > c_Int_OBit1 > c_Int_OBit0 > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > c_FFT__Mirabelle_Oroot > c_Complex_Ocis > v_n > tc_nat > tc_RealDef_Oreal > tc_Int_Oint > tc_Complex_Ocomplex > c_Transcendental_Opi > c_Int_OPls > c_Int_OMin
%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_Oordered__ab__group__add,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(c_Transcendental_Opi,type,
c_Transcendental_Opi: $i ).
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_RealDef_Oreal,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Parity_Oeven__odd__class_Oeven,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
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_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(c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1,type,
c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1: $i > $i ).
tff(c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1,type,
c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__1: $i > $i ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(v_n,type,
v_n: $i ).
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_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(c_Transcendental_Osko__Transcendental__Xsin__zero__lemma__1__1,type,
c_Transcendental_Osko__Transcendental__Xsin__zero__lemma__1__1: $i > $i ).
tff(c_Int_OBit1,type,
c_Int_OBit1: $i > $i ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(c_FFT__Mirabelle_Oroot,type,
c_FFT__Mirabelle_Oroot: $i > $i ).
tff(class_Ring__and__Field_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1,type,
c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1: $i > $i ).
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_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_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(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2,type,
c_Transcendental_Osko__Transcendental__Xsin__zero__iff__1__2: $i > $i ).
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_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_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(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2,type,
c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__2: $i > $i ).
tff(c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
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(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_RealVector_Oreal__field,type,
class_RealVector_Oreal__field: $i > $o ).
tff(c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1,type,
c_Transcendental_Osko__Transcendental__Xcos__zero__iff__1__1: $i > $i ).
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(c_Int_OMin,type,
c_Int_OMin: $i ).
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_6026,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_4038,axiom,
! [V_x,V_z] : ( V_x = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_635,axiom,
! [V_r,V_s] : ( c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_2263,axiom,
! [V_x,V_a] :
( ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ( V_x = V_a ) ),
file(unknown,unknown) ).
tff(f_7915,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_310,axiom,
! [T_a,V_a,V_b] :
( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
| ( c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ),
file(unknown,unknown) ).
tff(f_7894,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_7209,axiom,
! [T_a,V_b] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ),
file(unknown,unknown) ).
tff(f_7733,axiom,
! [V_z,V_w] : ( c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(f_7813,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_7812,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file(unknown,unknown) ).
tff(f_1513,axiom,
! [V_x] : ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file(unknown,unknown) ).
tff(c_1358,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_6026]) ).
tff(c_880,plain,
! [V_x_1304,V_z_1305] : ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x_1304,V_z_1305,tc_RealDef_Oreal),V_z_1305,tc_RealDef_Oreal) = V_x_1304 ),
inference(cnfTransformation,[status(thm)],[f_4038]) ).
tff(c_182,plain,
! [V_r_234,V_s_235] : ( c_HOL_Oplus__class_Oplus(V_r_234,c_HOL_Ouminus__class_Ouminus(V_s_235,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_r_234,V_s_235,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_635]) ).
tff(c_542,plain,
! [V_x_764,V_a_765] :
( ( V_x_764 = V_a_765 )
| ( c_HOL_Oplus__class_Oplus(V_x_764,c_HOL_Ouminus__class_Ouminus(V_a_765,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(cnfTransformation,[status(thm)],[f_2263]) ).
tff(c_4043,plain,
! [V_x_2542,V_a_2543] :
( ( V_x_2542 = V_a_2543 )
| ( c_HOL_Ominus__class_Ominus(V_x_2542,V_a_2543,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_542]) ).
tff(c_4053,plain,
! [V_x_1304,V_z_1305] :
( ( c_HOL_Oplus__class_Oplus(V_x_1304,V_z_1305,tc_RealDef_Oreal) = V_z_1305 )
| ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != V_x_1304 ) ),
inference(superposition,[status(thm),theory(equality)],[c_880,c_4043]) ).
tff(c_2036,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_7915]) ).
tff(c_12932,plain,
! [V_b_2690,V_a_2691,T_a_2692] :
( ( c_HOL_Oplus__class_Oplus(V_b_2690,V_a_2691,T_a_2692) = c_HOL_Oplus__class_Oplus(V_a_2691,V_b_2690,T_a_2692) )
| ~ class_OrderedGroup_Ocomm__monoid__add(T_a_2692) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_12945,plain,
! [V_b_2693,V_a_2694] : ( c_HOL_Oplus__class_Oplus(V_b_2693,V_a_2694,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_a_2694,V_b_2693,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_2036,c_12932]) ).
tff(c_23207,plain,
! [V_z_1305] : ( c_HOL_Oplus__class_Oplus(V_z_1305,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = V_z_1305 ),
inference(superposition,[status(thm),theory(equality)],[c_4053,c_12945]) ).
tff(c_1994,plain,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_7894]) ).
tff(c_4843,plain,
! [T_a_2568,V_b_2569] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a_2568),V_b_2569,T_a_2568) = c_HOL_Ozero__class_Ozero(T_a_2568) )
| ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a_2568) ),
inference(cnfTransformation,[status(thm)],[f_7209]) ).
tff(c_1802,plain,
! [V_z_2410,V_w_2411] : ( c_HOL_Otimes__class_Otimes(V_z_2410,V_w_2411,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w_2411,V_z_2410,tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_7733]) ).
tff(c_4866,plain,
! [V_b_2569] :
( ( c_HOL_Otimes__class_Otimes(V_b_2569,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) )
| ~ class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_4843,c_1802]) ).
tff(c_4936,plain,
! [V_b_2570] : ( c_HOL_Otimes__class_Otimes(V_b_2570,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(demodulation,[status(thm),theory(equality)],[c_1994,c_4866]) ).
tff(c_4957,plain,
! [V_b_2570] : ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b_2570,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(superposition,[status(thm),theory(equality)],[c_4936,c_1802]) ).
tff(c_1832,plain,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_7813]) ).
tff(c_2131,plain,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(demodulation,[status(thm),theory(equality)],[c_1802,c_1832]) ).
tff(c_1830,plain,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnfTransformation,[status(thm)],[f_7812]) ).
tff(c_2132,plain,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(demodulation,[status(thm),theory(equality)],[c_1802,c_1830]) ).
tff(c_368,plain,
! [V_x_510] : ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x_510),c_Transcendental_Ocos(V_x_510),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x_510),c_Transcendental_Osin(V_x_510),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(cnfTransformation,[status(thm)],[f_1513]) ).
tff(c_106250,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(superposition,[status(thm),theory(equality)],[c_2132,c_368]) ).
tff(c_106303,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(demodulation,[status(thm),theory(equality)],[c_23207,c_4957,c_2131,c_4957,c_106250]) ).
tff(c_106305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1358,c_106303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV602-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.17/0.36 % Computer : n005.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 23:11:26 EDT 2023
% 0.17/0.36 % CPUTime :
% 47.98/26.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.98/26.88
% 47.98/26.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 47.98/26.92
% 47.98/26.92 Inference rules
% 47.98/26.92 ----------------------
% 47.98/26.92 #Ref : 29
% 47.98/26.92 #Sup : 22168
% 47.98/26.92 #Fact : 8
% 47.98/26.92 #Define : 0
% 47.98/26.92 #Split : 12
% 47.98/26.92 #Chain : 0
% 47.98/26.92 #Close : 0
% 47.98/26.92
% 47.98/26.92 Ordering : KBO
% 47.98/26.92
% 47.98/26.92 Simplification rules
% 47.98/26.92 ----------------------
% 47.98/26.92 #Subsume : 3652
% 47.98/26.92 #Demod : 19175
% 47.98/26.92 #Tautology : 6202
% 47.98/26.92 #SimpNegUnit : 627
% 47.98/26.92 #BackRed : 2
% 47.98/26.92
% 47.98/26.92 #Partial instantiations: 0
% 47.98/26.92 #Strategies tried : 1
% 47.98/26.92
% 47.98/26.92 Timing (in seconds)
% 47.98/26.92 ----------------------
% 47.98/26.92 Preprocessing : 2.01
% 47.98/26.92 Parsing : 1.26
% 47.98/26.92 CNF conversion : 0.14
% 47.98/26.92 Main loop : 23.80
% 47.98/26.92 Inferencing : 2.57
% 47.98/26.92 Reduction : 14.36
% 47.98/26.92 Demodulation : 12.00
% 47.98/26.92 BG Simplification : 0.34
% 47.98/26.92 Subsumption : 5.44
% 47.98/26.92 Abstraction : 0.27
% 47.98/26.92 MUC search : 0.00
% 47.98/26.92 Cooper : 0.00
% 47.98/26.92 Total : 25.87
% 47.98/26.92 Index Insertion : 0.00
% 47.98/26.92 Index Deletion : 0.00
% 47.98/26.92 Index Matching : 0.00
% 47.98/26.92 BG Taut test : 0.00
%------------------------------------------------------------------------------