TSTP Solution File: SWV595-1 by DarwinFM---1.4.5
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%------------------------------------------------------------------------------
% File : DarwinFM---1.4.5
% Problem : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s
% Computer : n012.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 : 0s
% DateTime : Wed Jul 20 17:20:55 EDT 2022
% Result : Satisfiable 1.22s 1.38s
% Output : FiniteModel 1.22s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
fof(interpretation_domain,fi_domain,
! [X] :
( X = e1
| X = e2
| X = e3 ) ).
fof(interpretation_domain_distinct,fi_domain,
( e1 != e2
& e1 != e3
& e2 != e3 ) ).
fof(interpretation_terms,fi_functors,
( ! [X0,X1,X2] : c_Divides_Odiv__class_Odiv(X0,X1,X2) = e1
& ! [X0,X1,X2] :
( c_Fun_Oid(X0,X1) = X2
<=> ( ( X2 = e1
& X0 != e3
& X0 != e2 )
| ( X0 = e2
& X2 = e2 )
| ( X0 = e3
& X2 = e3 ) ) )
& ! [X0,X1,X2] :
( c_HOL_Oabs__class_Oabs(X0,X1) = X2
<=> ( ( X2 = e1
& X1 != e1 )
| ( X1 = e1
& X2 = e2
& X0 != e3 )
| ( X0 = e3
& X1 = e1
& X2 = e3 ) ) )
& ! [X0,X1,X2,X3] :
( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = X3
<=> ( ( X1 = e3
& X2 = e1
& X3 = e3 )
| ( X3 = e1
& X2 != e1 )
| ( X2 = e1
& X3 = e2
& X0 != e3
& X0 != e2
& X1 != e3
& X1 != e2 )
| ( X1 = e1
& X2 = e1
& X3 = e2
& X0 != e3
& X0 != e2 )
| ( X1 = e2
& X2 = e1
& X3 = e1
& X0 != e3
& X0 != e2 )
| ( X0 = e1
& X2 = e1
& X3 = e2
& X1 != e3
& X1 != e2 )
| ( X0 = e2
& X2 = e1
& X3 = e1
& X1 != e3
& X1 != e2 )
| ( X0 = e2
& X1 = e2
& X2 = e1
& X3 = e2 )
| ( X0 = e3
& X2 = e1
& X3 = e3 ) ) )
& ! [X0,X1,X2] :
( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
<=> ( ( X2 = e1
& ~ ( X0 = e3
& X1 = e1 )
& ~ ( X0 = e2
& X1 = e1 ) )
| ( X0 = e2
& X1 = e1
& X2 = e2 )
| ( X0 = e3
& X1 = e1
& X2 = e3 ) ) )
& ! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = X1
<=> ( ( X1 = e1
& X0 != e1 )
| ( X0 = e1
& X1 = e2 ) ) )
& ! [X0,X1,X2] :
( c_HOL_Osgn__class_Osgn(X0,X1) = X2
<=> ( ( X2 = e1
& ~ ( X0 = e3
& X1 = e1 )
& ~ ( X0 = e2
& X1 = e1 ) )
| ( X0 = e2
& X1 = e1
& X2 = e2 )
| ( X0 = e3
& X1 = e1
& X2 = e3 ) ) )
& ! [X0,X1,X2,X3] :
( c_HOL_Otimes__class_Otimes(X0,X1,X2) = X3
<=> ( ( X1 = e3
& X2 = e1
& X3 = e3 )
| ( X3 = e1
& X2 != e1 )
| ( X1 = X0
& X2 = e1
& X3 = e2
& X0 != e3 )
| ( X2 = e1
& X3 = e2
& X0 != e3
& X0 != e2
& X1 != e3
& X1 != e2 )
| ( X1 = e1
& X2 = e1
& X3 = e2
& X0 != e3
& X0 != e2 )
| ( X1 = e2
& X2 = e1
& X3 = e1
& X0 != e3
& X0 != e2 )
| ( X0 = e1
& X2 = e1
& X3 = e2
& X1 != e3
& X1 != e2 )
| ( X0 = e2
& X2 = e1
& X3 = e1
& X1 != e3
& X1 != e2 )
| ( X0 = e3
& X2 = e1
& X3 = e3 ) ) )
& ! [X0,X1,X2] :
( c_HOL_Ouminus__class_Ouminus(X0,X1) = X2
<=> ( ( X2 = e1
& X1 != e1 )
| ( X1 = e1
& X2 = e2
& X0 != e3
& X0 != e2 )
| ( X0 = e2
& X1 = e1
& X2 = e1 )
| ( X0 = e3
& X1 = e1
& X2 = e3 ) ) )
& ! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
<=> ( ( X1 = e1
& X0 != e1 )
| ( X0 = e1
& X1 = e3 ) ) )
& ! [X0,X1] : c_Log_Opowr(X0,X1) = e2
& ! [X0,X1] :
( c_NthRoot_Osqrt(X0) = X1
<=> ( ( X1 = e1
& X0 != e3
& X0 != e2 )
| ( X0 = e2
& X1 = e2 )
| ( X0 = e3
& X1 = e3 ) ) )
& ! [X0,X1,X2,X3] :
( c_Power_Opower__class_Opower(X0,X1,X2) = X3
<=> ( ( X3 = e1
& ~ ( X0 = e3
& X2 = e1 )
& ~ ( X0 = e2
& X2 = e1 ) )
| ( X0 = e2
& X2 = e1
& X3 = e2 )
| ( X0 = e3
& X2 = e1
& X3 = e3 ) ) )
& ! [X0,X1,X2] :
( c_RealVector_Onorm__class_Onorm(X0,X1) = X2
<=> ( ( X2 = e1
& X1 != e1 )
| ( X1 = e1
& X2 = e2
& X0 != e3 )
| ( X0 = e3
& X1 = e1
& X2 = e3 ) ) )
& ! [X0,X1,X2] :
( c_RealVector_Oof__real(X0,X1) = X2
<=> ( ( X2 = e1
& ~ ( X0 = e3
& X1 = e1 )
& ~ ( X0 = e2
& X1 = e1 ) )
| ( X0 = e2
& X1 = e1
& X2 = e2 )
| ( X0 = e3
& X1 = e1
& X2 = e3 ) ) )
& ! [X0,X1,X2,X3] :
( c_RealVector_OscaleR__class_OscaleR(X0,X1,X2) = X3
<=> ( ( X1 = e3
& X2 = e1
& X3 = e3 )
| ( X3 = e1
& X2 != e1 )
| ( X2 = e1
& X3 = e2
& X0 != e3
& X0 != e2
& X1 != e3
& X1 != e2 )
| ( X1 = e1
& X2 = e1
& X3 = e2
& X0 != e3
& X0 != e2 )
| ( X1 = e2
& X2 = e1
& X3 = e1
& X0 != e3
& X0 != e2 )
| ( X0 = e1
& X2 = e1
& X3 = e2
& X1 != e3
& X1 != e2 )
| ( X0 = e2
& X2 = e1
& X3 = e1
& X1 != e3
& X1 != e2 )
| ( X0 = e2
& X1 = e2
& X2 = e1
& X3 = e2 )
| ( X0 = e3
& X2 = e1
& X3 = e3 ) ) )
& ! [X0] : c_Transcendental_Ocos(X0) = e2
& c_Transcendental_Opi = e1
& ! [X0] : c_Transcendental_Osin(X0) = e3
& t_a = e1
& tc_RealDef_Oreal = e1
& v_x = e1 ) ).
fof(interpretation_atoms,fi_predicates,
( ! [X0,X1] :
( c_Int_Oiszero(X0,X1)
<=> ( X0 = e3
& X1 = e1 ) )
& ! [X0,X1,X2] :
( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
<=> ( ( X2 = e1
& X0 != e3 )
| ( X1 = e3
& X2 = e1 )
| ( X1 = X0
& X2 = e1 ) ) )
& ! [X0,X1,X2] :
( c_lessequals(X0,X1,X2)
<=> ( ( X0 = e3
& X1 = e2
& X2 = e1 )
| ( X1 = e3
& X2 = e1
& X0 != e2 )
| ( X2 = e1
& X0 != e3
& X0 != e2 )
| ( X1 = X0
& X2 = e1 ) ) )
& ! [X0] :
( class_Divides_Oring__div(X0)
<=> $false )
& ! [X0] :
( class_Divides_Osemiring__div(X0)
<=> $false )
& ! [X0] :
( class_Int_Onumber__ring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Lattices_Oboolean__algebra(X0)
<=> $false )
& ! [X0] :
( class_OrderedGroup_Oab__semigroup__idem__mult(X0)
<=> $false )
& ! [X0] :
( class_OrderedGroup_Oab__semigroup__mult(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Ocomm__monoid__mult(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Ogroup__add(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Olordered__ab__group__add(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Omonoid__mult(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Oordered__ab__group__add(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
<=> X0 = e1 )
& ! [X0] :
( class_OrderedGroup_Opordered__ab__group__add__abs(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Orderings_Olinorder(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Orderings_Oorder(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Orderings_Opreorder(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Power_Opower(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__algebra(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__algebra__1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__normed__algebra(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__normed__algebra__1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__normed__div__algebra(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__normed__field(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__normed__vector(X0)
<=> X0 = e1 )
& ! [X0] :
( class_RealVector_Oreal__vector(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Ocomm__ring__1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Ocomm__semiring__1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Odivision__by__zero(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Odivision__ring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Odvd(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Ofield(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oidom(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Olordered__ring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Omult__mono(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Omult__mono1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Omult__zero(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Ono__zero__divisors(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oordered__field(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oordered__idom(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oordered__ring__strict(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oordered__semidom(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Opordered__ring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Opordered__ring__abs(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Opordered__semiring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oring(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oring__1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Oring__no__zero__divisors(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Osemiring__1(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Osgn__if(X0)
<=> X0 = e1 )
& ! [X0] :
( class_Ring__and__Field_Ozero__neq__one(X0)
<=> X0 = e1 ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s
% 0.14/0.35 % Computer : n012.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 % DateTime : Thu Jun 16 00:38:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Defaulting to tptp format.
% 1.22/1.38 SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.22/1.38
% 1.22/1.38 MODEL (TPTP):
% 1.22/1.38 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------