%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG401-1 : TPTP v9.0.0. 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 : n032.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 : Wed Apr 9 05:25:09 PM UTC 2025
% Result : Unsatisfiable 194.55s 149.71s
% Output : CNFRefutation 194.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 66 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 110 ( 59 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 46 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 71 ( 69 usr; 1 prp; 0-5 aty)
% Number of functors : 34 ( 34 usr; 10 con; 0-3 aty)
% Number of variables : 90 ( 90 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Polynomial_Opdivmod__rel > c_lessequals > c_Ring__and__Field_Odvd__class_Odvd > c_HOL_Oord__class_Oless > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osemiring__0 > 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__1 > 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_Odvd > 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__0 > class_Ring__and__Field_Ocomm__semiring > class_Ring__and__Field_Ocomm__ring__1 > class_Ring__and__Field_Ocomm__ring > 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_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_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__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_Lattices_Oboolean__algebra > class_Int_Onumber__ring > class_HOL_Ozero > class_Divides_Osemiring__div > class_Divides_Oring__div > c_Power_Opower__class_Opower > c_Polynomial_Osmult > c_Polynomial_Opoly > c_Polynomial_OpCons > c_Polynomial_Omonom > c_Polynomial_Ocoeff > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly > c_Divides_Odiv__class_Omod > c_Divides_Odiv__class_Odiv > v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1 > c_RealVector_Onorm__class_Onorm > c_Polynomial_Odegree > c_HOL_Ouminus__class_Ouminus > c_HOL_Oinverse__class_Oinverse > c_Fundamental__Theorem__Algebra__Mirabelle_Opsize > #nlpp > v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2 > tc_Polynomial_Opoly > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > c_Complex_Oexpi > v_w____ > v_s____ > v_q____ > v_pa____ > v_k____ > v_a____ > tc_nat > tc_RealDef_Oreal > tc_Complex_Ocomplex > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_HOL_Ozero,type,
class_HOL_Ozero: $i > $o ).
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(class_OrderedGroup_Oordered__ab__group__add,type,
class_OrderedGroup_Oordered__ab__group__add: $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(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_Ring__and__Field_Osemiring__0,type,
class_Ring__and__Field_Osemiring__0: $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_Polynomial_Omonom,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $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(c_Complex_Oexpi,type,
c_Complex_Oexpi: $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(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_Divides_Oring__div,type,
class_Divides_Oring__div: $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(c_Polynomial_Osmult,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $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(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
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(c_Polynomial_Opdivmod__rel,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $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(v_k____,type,
v_k____: $i ).
tff(class_Ring__and__Field_Ocomm__ring,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
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_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_Ring__and__Field_Odvd__class_Odvd,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(c_Divides_Odiv__class_Odiv,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $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(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_Polynomial_OpCons,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
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(c_RealVector_Onorm__class_Onorm,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__1,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(c_Polynomial_Ocoeff,type,
c_Polynomial_Ocoeff: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Odvd,type,
class_Ring__and__Field_Odvd: $i > $o ).
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(c_Polynomial_Odegree,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff(v_w____,type,
v_w____: $i ).
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_Odivision__ring,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: ( $i * $i * $i ) > $i ).
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(v_a____,type,
v_a____: $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(v_q____,type,
v_q____: $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1: ( $i * $i ) > $i ).
tff(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2: $i > $i ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(v_s____,type,
v_s____: $i ).
tff(v_pa____,type,
v_pa____: $i ).
tff(f_7362,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_7130,axiom,
! [T_a,V_a,V_b] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
| ( c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ),
file(unknown,unknown) ).
tff(f_7363,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_7387,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_7389,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_7382,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_7372,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_6652,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_5638,axiom,
! [T_a,V_a,V_b] :
( ~ class_OrderedGroup_Ogroup__add(T_a)
| ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ),
file(unknown,unknown) ).
tff(f_3446,axiom,
! [T_a,V_x,V_y] :
( ~ class_Ring__and__Field_Oidom(T_a)
| ~ class_Int_Onumber__ring(T_a)
| ( c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) )
| ( V_x = V_y ) ),
file(unknown,unknown) ).
tff(f_7386,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_7364,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_6532,axiom,
! [T_a,V_x] :
( ~ class_RealVector_Oreal__normed__algebra(T_a)
| ( c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ),
file(unknown,unknown) ).
tff(f_4535,axiom,
! [T_a,V_b] :
( ~ class_OrderedGroup_Ogroup__add(T_a)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ),
file(unknown,unknown) ).
tff(f_7061,axiom,
! [T_a,V_x,V_a] :
( ~ class_Ring__and__Field_Oidom(T_a)
| ~ class_Int_Onumber__ring(T_a)
| ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) )
| ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) ),
file(unknown,unknown) ).
tff(f_4166,axiom,
! [T_a,V_a,V_b] :
( ~ class_Ring__and__Field_Oring(T_a)
| ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ),
file(unknown,unknown) ).
tff(f_7247,axiom,
v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file(unknown,unknown) ).
tff(f_6052,axiom,
! [T_a,V_x] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
| ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ),
file(unknown,unknown) ).
tff(f_6449,axiom,
! [T_a,V_a,V_p,V_x] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
| ( c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ),
file(unknown,unknown) ).
tff(f_7246,axiom,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(f_6502,axiom,
! [V_z] : ( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
file(unknown,unknown) ).
tff(f_7250,axiom,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file(unknown,unknown) ).
tff(c_1976,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7362]) ).
tff(c_11301,plain,
! [V_b_3133,V_a_3134,T_a_3135] :
( ( c_HOL_Otimes__class_Otimes(V_b_3133,V_a_3134,T_a_3135) = c_HOL_Otimes__class_Otimes(V_a_3134,V_b_3133,T_a_3135) )
| ~ class_Ring__and__Field_Ocomm__semiring__1(T_a_3135) ),
inference(cnfTransformation,[status(thm)],[f_7130]) ).
tff(c_11315,plain,
! [V_b_3133,V_a_3134] : ( c_HOL_Otimes__class_Otimes(V_b_3133,V_a_3134,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_a_3134,V_b_3133,tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[c_1976,c_11301]) ).
tff(c_1978,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7363]) ).
tff(c_2026,plain,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7387]) ).
tff(c_2030,plain,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7389]) ).
tff(c_2016,plain,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7382]) ).
tff(c_1996,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7372]) ).
tff(c_8479,plain,
! [V_b_3065,V_a_3066,T_a_3067] :
( ( c_HOL_Oplus__class_Oplus(V_b_3065,V_a_3066,T_a_3067) = c_HOL_Oplus__class_Oplus(V_a_3066,V_b_3065,T_a_3067) )
| ~ class_OrderedGroup_Ocomm__monoid__add(T_a_3067) ),
inference(cnfTransformation,[status(thm)],[f_6652]) ).
tff(c_8494,plain,
! [V_b_3065,V_a_3066] : ( c_HOL_Oplus__class_Oplus(V_b_3065,V_a_3066,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(V_a_3066,V_b_3065,tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[c_1996,c_8479]) ).
tff(c_9153,plain,
! [V_a_3079,V_b_3080,T_a_3081] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a_3079,V_b_3080,T_a_3081),V_b_3080,T_a_3081) = V_a_3079 )
| ~ class_OrderedGroup_Ogroup__add(T_a_3081) ),
inference(cnfTransformation,[status(thm)],[f_5638]) ).
tff(c_9180,plain,
! [V_b_3065,V_a_3066] :
( ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_b_3065,V_a_3066,tc_Complex_Ocomplex),V_b_3065,tc_Complex_Ocomplex) = V_a_3066 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_8494,c_9153]) ).
tff(c_9252,plain,
! [V_b_3065,V_a_3066] : ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_b_3065,V_a_3066,tc_Complex_Ocomplex),V_b_3065,tc_Complex_Ocomplex) = V_a_3066 ),
inference(demodulation,[status(thm),theory(equality)],[c_2016,c_9180]) ).
tff(c_22472,plain,
! [V_y_3367,V_x_3368,T_a_3369] :
( ( V_y_3367 = V_x_3368 )
| ( c_HOL_Ominus__class_Ominus(V_x_3368,V_y_3367,T_a_3369) != c_HOL_Ozero__class_Ozero(T_a_3369) )
| ~ class_Int_Onumber__ring(T_a_3369)
| ~ class_Ring__and__Field_Oidom(T_a_3369) ),
inference(cnfTransformation,[status(thm)],[f_3446]) ).
tff(c_22486,plain,
! [V_b_3065,V_a_3066] :
( ( c_HOL_Oplus__class_Oplus(V_b_3065,V_a_3066,tc_Complex_Ocomplex) = V_b_3065 )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != V_a_3066 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_9252,c_22472]) ).
tff(c_22981,plain,
! [V_b_3065] : ( c_HOL_Oplus__class_Oplus(V_b_3065,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = V_b_3065 ),
inference(demodulation,[status(thm),theory(equality)],[c_2026,c_2030,c_22486]) ).
tff(c_2024,plain,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7386]) ).
tff(c_1980,plain,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7364]) ).
tff(c_1528,plain,
! [V_x_2398,T_a_2397] :
( ( c_HOL_Otimes__class_Otimes(V_x_2398,c_HOL_Ozero__class_Ozero(T_a_2397),T_a_2397) = c_HOL_Ozero__class_Ozero(T_a_2397) )
| ~ class_RealVector_Oreal__normed__algebra(T_a_2397) ),
inference(cnfTransformation,[status(thm)],[f_6532]) ).
tff(c_13863,plain,
! [V_b_3193,V_a_3194] : ( c_HOL_Otimes__class_Otimes(V_b_3193,V_a_3194,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_a_3194,V_b_3193,tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[c_1976,c_11301]) ).
tff(c_14073,plain,
! [V_x_2398] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),V_x_2398,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_1528,c_13863]) ).
tff(c_14227,plain,
! [V_x_2398] : ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),V_x_2398,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(demodulation,[status(thm),theory(equality)],[c_1980,c_14073]) ).
tff(c_1004,plain,
! [V_b_1598,T_a_1597] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b_1598,T_a_1597),V_b_1598,T_a_1597) = c_HOL_Ozero__class_Ozero(T_a_1597) )
| ~ class_OrderedGroup_Ogroup__add(T_a_1597) ),
inference(cnfTransformation,[status(thm)],[f_4535]) ).
tff(c_18457,plain,
! [T_a_3308,V_a_3309,V_x_3310] :
( ( c_HOL_Ozero__class_Ozero(T_a_3308) = V_a_3309 )
| ( c_HOL_Oplus__class_Oplus(V_x_3310,V_a_3309,T_a_3308) != V_x_3310 )
| ~ class_Int_Onumber__ring(T_a_3308)
| ~ class_Ring__and__Field_Oidom(T_a_3308) ),
inference(cnfTransformation,[status(thm)],[f_7061]) ).
tff(c_18487,plain,
! [V_b_3065,V_a_3066] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = V_b_3065 )
| ( c_HOL_Oplus__class_Oplus(V_b_3065,V_a_3066,tc_Complex_Ocomplex) != V_a_3066 )
| ~ class_Int_Onumber__ring(tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_8494,c_18457]) ).
tff(c_18671,plain,
! [V_b_3313,V_a_3314] :
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = V_b_3313 )
| ( c_HOL_Oplus__class_Oplus(V_b_3313,V_a_3314,tc_Complex_Ocomplex) != V_a_3314 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2026,c_2030,c_18487]) ).
tff(c_18709,plain,
! [V_b_1598] :
( ( c_HOL_Ouminus__class_Ouminus(V_b_1598,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != V_b_1598 )
| ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_1004,c_18671]) ).
tff(c_18750,plain,
! [V_b_1598] :
( ( c_HOL_Ouminus__class_Ouminus(V_b_1598,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != V_b_1598 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2016,c_18709]) ).
tff(c_51431,plain,
! [V_a_3857,T_a_3858,V_b_3859] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a_3857,T_a_3858),c_HOL_Ouminus__class_Ouminus(V_b_3859,T_a_3858),T_a_3858) = c_HOL_Otimes__class_Otimes(V_a_3857,V_b_3859,T_a_3858) )
| ~ class_Ring__and__Field_Oring(T_a_3858) ),
inference(cnfTransformation,[status(thm)],[f_4166]) ).
tff(c_51657,plain,
! [V_a_3857,V_b_1598] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a_3857,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_a_3857,V_b_1598,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Oring(tc_Complex_Ocomplex)
| ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != V_b_1598 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18750,c_51431]) ).
tff(c_52146,plain,
! [V_a_3857] : ( c_HOL_Otimes__class_Otimes(V_a_3857,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(demodulation,[status(thm),theory(equality)],[c_2024,c_14227,c_11315,c_51657]) ).
tff(c_1756,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(cnfTransformation,[status(thm)],[f_7247]) ).
tff(c_10959,plain,
! [T_a_3123,V_x_3124] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a_3123)),V_x_3124,T_a_3123) = c_HOL_Ozero__class_Ozero(T_a_3123) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(T_a_3123) ),
inference(cnfTransformation,[status(thm)],[f_6052]) ).
tff(c_10968,plain,
! [V_x_3124] :
( ( c_Polynomial_Opoly(v_s____,V_x_3124,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_1756,c_10959]) ).
tff(c_10972,plain,
! [V_x_3124] : ( c_Polynomial_Opoly(v_s____,V_x_3124,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(demodulation,[status(thm),theory(equality)],[c_1978,c_10968]) ).
tff(c_196918,plain,
! [V_a_4957,V_x_4958,V_p_4959,T_a_4960] :
( ( c_HOL_Oplus__class_Oplus(V_a_4957,c_HOL_Otimes__class_Otimes(V_x_4958,c_Polynomial_Opoly(V_p_4959,V_x_4958,T_a_4960),T_a_4960),T_a_4960) = c_Polynomial_Opoly(c_Polynomial_OpCons(V_a_4957,V_p_4959,T_a_4960),V_x_4958,T_a_4960) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(T_a_4960) ),
inference(cnfTransformation,[status(thm)],[f_6449]) ).
tff(c_197791,plain,
! [V_a_4957,V_x_3124] :
( ( c_HOL_Oplus__class_Oplus(V_a_4957,c_HOL_Otimes__class_Otimes(V_x_3124,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(V_a_4957,v_s____,tc_Complex_Ocomplex),V_x_3124,tc_Complex_Ocomplex) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm),theory(equality)],[c_10972,c_196918]) ).
tff(c_198111,plain,
! [V_a_4957,V_x_3124] : ( c_Polynomial_Opoly(c_Polynomial_OpCons(V_a_4957,v_s____,tc_Complex_Ocomplex),V_x_3124,tc_Complex_Ocomplex) = V_a_4957 ),
inference(demodulation,[status(thm),theory(equality)],[c_1978,c_22981,c_52146,c_197791]) ).
tff(c_1754,plain,
c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7246]) ).
tff(c_1516,plain,
! [V_z_2386] : ( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z_2386,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z_2386,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z_2386,tc_Complex_Ocomplex) ),
inference(cnfTransformation,[status(thm)],[f_6502]) ).
tff(c_2139,plain,
! [V_z_2386] : ( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_z_2386,v_k____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_OpCons(v_a____,v_s____,tc_Complex_Ocomplex),V_z_2386,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z_2386,tc_Complex_Ocomplex) ),
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_1516]) ).
tff(c_431349,plain,
! [V_z_2386] : ( c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z_2386,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(V_z_2386,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(demodulation,[status(thm),theory(equality)],[c_11315,c_198111,c_2139]) ).
tff(c_1760,plain,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_a____,c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cnfTransformation,[status(thm)],[f_7250]) ).
tff(c_431353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_431349,c_1760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ALG401-1 : TPTP v9.0.0. Released v4.1.0.
% 0.05/0.10 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon Apr 7 14:42:01 EDT 2025
% 0.09/0.28 % CPUTime :
% 194.55/149.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 194.55/149.72
% 194.55/149.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------